%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.03", %%% date = "10 January 2026", %%% time = "11:23:20 MDT", %%% filename = "cordic.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% URL = "https://www.math.utah.edu/~beebe", %%% checksum = "55435 39031 166961 1755503", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; computer arithmetic; %%% computer hardware; cotangent; CORDIC %%% (COordinate Rotation DIgital Computer); %%% cosine; elementary functions; exponential; %%% inverse cotangent; inverse tangent; %%% logarithm; sine; tangent", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications %%% about CORDIC algorithms for implementing %%% divide, multiply, and square root operations, %%% and for evaluation of selected elementary %%% functions commonly used in computer %%% programming languages. Extended applications %%% of CORDIC methods include matrix computations %%% and hardware random-number generation. %%% %%% At version 1.03, the year coverage looked %%% like this: %%% %%% 1624 ( 1) 1759 ( 0) 1894 ( 0) %%% 1686 ( 0) 1821 ( 0) 1956 ( 2) %%% 1688 ( 0) 1823 ( 0) 1958 ( 1) %%% 1689 ( 0) 1824 ( 0) 1959 ( 4) %%% 1690 ( 0) 1825 ( 0) 1960 ( 2) %%% 1692 ( 0) 1827 ( 0) 1962 ( 3) %%% 1695 ( 0) 1830 ( 0) 1965 ( 2) %%% 1696 ( 0) 1831 ( 0) 1966 ( 1) %%% 1698 ( 0) 1833 ( 0) 1968 ( 2) %%% 1699 ( 0) 1834 ( 0) 1969 ( 1) %%% 1700 ( 0) 1835 ( 0) 1970 ( 2) %%% 1701 ( 0) 1836 ( 0) 1971 ( 2) %%% 1702 ( 0) 1837 ( 0) 1972 ( 4) %%% 1703 ( 0) 1838 ( 0) 1973 ( 6) %%% 1704 ( 0) 1839 ( 0) 1974 ( 4) %%% 1705 ( 0) 1840 ( 0) 1975 ( 6) %%% 1706 ( 0) 1841 ( 0) 1976 ( 2) %%% 1707 ( 0) 1842 ( 0) 1977 ( 5) %%% 1708 ( 0) 1843 ( 0) 1978 ( 3) %%% 1709 ( 0) 1844 ( 0) 1979 ( 7) %%% 1710 ( 0) 1845 ( 0) 1980 ( 7) %%% 1711 ( 0) 1846 ( 0) 1981 ( 3) %%% 1712 ( 0) 1847 ( 0) 1982 ( 8) %%% 1713 ( 0) 1848 ( 0) 1983 ( 11) %%% 1714 ( 0) 1849 ( 0) 1984 ( 11) %%% 1715 ( 0) 1850 ( 0) 1985 ( 17) %%% 1716 ( 0) 1851 ( 0) 1986 ( 10) %%% 1717 ( 0) 1852 ( 0) 1987 ( 20) %%% 1718 ( 0) 1853 ( 0) 1988 ( 16) %%% 1719 ( 0) 1854 ( 0) 1989 ( 34) %%% 1720 ( 0) 1855 ( 0) 1990 ( 24) %%% 1721 ( 0) 1856 ( 0) 1991 ( 28) %%% 1722 ( 0) 1857 ( 0) 1992 ( 20) %%% 1723 ( 0) 1858 ( 0) 1993 ( 25) %%% 1724 ( 0) 1859 ( 0) 1994 ( 20) %%% 1725 ( 0) 1860 ( 0) 1995 ( 23) %%% 1726 ( 0) 1861 ( 0) 1996 ( 24) %%% 1727 ( 0) 1862 ( 0) 1997 ( 27) %%% 1728 ( 0) 1863 ( 0) 1998 ( 35) %%% 1729 ( 0) 1864 ( 0) 1999 ( 18) %%% 1730 ( 0) 1865 ( 0) 2000 ( 33) %%% 1731 ( 0) 1866 ( 0) 2001 ( 23) %%% 1732 ( 0) 1867 ( 0) 2002 ( 22) %%% 1733 ( 0) 1868 ( 0) 2003 ( 23) %%% 1734 ( 0) 1869 ( 0) 2004 ( 27) %%% 1735 ( 0) 1870 ( 0) 2005 ( 30) %%% 1736 ( 0) 1871 ( 0) 2006 ( 37) %%% 1737 ( 0) 1872 ( 0) 2007 ( 32) %%% 1738 ( 0) 1873 ( 0) 2008 ( 42) %%% 1739 ( 0) 1874 ( 0) 2009 ( 44) %%% 1740 ( 0) 1875 ( 0) 2010 ( 58) %%% 1741 ( 0) 1876 ( 0) 2011 ( 60) %%% 1742 ( 0) 1877 ( 0) 2012 ( 67) %%% 1743 ( 0) 1878 ( 0) 2013 ( 51) %%% 1744 ( 0) 1879 ( 0) 2014 ( 54) %%% 1745 ( 0) 1880 ( 0) 2015 ( 61) %%% 1746 ( 0) 1881 ( 0) 2016 ( 62) %%% 1747 ( 0) 1882 ( 0) 2017 ( 54) %%% 1748 ( 0) 1883 ( 0) 2018 ( 55) %%% 1749 ( 0) 1884 ( 0) 2019 ( 55) %%% 1750 ( 0) 1885 ( 0) 2020 ( 61) %%% 1751 ( 0) 1886 ( 0) 2021 ( 47) %%% 1752 ( 0) 1887 ( 0) 2022 ( 32) %%% 1753 ( 0) 1888 ( 0) 2023 ( 41) %%% 1754 ( 0) 1889 ( 0) 2024 ( 49) %%% 1755 ( 0) 1890 ( 0) 2025 ( 44) %%% 1756 ( 0) 1891 ( 0) 2026 ( 1) %%% 19xx ( 1) %%% %%% Article: 486 %%% Book: 21 %%% InBook: 52 %%% InCollection: 10 %%% InProceedings: 941 %%% MastersThesis: 21 %%% Misc: 13 %%% PhdThesis: 26 %%% Proceedings: 22 %%% TechReport: 14 %%% Unpublished: 1 %%% %%% Total entries: 1607 %%% %%% Web resources about CORDIC algorithms include %%% %%% https://cordic-bibliography.blogspot.com/p/cordic-bibliography-other-publications.html %%% https://docs.amd.com/r/en-US/ug958-vivado-sysgen-ref/CORDIC-ATAN %%% https://en.wikipedia.org/wiki/CORDIC %%% https://web.cs.ucla.edu/digital_arithmetic/files/ch11.pdf %%% https://www.allaboutcircuits.com/technical-articles/an-introduction-to-the-cordic-algorithm/ %%% https://www.controlpaths.com/2022/04/25/exploring-the-cordic-algorithm/ %%% %%% This file contains all of the references in %%% the extensive bibliographies of entry %%% Hu:1992:CBV, and Chapter 11 of entry %%% Ercegovac:2004:DA, plus all of the entries %%% with CORDIC titles found in 2.05 million %%% entries in the BibNet Project and the TeX %%% User Group bibliography archives. Thus, the %%% CORDIC coverage in this file is extensive, %%% but certainly far from complete. %%% %%% The history of the development of the CORDIC %%% algorithms is described in a conference paper %%% [Volder:1959:CCT] and its journal reprint %%% [Volder:1959:CTC]. Its description appeared %%% first in an internal corporate report %%% [Volder:1956:BCA]. It grew out of a pressing %%% need for real-time defense aircraft %%% navigation, particularly near the North Pole. %%% That had previously been done by analog %%% devices, but they proved too slow. The first %%% hardware implementations of the navigation %%% systems were the CORDIC-I and CORDIC-II %%% computers, whose descriptions, photographs, %%% and specifications appear in Volder's 1959 %%% paper. %%% %%% Volder writes that a key need in navigation %%% is to rotate vector coordinate systems, %%% according to the relations (in TeX notation) %%% %%% x_r = x \cos(\beta + \theta) - y \sin(\theta) %%% Y_r = x \sin(\beta + \theta) - y \cos(\theta) %%% %%% which take a point (x,y) in a coordinate %%% system already rotated by an angle \beta into %%% a new point (x_r, y_r) in a coordinate system %%% further rotated by \theta. %%% %%% Volder found angle-addition formulas for %%% trigonometric functions in the 1946 Handbook %%% of Chemistry and Physics, and realized after %%% study that the rotations could be carried out %%% in tiny, but simple, steps such that with a %%% single-step rotation by a small angle \phi %%% defined by %%% %%% \tan(\phi) = 2^{-n} %%% \phi = \arctan(2^{-n}) %%% %%% then after the first step, we have a scale %%% factor %%% %%% K = \sqrt{1 + 2^{-2 n}} %%% %%% and the new cosine and sine are defined by %%% %%% K \cos(\beta \pm \phi) = \cos(\beta) \pm %%% 2^{-n} \sin(\beta) %%% %%% K \sin(\beta \pm \phi) = \sin(\beta) \pm %%% 2^{-n} \cos(\beta) %%% %%% The product of K factors after n steps scales %%% the final cosine and sine values. If the %%% initial \beta is 0, we start with \cos(0) = 1 %%% and \sin(0) = 0, and after n steps, we have %%% found \cos(\phi) and \sin(phi) by operations %%% that only require multiplication by 1 and 1 %% + 2{-k}, which in fixed-point binary %%% arithmetic only requires a bit shift and an %%% addition. %%% %%% The required initial value of \phi is easily %%% found from the Taylor series expansion %%% %%% % maple %%% > taylor(arctan(x), x = 0, 9); %%% 3 5 7 9 %%% x - 1/3 x + 1/5 x - 1/7 x + O(x ) %%% %%% If we have a p-bit fixed-point number, then %%% that sum can be truncated to just its first %%% term if we pick step numbers n >= p/2. Thus, %%% NO TRIGONOMETRIC FUNCTIONS WHATEVER are %%% needed to find the cosine and sine: we get %%% those values after n shift-add steps, and a %%% final division by the product of intermdiate %%% K values. A division of the sine by the %%% cosine produces the tangent. %%% %%% There is some evidence of earlier discovery %%% of CORDIC-like algorithms. According to %%% entries Linhardt:1969:DDT, Kropa:1978:CA, and %%% Muller:2006:EFA the English mathematician %%% Henry Briggs (1561--1630), one of the fathers %%% of logarithms, found and used the method %%% about 1616--1617. Briggs' work is recorded %%% in entry Briggs:1624:ALL, and analyzed, %%% corrected, and reproduced in entry %%% Roegel:2011:RTB. Danny Hillis, the chief %%% architect of the Connection Machine %%% supercomputer in the 1980s wrote in entry %%% Hillis:1989:RFC that his consultant, Richard %%% P. Feynman (Nobel Prize in Physics, 1965), %%% independently discovered the CORDIC algorithm %%% in his theoretical and computational work in %%% the Manhattan Project (1943--1945) at Los %%% Alamos, New Mexico, during World War II. %%% Feynman apparently never published that %%% algorithm, so the details, and practical %%% applications, of his CORDIC work are lost. %%% %%% Thus, Bemer (1958), Volder (1956, 1959), and %%% Walther (1971) generally get citation credit %%% for CORDIC methods. An earlier candidate for %%% CORDIC credit is entry Marx:1956:ABL, but %%% that publication has not yet been located to %%% check its methods, and so far, only one %%% reference to it, in entry Ercegovac:1973:REC, %%% has been found. Volder's 1956 work was a %%% corporate secret, but became known through %%% his 1959 Western Joint Computer Conference %%% presentation and its journal reprint later %%% that year. In his 1971 Spring Joint Computer %%% Conference paper, Walther generalized %%% Volder's trigonometric approach to also %%% handle hyperbolic functions. %%% %%% Here are some useful function relations %%% that expand the scope of CORDIC methods, %%% and give useful cross checks on correct %%% implementation: %%% %%% cos(x + 2 n PI) = cos(x) %%% %%% cos(x) = sqrt(1 - sin(x)**2) %%% %%% cosh(x) = sqrt(1 + sinh(x)**2) %%% %%% exp(x) = cosh(x) + sinh(x) %%% %%% ln((1 + x) / (1 - x)) = 2 atanh(x) %%% %%% ln(x) = 2 atanh((x - 1) / (x + 1)) %%% %%% ln(1 + x) = 2 atanh(x / (x + 2)) %%% %%% sin(x + 2 n PI) = sin(x) %%% %%% sin(x) = sqrt(1 - cos(x)**2) %%% %%% sinh(x) = sqrt(cosh(x)**2 - 1) %%% %%% tan(x) = sin(x) / cos(x) %%% %%% tan(PI / 2 - x) = 1 / tan(x) %%% %%% tan(x + n PI) = tan(x) [n an integer] %%% %%% tan(x + PI/2) = tan(x) - 2 / sin(2 x) %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \k \let \k = \c \fi" # "\hyphenation{Cor-dic COR-DIC}" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|https://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Institute abbreviations: @String{inst-LORIA-INRIA-LORRAINE = "LORIA/INRIA Lorraine"} @String{inst-LORIA-INRIA-LORRAINE:adr = "B{\^a}timent A, Technop{\^o}le de Nancy-Brabois, 615 rue du jardin botanique, F-54602 Villers-l{\`e}s-Nancy Cedex, France"} %%% ==================================================================== %%% Journal abbreviations: @String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"} @String{j-ASTRON-ASTROPHYS = "Astronomy and Astrophysics"} @String{j-C-R-PHYS = "Comptes Rendus Physique"} @String{j-CACM = "Communications of the ACM"} @String{j-COLLEGE-MATH-J = "College Mathematics Journal"} 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"IEEE Micro"} @String{j-IEEE-POT = "IEEE Potentials"} @String{j-IEEE-SIGNAL-PROCESS-LETT = "IEEE Signal Processing Letters"} @String{j-IEEE-SIGNAL-PROCESS-MAG = "IEEE Signal Processing Magazine"} @String{j-IEEE-SOFTWARE = "IEEE Software"} @String{j-IEEE-SPECTRUM = "IEEE Spectrum"} @String{j-IEEE-TIT = "IEEE Transactions on Information Theory"} @String{j-IEEE-TRANS-ACOUST-SPEECH = "IEEE Transactions on Acoustics, Speech, and Signal Processing"} @String{j-IEEE-TRANS-AEROSP-ELECTRON-SYST = "IEEE Transactions on Aerospace and Electronic Systems"} @String{j-IEEE-TRANS-APPL-SUPERCOND = "IEEE Transactions on Applied Superconductivity"} @String{j-IEEE-TRANS-AUDIO-ELECTROACOUST = "IEEE Transactions on Audio and Electroacoustics"} @String{j-IEEE-TRANS-AUTOMAT-CONTR = "IEEE Transactions on Automatic Control"} @String{j-IEEE-TRANS-BIOMED-ENG = "IEEE Transactions on Biomedical Engineering"} @String{j-IEEE-TRANS-BROADCAST = "IEEE Transactions on Broadcasting"} @String{j-IEEE-TRANS-CAD-ICS = "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems"} @String{j-IEEE-TRANS-CIRCUITS-SYST = "IEEE Transactions on Circuits and Systems"} @String{j-IEEE-TRANS-CIRCUITS-SYST-1 = "IEEE Transactions on Circuits and Systems I: Regular Papers"} @String{j-IEEE-TRANS-CIRCUITS-SYST-I-FUNDAM-THEORY-APPL = "IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications"} @String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE transactions on circuits and systems. 2, Analog and digital signal processing"} @String{j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS = "IEEE Transactions on Circuits and Systems II: Express Briefs"} @String{j-IEEE-TRANS-CIRCUITS-SYST-VIDEO-TECH = "IEEE Transactions on Circuits and Systems for Video Technology"} @String{j-IEEE-TRANS-CIRCUIT-THEORY = "IEEE Transactions on Circuit Theory"} @String{j-IEEE-TRANS-COMM = "IEEE Transactions on Communications"} @String{j-IEEE-TRANS-COMPUT = "IEEE Transactions on Computers"} 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of Electronics Theoretical \& Experimental"} @String{j-INTEGRATION-VLSI-J = "Integration, the VLSI Journal"} @String{j-IRE-TRANS-ELEC-COMPUT = "IRE Transactions on Electronic Computers"} @String{j-J-CHINESE-INST-ENG = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan"} @String{j-J-COMPUT-SCI = "Journal of Computational Science"} @String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and Applications"} @String{j-J-OPT-SOC-AM = "Journal of the Optical Society of America"} @String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed Computing"} @String{j-J-PHYS-CONF-SER = "Journal of Physics: Conference Series"} @String{j-J-SYST-ARCH = "Journal of Systems Architecture"} @String{j-J-VLSI-COMPUT-SYST = "Journal of VLSI and Computer Systems"} @String{j-J-VLSI-SIGNAL-PROC = "Journal of VLSI Signal Processing"} @String{j-J-VLSI-SIGNAL-PROC-SSIVT = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology"} 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@String{j-PROC-IEEE = "Proceedings of the IEEE"} @String{j-RCA-REV = "RCA Review"} @String{j-SCI-REP = "Scientific Reports"} @String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical Computing"} @String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"} @String{j-SIG-PROC = "Signal Processing"} @String{j-SIGNAL-PROCESS-IMAGE-COMMUN = "Signal Processing: Image Communication"} @String{j-SYS-COMP-JAPAN = "Systems and Computers in {Japan}"} @String{j-TECHNIQUE-SCI-INFORMATIQUES = "Technique et Science Informatiques"} @String{j-TRETS = "ACM Transactions on Reconfigurable Technology and Systems"} @String{j-UMAP = "The UMAP Journal"} @String{j-Z-ANGE-MATH-MECH = "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"} %%% ==================================================================== %%% Publishers and their addresses: @String{pub-ACM = "ACM Press"} @String{pub-ACM:adr = "New York, NY 10036, USA"} @String{pub-AFIPS = "AFIPS Press"} @String{pub-AFIPS:adr = "Montvale, NJ, USA"} @String{pub-AIP = "American Institute of Physics"} @String{pub-AIP:adr = "Woodbury, NY, USA"} @String{pub-BIRKHAUSER = "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"} @String{pub-IEEE = "IEEE Computer Society Press"} @String{pub-IEEE:adr = "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-IBM = "IBM Corporation"} @String{pub-IBM:adr = "Armonk, NY, USA"} @String{pub-MIT = "MIT Press"} @String{pub-MIT:adr = "Cambridge, MA, USA"} @String{pub-MORGAN-KAUFMANN = "Morgan Kaufmann Publishers"} @String{pub-MORGAN-KAUFMANN:adr = "Los Altos, CA 94022, USA"} @String{pub-OXFORD = "Oxford University Press"} @String{pub-OXFORD:adr = "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PH = "Pren{\-}tice-Hall"} @String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"} @String{pub-PRINCETON = "Princeton University Press"} @String{pub-PRINCETON:adr = "Princeton, NJ, USA"} @String{pub-SIAM = "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SPIE = "Society of Photo-optical Instrumentation Engineers (SPIE)"} @String{pub-SPIE:adr = "Bellingham, WA, USA"} @String{pub-SV = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-SV-CHAM = "Spring{\-}er-Ver{\-}lag"} @String{pub-SV-CHAM:adr = "Cham, Switzerland"} @String{pub-WILEY = "Wiley"} @String{pub-WILEY:adr = "New York, NY, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LNCS = "Lecture Notes in Computer Science"} %%% ==================================================================== %%% Bibliography entries, sorted by year, and within each year, by %%% citation label, with ``bibsort -byyear''. @Book{Briggs:1624:ALL, author = "Henry Briggs", title = "Arithmetica Logarithmica. ({Latin}) [{Logarithmic} arithmetic]", publisher = "Excudebat Gulielmus Iones", address = "London, UK", year = "1624", bibdate = "Mon Nov 10 08:25:38 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "This may be the earliest use of a CORDIC-like algorithm for computing tables of logarithms, although it seems to have been unknown to those who are later credited with the CORDIC invention \cite{Volder:1956:BCA,Bemer:1958:SMC,Volder:1959:CCT,Volder:1959:CTC,Walther:1971:UAE}. See \cite{Roegel:2011:RTB} for an analyis and description of Briggs' computational methods, and a list of 120 publications about Briggs' tables", URL = "http://www.17centurymaths.com; https://archive.org/details/bub_gb_L88WAAAAQAAJ; https://en.wikipedia.org/wiki/Henry_Briggs_(mathematician); https://old.maa.org/press/periodicals/convergence/mathematical-treasure-iarithmetica-logarithmicai-of-henry-briggs; https://www.google.com/books/edition/Arithmetica_logarithmica/L88WAAAAQAAJ?hl=en", acknowledgement = ack-nhfb, author-dates = "1 February 1561--26 January 1630", language = "Latin", remark-1 = "Cited briefly in \cite[page 75]{Andrews:1978:EFM}. Other sources suggest years of 1616--1617. Denis Roegel \cite{Roegel:2011:RTB} says that Briggs published in 1617 a 16-page booklet with a 15-page table of 14-digit base-10 logarithms of the integers from 1 to 1000. This 1624 publication continues that work, supplying 14-digit logarithms of the integers 1 to 20000, and 90001 to 100000.", remark-2 = "Full Latin title is \booktitle{Arithmetica logarithmica, sive, Logarithmorum chiliades triginta: pro numeris naturali serie crescentibus ab vnitate ad 20,000, et a 90,000 ad 100,000: quorum ope multa perficiuntur arithmetica problemata et geometrica: hos numeros primus invenit clarissimus vir Iohannes Neperus, Baro Merchistonij: eos autem ex eiusdem sententia mutavit / eorumque ortum et vsum illustravit Henricus Briggius \ldots{}}. A machine translation is \booktitle{Logarithmic arithmetic, or, Thirty thousand logarithms: for natural numbers in series increasing from unity to 20,000, and from 90,000 to 100,000: by means of which many arithmetical and geometric problems are accomplished: these numbers were first invented by the most illustrious man John Neperus, Baron Merchiston: but they were changed according to his own opinion / and their origin and use were illustrated by Henry Briggs \ldots{}}.", } @Article{Marx:1956:ABL, author = "Helmut Marx", title = "{Additionsverfahren zur Berechnung des Logarithmus und der Exponentialfunktion (I)}. ({German}) [{Addition} method for calculating the logarithm and the exponential function ({I})]", journal = "{Mitteilungen des Mathematischen Seminars der Universit{\"a}t Gie{\ss}en}", number = "54", pages = "i + 26", day = "??", month = "????", year = "1956", MRclass = "68.0X", MRnumber = "82745", bibdate = "Mon Nov 10 11:53:20 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, language = "German", remark-1 = "From the MathSciNet review by D. H. Lehmer: ``$exp(x + i y)$ can be computed to nearly 10 decimal places with at most 131 additions.'' Until the full paper can be located, it is uncertain whether Marx had any contact with Volder, whose 1956 report was then still a corporate secret.", remark-2 = "Cited in \cite{Ercegovac:1973:REC}. According to https://onlinebooks.library.upenn.edu/webbin/serial?id=mittmathsemgies, only numbers 1--28 have been found and are available online.", remark-3 = "Were there later papers, II, III, \ldots{}?", xxjournal = "Mitteilungen aus dem Mathematische Seminar Giessen", } @TechReport{Volder:1956:BCA, author = "Jack E. Volder", title = "Binary Computation Algorithms for Coordinate Rotation and Function Generation", type = "Internal report", number = "IAR-1.148", institution = "Convair Corporation", address = "Ft. Worth, TX, USA", day = "15", month = jun, year = "1956", bibdate = "Tue Oct 28 09:41:06 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, remark = "This is Volder's first report on the CORDIC (COordinate Rotation DIgital Computer) algorithm. It was not made public until a 1959 conference presentation \cite{Volder:1959:CCT} and journal reprint \cite{Volder:1959:CTC}.", } @Article{Bemer:1958:SMC, author = "Robert W. Bemer", title = "A Subroutine Method for Calculating Logarithms", journal = j-CACM, volume = "1", number = "5", pages = "5--8", month = may, year = "1958", CODEN = "CACMA2", DOI = "https://doi.org/10.1145/368819.368848", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:21 MDT 2004", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Bemer58a; http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/cacm1950.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "https://dl.acm.org/loi/cacm", oldlabel = "Bemer58a", remark = "Historical note: Bob Bemer was the inventor of the ASCII character set.", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Bemer58a", } @Article{Daggett:1959:DBC, author = "D. H. Daggett", title = "Decimal--Binary Conversions in {CORDIC}", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "3", pages = "335--339", month = sep, year = "1959", CODEN = "IRELAO", DOI = "https://doi.org/10.1109/TEC.1959.5222694", ISSN = "0367-9950", ISSN-L = "0367-9950", bibdate = "Thu Sep 08 08:14:00 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "IRE Transactions on Electronic Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5407885", keywords = "Application software; Binary codes; Clocks; decimal floating-point arithmetic; Digital arithmetic; Equations; Goniometers; Shift registers", } @InProceedings{Volder:1959:CCT, author = "Jack E. Volder", editor = "????", booktitle = "Proceedings of the Western Joint Computer Conference 1959", title = "The {CORDIC} Computing Technique", publisher = "????", address = "????", pages = "257--261", year = "1959", bibdate = "Tue Oct 28 09:26:32 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Reprinted in \cite{Volder:1959:CTC}. See also internal report \cite{Volder:1956:BCA}", acknowledgement = ack-nhfb, keywords = "aircraft navigation; Algorithms; Analog computers; Arithmetic; Computer aided instruction; CORDIC (COordinate Rotation DIgital Computer); CORDIC-I navigation computer; CORDIC-II navigation computer; Instruments; Polynomials; Programming profession; Registers; Resumes; Switches", } @Article{Volder:1959:CTC, author = "Jack E. Volder", title = "The {CORDIC} Trigonometric Computing Technique", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "3", pages = "330--334", month = sep, year = "1959", CODEN = "IRELAO", DOI = "https://doi.org/10.1109/TEC.1959.5222693", ISSN = "0367-9950", ISSN-L = "0367-9950", bibdate = "Thu Sep 1 10:15:31 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprint of \cite{Volder:1959:CCT}. See also internal report \cite{Volder:1956:BCA}", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "IRE Transactions on Electronic Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5407885", keywords = "aircraft navigation; Algorithms; Analog computers; Arithmetic; Computer aided instruction; CORDIC (COordinate Rotation DIgital Computer); CORDIC-I navigation computer; CORDIC-II navigation computer; Instruments; Polynomials; Programming profession; Registers; Resumes; Switches", } @Article{Wensley:1959:CNA, author = "J. H. Wensley", title = "A Class of Non-Analytical Iterative Processes", journal = j-COMP-J, volume = "1", number = "4", pages = "163--167", month = jan, year = "1959", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/1.4.163", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Tue Dec 4 14:47:23 MST 2012", bibsource = "Compiler/semantics.bib; http://comjnl.oxfordjournals.org/content/1/4.toc; http://www.math.utah.edu/pub/tex/bib/compj1950.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://comjnl.oxfordjournals.org/content/1/4/163.full.pdf+html; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/010163.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/163.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/164.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/165.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/166.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/167.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", remark = "The author describes digit-at-a-time algorithms for divide, square root, fourth root, inverse cosine, inverse tangent, inverse Jacobi elliptic function, and logarithm.", } @InProceedings{Akushsky:1960:MSO, author = "I. Y. Akushsky and L. B. Emelianow-Yaroslavsky and E. A. Klyamko and V. S. Linsky and G. D. Monakhov", editor = "????", booktitle = "Information Processing, Proceedings of the {International Conference on Information Processing, UNESCO, Paris, 15--20 June 1959}", title = "Methods of speeding-up the operation of digital computers", publisher = "UNESCO / R. Oldenbourg / Butterworths", address = "Paris, France / Munich, West Germany / London, UK", pages = "382--389 (or 382--388??)", year = "1960", bibdate = "Mon Nov 10 12:12:52 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://www.vldb.org/dblp/db/conf/ifip/ifip1959.html", acknowledgement = ack-nhfb, remark = "Cited in \cite{Ercegovac:1973:REC} as work on shift-add algorithms for function computation.", } @InProceedings{Maehly:1960:RAT, author = "H. J. Maehly", editor = "????", booktitle = "Information Processing, Proceedings of the {International Conference on Information Processing, UNESCO, Paris, 15--20 June 1959}", title = "Rational approximations for transcendental functions", publisher = "UNESCO / R. Oldenbourg / Butterworths", address = "Paris, France / Munich, West Germany / London, UK", pages = "57--62", year = "1960", bibdate = "Mon Nov 10 12:12:52 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://www.vldb.org/dblp/db/conf/ifip/ifip1959.html", acknowledgement = ack-nhfb, } @TechReport{ASG:1962:TDF, author = "{Advanced Systems Group}", title = "Technical Description of Fix-taking Tie-in Equipment", type = "Report", number = "FZE-052", institution = "General Dynamics Aerosystems", address = "????", day = "6", month = aug, year = "1962", bibdate = "Tue Oct 28 09:28:52 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "This report records the successful passing of tests by the CORDIC-II navigation computer, the second hardware implementation for ground and aircraft use of the CORDIC algorithm \cite{Volder:1959:CCT,Volder:1959:CTC}.", acknowledgement = ack-nhfb, keywords = "aircraft navigation; CORDIC (COordinate Rotation DIgital Computer); CORDIC-I navigation computer; CORDIC-II navigation computer", } @Article{Meggitt:1962:PDP, author = "J. E. Meggitt", title = "Pseudo Division and Pseudo Multiplication Processes", journal = j-IBM-JRD, volume = "6", number = "2", pages = "210--226", month = apr, year = "1962", CODEN = "IBMJAE", DOI = "https://doi.org/10.1147/rd.62.0210", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Thu Sep 1 10:15:31 1994", bibsource = "http://www.research.ibm.com/journal/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ibmjrd.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5392356", ZMnumber = "201.48709", acknowledgement = ack-nhfb, ajournal = "IBM J. Res. Develop.", book-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", fjournal = "IBM Journal of Research and Development", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", keywords = "binary arithmetic; decimal arithmetic; divide; exponential; inverse square root; inverse tangent; logarithm; multiply; square root; tangent", remark = "This paper shows how common digit-at-a-time hardware circuitry can be used to compute several different functions, with the only difference among the functions being initial conditions and stored tables of particular constants, with an error than does not exceed 3 units in the lowest-order decimal digit of the result (assuming base-10 arithmetic). The steps are similar to those in CORDIC algorithms. If M is the time for one multiplication, then other functions are found in these times: cosine (7M), division (3M?), exponential (3M), inverse tangent (3M), logarithm (3M), sine (7M), square root (3M?), and tangent (4M). For $n$-digit numbers, the calculation requires two registers, one of length $ n + 2 $ digits, and the other of length $ 2 n + 2 $ digits.", } @TechReport{Senzig:1962:DDG, author = "D. N. Senzig", title = "Digit-By-Digit Generation of the Trigonometric and Hyperbolic Functions", type = "IBM Research Report", number = "RC-860", institution = pub-IBM, address = pub-IBM:adr, day = "17", month = dec, year = "1962", bibdate = "Mon Nov 10 10:33:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, } @Article{Sideus:1965:INB, author = "G. Sideus", title = "Inertial Navigation at a Bargain Price", journal = "Electronics", volume = "??", number = "??", pages = "108--112", day = "17", month = may, year = "1965", DOI = "", bibdate = "Tue Nov 11 20:35:25 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Electronics", keywords = "CORDIC algorithms", } @Article{Parini:1966:DGA, author = "J. M. Parini", title = "{Divic} Gives Answer to Complex Navigation Question", journal = "Electronics", volume = "??", number = "??", pages = "105--111", day = "5", month = sep, year = "1966", DOI = "", bibdate = "Tue Nov 11 20:37:39 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Electronics", keywords = "CORDIC algorithms", } @MastersThesis{Liccardo:1968:IPE, author = "M. A. Liccardo", title = "An Interconnect Processor with Emphasis on {CORDIC} Mode", type = "{Masters} thesis", school = "Electrical Engineering Department, University of California at Berkeley", address = "Berkeley, CA, USA", year = "1968", bibdate = "Wed Oct 29 05:55:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @PhdThesis{Tung:1968:CAF, author = "Chin Tung", title = "A Combinational Arithmetic Function Generation System", type = "{Ph.D.} thesis", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "230", year = "1968", bibdate = "Mon Nov 10 13:18:11 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://www.proquest.com/pqdtglobal/docview/302294704", acknowledgement = ack-nhfb, remark = "Text not available online.", } @Article{Linhardt:1969:DDT, author = "R. J. Linhardt and H. S. Miller", title = "Digit-by-Digit Transcendental-Function Computation", journal = j-RCA-REV, volume = "30", number = "2", pages = "209--247", month = jun, year = "1969", CODEN = "RCARCI", ISSN = "0033-6831", bibdate = "Fri Sep 16 10:31:06 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://www.worldradiohistory.com/ARCHIVE-RCA/RCA-Review/RCA-Review-1969-06.pdf", acknowledgement = ack-nj # " and " # ack-nhfb, ajournal = "RCA Rev.", fjournal = "RCA Review", journal-URL = "https://www.worldradiohistory.com/ARCHIVE-RCA/RCA_Review_Issue_Key.htm", } @TechReport{DeLugish:1970:CAAa, author = "Bruce Gene {De Lugish}", title = "A Class of Algorithms for Automatic Evaluation of Certain Elementary Functions in a Binary Computer", number = "399", institution = "Department of Computer Science, University of Illinois at Urbana-Champaign", address = "Urbana, Illinois", pages = "191", year = "1970", bibdate = "Mon May 19 13:30:58 1997", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/Uiuc.Tr.bib.gz; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, } @PhdThesis{DeLugish:1970:CAAb, author = "Bruce Gene {De Lugish}", title = "A Class of Algorithms for Automatic Evaluation of Certain Elementary Functions in a Binary Computer", type = "{Ph.D.} thesis", school = "Department of Electrical Engineering, University of Illinois at Urbana--Champaign", address = "Urbana, IL, USA", pages = "ix + 244", month = jun, year = "1970", bibdate = "Mon Nov 10 10:24:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://www.proquest.com/pqdtglobal/docview/302409094/", acknowledgement = ack-nhfb, advisor = "James E. Robertson", } @InProceedings{Walther:1971:UAE, author = "J. S. Walther", title = "A unified algorithm for elementary functions", crossref = "Macon:1971:SJC", pages = "379--385", year = "1971", DOI = "https://doi.org/10.1145/1478786.1478840", bibdate = "Thu Sep 1 10:15:31 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite{Walther:1972:UAE,Hwang:1979:CAP}.", abstract = "This paper describes a single unified algorithm for the calculation of elementary functions including multiplication, division, sin, cos, tan, arctan, sinh, cosh, tanh, arctanh, ln, exp and square-root. The basis for the algorithm is coordinate rotation in a linear, circular, or hyperbolic coordinate system depending on which function is to be calculated. The only operations required are shifting, adding, subtracting and the recall of prestored constants. The limited domain of convergence of the algorithm is calculated, leading to a discussion of the modifications required to extend the domain for floating-point calculations", acknowledgement = ack-nj, } @Article{Cochran:1972:AAH, author = "D. S. Cochran", title = "Algorithms and accuracy in the {HP-35}", journal = j-HEWLETT-PACKARD-J, volume = "23", number = "10", pages = "10--11", month = jun, year = "1972", CODEN = "HPJOAX", ISSN = "0018-1153", bibdate = "Wed Mar 25 16:47:32 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/hpj.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://www.hp.com/hpj/72jun/ju72a2.htm; https://www.keesvandersanden.nl/calculators/hp_journals/HP_Journal_7206_Algorithms_and_Accuracy_in_the_HP-35.pdf", acknowledgement = ack-nhfb, classcodes = "C5420 (Mainframes and minicomputers)", fjournal = "Hewlett-Packard Journal: technical information from the laboratories of Hewlett-Packard Company", keywords = "accuracy; CORDIC algorithms. electronic calculator; minicomputers; resolution; sine algorithm", treatment = "P Practical", } @Article{Fettweis:1972:PSS, author = "Alfred Fettweis", title = "Pseudo-passivity, sensitivity, and stability of wave digital filter", journal = j-IEEE-TRANS-CIRCUIT-THEORY, volume = "19", number = "6", pages = "668--673", month = nov, year = "1972", CODEN = "IECTAF", DOI = "https://doi.org/10.1109/TCT.1972.1083555", ISSN = "0018-9324", bibdate = "Wed Oct 29 11:32:06 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/1083555", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuit Theory", } @InCollection{Walther:1972:UAE, author = "J. S. Walther", title = "A Unified Algorithm for Elementary Functions", crossref = "Petrocelli:1972:BCP", pages = "69--81", year = "1972", bibdate = "Wed Oct 29 06:02:29 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprint of \cite{Walther:1971:UAE}.", acknowledgement = ack-nhfb, } @Article{Baker:1973:PAS, author = "P. W. Baker", title = "Predictive algorithms for some elementary functions in radix 2", journal = j-ELECT-LETTERS, volume = "9", number = "21", pages = "493--494", month = oct, year = "1973", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el:19730363", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", MRclass = "68A10", MRnumber = "57 \#18203", bibdate = "Sat Jan 11 17:44:01 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220; https://digital-library.theiet.org/journal/el", } @Article{Ercegovac:1973:REC, author = "Milo{\v{s}} D. Ercegovac", title = "Radix-16 Evaluation of Certain Elementary Functions", journal = j-IEEE-TRANS-COMPUT, volume = "C-22", number = "6", pages = "561--566", month = jun, year = "1973", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1973.5009107", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Thu Sep 1 10:15:39 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "http://www.acsel-lab.com/arithmetic/arith2/papers/ARITH2_Ercegovac.pdf; https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009107", acknowledgement = ack-nj # " and " # ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "ARITH-2", } @Book{Oppenheim:1973:DSP, author = "Alan V. Oppenheim and Ronald W. Schafer", title = "Digital Signal Processing", publisher = pub-PH, address = pub-PH:adr, pages = "xiv + 585", year = "1973", ISBN = "0-13-214635-5", ISBN-13 = "978-0-13-214635-7", LCCN = "Q4C/Q4.4/495; TK5102.5 .O245", bibdate = "Wed Oct 29 12:55:42 MDT 2025", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/cordic.bib", abstract = "Covers the analysis and representation of discrete-time signals and systems, including discrete-time convolution, difference equations, the z-transform, and the discrete-time Fourier transform. Emphasis is placed on the similarities and distinctions between discrete-time and continuous-time signals and systems. Also covers digital network structures for implementation for both recursive (infinite impulse response) and nonrecursive (finite impulse response) digital filters with four videocassettes devoted to digital filter design for recursive and nonrecursive filters. Concludes with a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.", acknowledgement = ack-nhfb, author-dates = "1937--", shorttableofcontents = "Introduction \\ Discrete-time signals and systems \\ The z-Transform \\ The discrete Fourier transform \\ Flow graph and matrix representation of digital filters \\ Digital filter design techniques \\ Computation of the discrete Fourier transform \\ Discrete Hilbert transforms \\ Discrete random signals \\ Effects of finite register length in digital signal processing \\ Homomorphic signal processing \\ Power spectrum estimation", subject = "Signal theory (Telecommunication); Digital electronics; Th{\'e}orie du signal (T{\'e}l{\'e}communications); {\'E}lectronique num{\'e}rique; Digital electronics; Signal theory (Telecommunication)", tableofcontents = "1.01. Introduction \\ 1.02. Discrete-time signals and systems (1) \\ 1.03. Discrete-time signals and systems (2) \\ 1.04. The discrete-time Fourier transform \\ 1.05. Sampling, aliasing, and frequency response \\ 1.06. Demonstrations of sampling, aliasing, and frequency response \\ 1.07. The z-transform \\ 1.08. The inverse z-transform \\ 1.09. Z-transform properties \\ 1.10. The discrete Fourier series \\ 1.11. The discrete Fourier transform \\ 1.12. Circular convolution \\ 1.13. Representation of linear digital networks \\ 1.14. Network structures for infinite impulse response (IIR) digital filters{\"o}{\"o} \\ 1.15. Network structures for finite impulse response (FIR) digital filters and parameter-quantitization effects in digital filter structures \\ 1.16. Design of IIR digital filters (1) \\ 1.17. Design of IIR digital filters (2) \\ 1.18. Examples of IIR filter design \\ 1.19. Design of FIR digital filters \\ 1.20. Computation of the discrete Fourier transform (1) \\ 1.21. Computation of the discrete Fourier transform (2) \\ 1.22. Computation of the discrete Fourier transform (3)", } @Article{Pisarenko:1973:RHC, author = "V. F. Pisarenko", title = "The retrieval of harmonics from a covariance function", journal = "Geophys. J. Roy. Astronom. Soc.", volume = "33", number = "??", pages = "347--366", month = "????", year = "1973", DOI = "", bibdate = "Wed Oct 29 13:04:43 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Schmid:1973:UDC, author = "Hermann Schmid and A. Bogacki", title = "Use decimal {CORDIC} for generation of many transcendental functions", journal = "EDN Magazine", volume = "??", number = "??", pages = "64--73", day = "20", month = feb, year = "1973", DOI = "", bibdate = "Tue Nov 11 20:29:26 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, xxauthor = "Hermann Schmid and A. Bogocki", } @Misc{Walther:1973:EFP, author = "J. S. Walther", title = "Elementary Floating Point {CORDIC} Function Processor and Shifter", howpublished = "US Patent 3,766,370.", day = "16", month = oct, year = "1973", bibdate = "Wed Oct 29 05:59:20 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Filed 14 May 1971.", URL = "https://patentimages.storage.googleapis.com/30/7f/a0/1201036cf71cea/US3766370.pdf", acknowledgement = ack-nhfb, pagecount = "271", remark = "See the quotation in remark-3 in entry Walther:2000:SUC about the significance of this patent for the computing industry.", } @Article{Despain:1974:FTC, author = "Alvin M. Despain", title = "{Fourier} Transform Computers Using {CORDIC} Iterations", journal = j-IEEE-TRANS-COMPUT, volume = "C-23", number = "10", pages = "993--1001", month = oct, year = "1974", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/T-C.1974.223800", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "65T40 68Q45 42A38", bibdate = "Tue Jul 12 11:27:36 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672393", ZMnumber = "0287.65073", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Algorithms, array processor, computer arithmetic, CORDIC, discrete Fourier transform (DFT), fast Fourier transform (FFT), Fourier transform, function generation, real-time transform, vector rotation.", ZBmath = "3451421", } @Article{Hitotumatu:1974:CAT, author = "Sin Hitotumatu", title = "Complex arithmetic through {CORDIC}", journal = "K{\=o}dai Math. Semin Rep.", volume = "26", pages = "176--186", year = "1974/75", ISSN = "0023-2599", MRclass = "65E05", MRnumber = "413450", MRreviewer = "P. Brock", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://projecteuclid.org/euclid.kmj/1138846999", acknowledgement = ack-nhfb, fjournal = "K{\=o}odai Mathematical Seminar Reports", } @Article{Hitotumatu:1974:NMC, author = "Sin Hitotumatu", title = "A new method for the computation of square root, exponential, and logarithmic functions through hyperbolic {CORDIC}", journal = "Revue d'Analyse Num{\'e}rique et de la Th{\'e}orie de l'Approximation", volume = "3", number = "2", pages = "173--180", month = "????", year = "1974", ISSN = "0301-9241", MRclass = "65D20", MRnumber = "381249", MRreviewer = "L. Fox", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", ZMnumber = "0355.65009", acknowledgement = ack-nhfb, ajournal = "Rev. Anal. Num{\'e}r. Th{\'e}or. Approximation", fjournal = "Revue d'Analyse Num{\'e}rique et de la Th{\'e}orie de l'Approximation", keywords = "65D20", ZBmath = "3553625", } @Book{Schmid:1974:DC, author = "Hermann Schmid", title = "Decimal Computation", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xi + 266", year = "1974", ISBN = "0-471-76180-X", ISBN-13 = "978-0-471-76180-8", LCCN = "QA75 .S34", bibdate = "Wed Oct 29 08:20:50 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, remark = "Reprinted in \cite{Schmid:1983:DC}.", subject = "Binary-coded decimal system; Calculating-machines; computation; CORDIC algorithms", } @Article{Baker:1975:MER, author = "P. W. Baker", title = "More efficient radix-2 algorithms for some elementary functions", journal = j-IEEE-TRANS-COMPUT, volume = "C-24", number = "11", pages = "1049--1054", month = nov, year = "1975", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/T-C.1975.224132", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "68A10", MRnumber = "52 \#7193", MRreviewer = "I. Kaufmann", bibdate = "Tue Jul 12 07:57:58 MDT 2011", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672725", acknowledgement = ack-nhfb # "\slash " # ack-nj, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", } @Article{Baker:1975:PMA, author = "P. W. Baker", title = "Parallel Multiplicative Algorithms for Some Elementary Functions", journal = j-IEEE-TRANS-COMPUT, volume = "C-24", number = "3", pages = "322--325", month = mar, year = "1975", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/T-C.1975.224215", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Tue Jul 12 07:57:51 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1672808", abstract = "This correspondence presents generalized higher radix algorithms for some elementary functions which use fast parallel $m$-bit multipliers where $ \mathrm {radix} = 2^m $. These algorithms are extensions of those iterative schemes which are based on multiplications by $ (1 + 2^{-i}) $ and the use of prestored values of $ \ln (1 + 2^{-i}) $ and $ \tan^{-1}(2^{-i}) $. The particular functions under consideration are $ y / x $, $ y / x^{1 / 2} $, $ y \exp (x) $, $ y + \ln (x) $, $ \sin (x) $ and $ \cos (x) $ [and hence $ \tan (x) $ ]. The extended algorithms rely on multiplication by $ (1 + \mathrm {dir}^{-k}) $ where $ \mathrm {dir} $, $ 0 \leq \mathrm {dir} $, is an $m$-bit integer. Using a simple selection procedure for $ \mathrm {dir} $, simulations show that $p$ (radix $r$) digits of a function may be generated, on the average, in less than $ p + 1 $ iterations.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", received = "27 March 1973", remark = "The final paragraph says: ``In order to obtain an answer with $p$ correct digits in radix $ 2^m$, an extra $ \log_2 ((p + 1) m)$ guard digits ought to be used and $k$ should be taken to $ p + 2$ with the final result rounded to $p$ digits.'' That corresponds to 5 to 7 extra bits in the four IEEE 754 binary formats.", revised = "7 October 1974", } @PhdThesis{Burg:1975:MES, author = "J. P. Burg", title = "Maximum Entropy Spectral Analysis", type = "{Ph.D.} thesis", school = "Stanford University", address = "Stanford, CA, USA", year = "1975", bibdate = "Wed Oct 29 10:38:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Gray:1975:NDF, author = "A. H. {Gray, Jr.} and J. D. Markel", title = "A normalized digital filter structure", journal = j-IEEE-TRANS-ACOUST-SPEECH, volume = "23", number = "3", pages = "268--277", month = jun, year = "1975", CODEN = "IETABA", DOI = "", ISSN = "0096-3518", bibdate = "Wed Oct 29 11:53:21 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29", } @Article{Hitotumatu:1975:CAT, author = "Sin Hitotumatu", title = "Complex arithmetic through {CORDIC}", journal = "Kodai Mathematical Seminar Reports", number = "26", pages = "176--186", year = "1975", DOI = "https://doi.org/10.2996/kmj/1138846999", ISSN = "0023-2599", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0303.65012", acknowledgement = ack-nhfb, ajournal = "K{\=o}dai Math. Semin. Rep.", fjournal = "Kodai Mathematical Seminar Reports", keywords = "65D20,65G50,68W99", ZBmath = "3474829", } @MastersThesis{Lem:1975:ICF, author = "Albert G. Lem", title = "Implementation of a {CORDIC} Function Generator", type = "{M.S.E.} thesis", school = "California Polytechnic State University", address = "San Luis Obispo, CA, USA", pages = "74", year = "1975", ISBN-13 = "979-88-417-3800-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/implementation-cordic-function-generator/docview/2703960112/se-2", acknowledgement = ack-nhfb, advisor = "W. E. McMorran", keywords = "0405:Mathematics; 0537:Engineering; 0984:Computer science; Computer science; COordinate Rotation DIgital Computer; Engineering; Mathematics; Parallel digital computing; Trigonometric relationships", ris-m1 = "29425908", } @Article{Baker:1976:SFB, author = "P. W. Baker", title = "Suggestion for a fast binary sine\slash cosine generator", journal = j-IEEE-TRANS-COMPUT, volume = "C-25", number = "11", pages = "1134--1136", month = nov, year = "1976", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1976.1674566", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Tue Jul 12 06:24:55 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674566", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "$\cos(x)$; $\sin(x)$; elementary function", } @Book{Smith:1976:MER, author = "B. T. Smith and J. M. Boyle and J. J. Dongarra and B. S. Garbow and Y. Ikebe and V. C. Klema and C. B. Moler", title = "Matrix Eigensystem Routines: {EISPACK} Guide", volume = "6", publisher = pub-SV, address = pub-SV:adr, pages = "vii + 387", year = "1976", DOI = "https://doi.org/10.1007/978-3-540-38004-7", ISBN = "0-387-06710-8", ISBN-13 = "978-0-387-06710-0", LCCN = "QA193 .M37, QA267.A1 L43 no.6", bibdate = "Mon Dec 13 15:15:20 1993", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", series = "Lecture Notes in Computer Science, Editors: G. Goos and J. Hartmanis", URL = "http://link.springer.com/10.1007/3-540-07546-1", acknowledgement = ack-nhfb, subject = "EISPACK; EISPACK (Logiciel); Engineering and Applied Sciences; Computer Science, general", tableofcontents = "1: Introduction \\ 2: How to Use EISPACK \\ 3: Validation of EISPACK \\ 4: Execution Times for EISPACK \\ 5: Certification and Availability of EISPACK \\ 6: Differences Between the EISPACK Subroutines and the Handbook Algol Procedures \\ 7: Documentation and Source Listings", } @Article{Chen:1977:FCA, author = "W. H. Chen and C. H. Smith and S. C. Fralick", title = "A fast computational algorithm for the discrete cosine transform", journal = j-IEEE-TRANS-COMM, volume = "COM-25", number = "??", pages = "1004--1009", month = sep, year = "1977", CODEN = "IECMBT", DOI = "", ISSN = "0090-6778 (print), 1558-0857 (electronic)", ISSN-L = "0090-6778", bibdate = "Wed Oct 29 10:48:24 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Communications", } @Article{Ercegovac:1977:GHO, author = "Milo{\v{s}} D. Ercegovac", title = "A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer", journal = j-IEEE-TRANS-COMPUT, volume = "C-26", number = "7", pages = "667--680", month = jul, year = "1977", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1977.1674900", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Jul 11 21:56:56 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1674900", abstract = "A parallel computational method, amenable for efficient hardware-level implementation, is described. It provides a simple and fast algorithm for the evaluation of polynomials, certain rational functions and arithmetic expressions, solving a class of systems of linear equations, or performing the basic arithmetic operations in a fixed-point number representation system. The time required to perform the computation is of the order of $m$ carry-free addition operations, $m$ being the number of digits in the solution. In particular, the method is suitable for fast evaluation of mathematical functions in hardware.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Arithmetic expressions; digital computer arithmetic; E-method; evaluation of real-valued functions; fixed-point representation; hardware-level implementation; integral powers; linear systems; on-line algorithms; parallel computation; polynomials; rational functions; redundant number systems", } @Article{Nishimura:1977:ACH, author = "Kazuo Nishimura", title = "An algorithm to calculate {Hessenberg} matrix by {CORDIC}", journal = "Keio Math. Semin. Rep.", volume = "2", number = "2", pages = "61--65", year = "1977", ISSN = "0388-3469", MRclass = "65F15 (65F30) 65F30 15A21 65F3015-04", MRnumber = "474743", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0391.15008; 0361.65031", acknowledgement = ack-nhfb, fjournal = "Keio Mathematical Seminar Reports", ZBmath = "3562375; 3606596", } @Article{Paige:1977:LSE, author = "C. C. Paige and M. A. Saunders", title = "Least Squares Estimation of Discrete Linear Dynamic Systems Using Orthogonal Transformations", journal = j-SIAM-J-NUMER-ANAL, volume = "14", number = "2", pages = "180--193", month = apr, year = "1977", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, ajournal = "SIAM J. Numer. Anal.", fjournal = "SIAM Journal on Numerical Analysis", journal-URL = "http://epubs.siam.org/sinum", } @Article{Steer:1977:DHS, author = "Steer and Penstone", title = "Digital Hardware for Sine-Cosine Function", journal = j-IEEE-TRANS-COMPUT, volume = "C-26", number = "12", pages = "1283--1286", month = dec, year = "1977", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1977.1674791", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Cordic, function evaluation, peripheral processor, trigonometric functions (sine-cosine).; Floating-point arithmetic; Hardware; Iterative algorithms; Logic; Logic gates; Mathematical models; Microcomputers; Read only memory; Shift registers; Software", } @Article{Andrews:1978:PCA, author = "Michael Andrews and Daniel E. Eggerding", title = "A Pipelined Computer Architecture for Unified Elementary Function Evaluation", journal = j-COMPUT-ELECTR-ENG, volume = "5", number = "2", pages = "189--202", month = jun, year = "1978", CODEN = "CPEEBQ", DOI = "https://doi.org/10.1016/0045-7906(78)90030-7", ISSN = "0045-7906 (print), 1879-0755 (electronic)", ISSN-L = "0045-7906", bibdate = "Sat Oct 18 14:58:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://www.sciencedirect.com/science/article/abs/pii/0045790678900307", acknowledgement = ack-nhfb, fjournal = "Computers and Electrical Engineering", keywords = "arccos; arccosh; arccot; arcsin; arcsinh; CORDIC; cosine; Digital Arithmetic; exp(x); Iterative Algorithms; ln(x); Pipeline; sine; sqrt(x); Unified Elementary Functions; x**y; x/y", } @Article{Eschenbach:1978:ECR, author = "R. F. Eschenbach and B. M. Oliver", title = "An Efficient Coordinate Rotation Algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "C-27", number = "12", pages = "1178--1180", month = dec, year = "1978", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1978.1675020", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Jul 11 08:13:33 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1970.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1675020", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "rotation", } @Article{Kropa:1978:CA, author = "James C. Kropa", title = "Calculator Algorithms", journal = j-MATH-MAG, volume = "51", number = "2", pages = "106--109", month = mar, year = "1978", CODEN = "MAMGA8", DOI = "https://doi.org/10.1080/0025570x.1978.11976688", ISSN = "1930-0980", bibdate = "Tue Nov 11 14:54:28 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics Magazine", journal-URL = "http://www.maa.org/pubs/mathmag.html", keywords = "CORDIC algorithms", } @Article{Despain:1979:VFF, author = "Despain", title = "Very {Fast Fourier Transform} Algorithms Hardware for Implementation", journal = j-IEEE-TRANS-COMPUT, volume = "C-28", number = "5", pages = "333--341", month = may, year = "1979", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1979.1675363", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Arithmetic; CORDIC; Digital circuits; digital signal processing; Discrete Fourier transforms; Fast Fourier transforms; FFT; Fourier transform; Hardware; Mathematical models; parallel processors; pipeline processors; Pipelines; Program processors; Signal processing algorithms; vector rotation.; Vectors", } @Book{Dongarra:1979:LUG, author = "J. J. Dongarra and J. R. Bunch and C. B. Moler and G. W. Stewart", title = "{LINPACK} Users' Guide", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "320", year = "1979", DOI = "https://doi.org/10.1137/1.9781611971811", ISBN = "0-89871-172-X (paperback)", ISBN-13 = "978-0-89871-172-1 (paperback)", LCCN = "QA76.73 .L22 L5 1979; QA184 .L56 1982; QA214 .L56 1979", bibdate = "Mon Dec 13 15:18:20 1993", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib; https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/gnu.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", abstract = "The authors of this carefully structured guide are the principal developers of LINPACK, a unique package of Fortran subroutines for analyzing and solving various systems of simultaneous linear algebraic equations and linear least squares problems. This guide supports both the casual user of LINPACK who simply requires a library subroutine, and the specialist who wishes to modify or extend the code to handle special problems. It is also recommended for classroom work.", acknowledgement = ack-nhfb, GWS-number = "B2", keywords = "book, Cholesky decomposition, cond, downd, linpack, lud, lud, math, nla, qrd, qrd, soft, software, survey, svd, svd, upd, updating", subject = "LINPACK (Computer system); Equations, Simultaneous; Data processing; Matrices; Data processing; LINPACK (Computer system); LINPACK (Syst{\`e}me d'ordinateur); {\'E}quations simultan{\'e}es; Informatique", tableofcontents = "General matrices \\ Band matrices \\ Positive definite matrices \\ Positive definite band matrices \\ Symmetric indefinite matrices \\ Triangular matrices \\ Tridiagonal matrices \\ The Cholesky decomposition \\ The $QR$ decomposition \\ Updating $QR$ and Cholesky decompositions \\ The singular value decomposition \\ References \\ Basic linear algebra subprograms \\ Timing data \\ Program listings \\ BLA listings", xxauthor = "J. J. Dongarra and C. B. Moler and J. R. Bunch and G. W. Stewart", } @Article{Friedlander:1979:ELC, author = "B. Friedlander and T. Kailath and M. Morf and L. Ljung", title = "Extended {Levinson} and {Chandrasekhar} equations for general discrete time linear estimation problems", journal = j-IEEE-TRANS-AUTOMAT-CONTR, volume = "C-23", number = "4", pages = "653--659", month = aug, year = "1979", CODEN = "IETAA9", DOI = "", ISSN = "0018-9286 (print), 1558-2523 (electronic)", ISSN-L = "0018-9286", bibdate = "Wed Oct 29 11:40:12 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Automatic Control", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9", } @Book{Hwang:1979:CAP, author = "Kai Hwang", title = "Computer Arithmetic: Principles, Architecture, and Design", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xiii + 423", year = "1979", ISBN = "0-471-03496-7", ISBN-13 = "978-0-471-03496-4", LCCN = "TK7888.3 .H9", bibdate = "Sat May 18 14:15:19 2002", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Includes reprint of \cite{Walther:1971:UAE}.", acknowledgement = ack-nj, keywords = "addition; CORDIC; division; elementary functions; exponential; floating-point arithmetic; interval arithmetic; logarithm; multiplication; number systems; redundant number systems; residue number systems; shift-and-add algorithms; square root; survey on computer arithmetic; trigonometric functions", } @Article{Kailath:1979:DRM, author = "T. Kailath and S. Y. Kung and M. Morf", title = "Displacement ranks of matrices and linear equations", journal = j-J-MATH-ANAL-APPL, volume = "68", number = "2", pages = "395--407", month = "????", year = "1979", CODEN = "JMANAK", DOI = "", ISSN = "0022-247X (print), 1096-0813 (electronic)", ISSN-L = "0022-247X", bibdate = "Wed Oct 29 11:38:19 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, ajournal = "J. Math. Anal. Appl.", fjournal = "Journal of Mathematical Analysis and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/0022247X", } @Article{Nishimura:1979:MSL, author = "Kazuo Nishimura", title = "A method to solve linear equation by {CORDIC}", journal = "Keio Math. Semin. Rep.", volume = "4", pages = "61--67", year = "1979", ISSN = "0388-3469", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0403.65008", acknowledgement = ack-nhfb, fjournal = "Keio Mathematical Seminar Reports", keywords = "65F05,15A23", ZBmath = "3626501", } @InProceedings{Schmidt:1979:MEL, author = "R. Schmidt", editor = "????", booktitle = "{Proceedings of the RADC Spectral Estimation Workshop, Rome, NY, 1979}", title = "Multiple emitter locations and signal parameter estimation", publisher = "????", address = "????", pages = "243--258", year = "1979", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 13:15:39 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Haviland:1980:CAPa, author = "Gene L. Haviland and Al A. Tuszynski", title = "A {CORDIC} Arithmetic Processor Chip", journal = j-IEEE-TRANS-COMPUT, volume = "C-29", number = "2", pages = "68--79", month = feb, year = "1980", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1980.1675529", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb # " and " # ack-nj, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", } @Article{Haviland:1980:CAPb, author = "G. L. Haviland and A. A. Tuszynski", title = "A {CORDIC} Arithmetic Processor Chip", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "15", number = "1", pages = "4--15", month = feb, year = "1980", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/JSSC.1980.1051332", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Solid-State Circuits", keywords = "Application software; Arithmetic; CMOS technology; Cost function; Equations; Hardware; Instruments; Mathematics; Navigation; Read only memory", xxvolume = "SC-15", } @Article{Kalman:1980:NAL, author = "R. E. Kalman", title = "A new approach to linear filtering and prediction problems", journal = "J. of Basic Engineering", volume = "82D", number = "??", pages = "34--45", month = mar, year = "1980", DOI = "", bibdate = "Wed Oct 29 11:42:41 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Nave:1980:NDP, author = "Rafi Nave and John F. Palmer", title = "A numeric data processor", crossref = "IEEE:1980:IIS", pages = "108--109", year = "1980", DOI = "https://doi.org/10.1109/ISSCC.1980.1156144e", bibdate = "Wed Sep 07 22:22:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://ieeexplore.ieee.org/document/1156144", acknowledgement = ack-nj, keywords = "CORDIC algorithms; Intel 8086; Intel 8087; Intel 8088", remark = "From the first page: ``This functionality is implemented in HMOS on a single chip larger than 280 mils square containing the equivalent of over 65,000 devices. The internal evaluation stack requires more than 700 bits of RAM and the microcode (including constants) utilizes over 30,000 bits of ROM. This amount of microcode was made possible by a four-state ROM in HMOS. \ldots{} Performance was also enhanced by a fast shifter (0 to 63 places in one clock), special hardware for counting leading zeros and a hardware module to implement the various rounding modes specified in the proposed standard. \ldots{} The transcendental functions are all computed with an error of less than 3 units in the last place of Temporary Real (80b[its]).''", } @InProceedings{Palmer:1980:IND, author = "J. Palmer", title = "The {Intel} 8087 Numeric Data Processor", crossref = "Anonymous:1980:CPA", pages = "174--181", year = "1980", bibdate = "Mon Sep 12 08:30:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } @InProceedings{Ahmed:1981:SCS, author = "H. M. Ahmed and M. Morf", editor = "????", booktitle = "Proceedings of the First International Conference on {VLSI}, Edinburgh, Scotland, August 18--21, 1981", title = "Synthesis and control of signal processing architectures based on rotations", publisher = "????", address = "????", pages = "??--??", year = "1981", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:21:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Ahmed:1981:VSA, author = "H. M. Ahmed and M. Morf and D. T. L. Lee and P. H. Ang", editor = "????", booktitle = "{Proceedings of 1981 ICASSP. Atlanta. GA, 1981}", title = "A {VLSI} speech analysis chip set based on square-root normalized ladder forms", publisher = "????", address = "????", pages = "648--653", year = "1981", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:23:36 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Gentleman:1981:MTS, author = "W. M. Gentleman and H. T. Kung", editor = "????", booktitle = "{Proceedings of SPIE}", title = "Matrix triangularization by systolic array", volume = "298 (Real-time signal processing IV)", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "19--26", year = "1981", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:50:40 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Ahmed:1982:HCC, author = "Hassan M. Ahmed and Jean-Marc Delosme and Martin Morf", title = "Highly Concurrent Computing Structures for Matrix Arithmetic and Signal Processing", journal = j-COMPUTER, volume = "15", number = "1", pages = "65--82", month = jan, year = "1982", CODEN = "CPTRB4", DOI = "https://doi.org/10.1109/MC.1982.1653828", ISSN = "0018-9162 (print), 1558-0814 (electronic)", ISSN-L = "0018-9162", bibsource = "https://www.math.utah.edu/pub/tex/bib/computer1980.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; Parallel/Multi.bib", fjournal = "Computer", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2", } @PhdThesis{Ahmed:1982:SPA, author = "H. M. Ahmed", title = "Signal Processing Algorithms and Architectures", type = "{Ph.D.} thesis", school = "Stanford University", address = "Stanford, CA, USA", year = "1982", bibdate = "Tue Oct 28 06:26:27 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Andrews:1982:MMS, author = "M. Andrews", title = "Mathematical Microprocessor Software: a $ \sqrt {x} $ Comparison", journal = j-IEEE-MICRO, volume = "2", number = "3", pages = "63--79", month = aug, year = "1982", CODEN = "IEMIDZ", DOI = "https://doi.org/10.1109/MM.1982.290970", ISSN = "0272-1732 (print), 1937-4143 (electronic)", ISSN-L = "0272-1732", bibdate = "Thu Dec 14 06:08:58 MST 2000", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeemicro.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nj # " and " # ack-nhfb, ajournal = "IEEE Micro", classcodes = "C4130 (Interpolation and function approximation); C6150G (Diagnostic, testing, debugging and evaluating systems)", corpsource = "Colorado State Univ., Fort Collins, CO, USA", fjournal = "IEEE Micro", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=40", keywords = "16-bit machines; 8-bit machine; accuracy; Chen method; computer testing; Cordic method; direct method; function approximation; hardware; Intel 8080; Newton method; PDP-11/20; software requirements; speed; square-roots", remark = "This article compares instruction-level implementation on the Intel 8080 and DEC PDP-11/20 of the square root using five methods: direct, CORDIC, Chen's, and two variations of Newton's iteration. The concluding paragraph says: ``The conclusions are fairly obvious: Even with the availability of hardware features most suitable to any of the other methods, Newton's method remains the technique of choice. Although the advent of hardware multiple-bit-shift instructions will alter this comparison somewhat, Newton's method, with optimal initialization, will again prove to be the best when hardware multiply\slash divide becomes generally available.''", treatment = "T Theoretical or Mathematical", } @Article{Friedlander:1982:LFA, author = "B. Friedlander", title = "Lattice filtering for adaptive signal processing", journal = j-PROC-IEEE, volume = "70", number = "8", pages = "829--867", month = aug, year = "1982", CODEN = "IEEPAD", DOI = "", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Wed Oct 29 11:44:22 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, ajournal = "Proc. IEEE", fjournal = "Proceedings of the IEEE", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", } @InProceedings{Heller:1982:SNO, author = "D. Heller and I. Ipsen", booktitle = "{Proceedings of the Conference on Advanced Research in VLSI}", title = "Systolic Network for Orthogonal Equivalence Transformations and Their Application", publisher = pub-MIT, address = pub-MIT:adr, pages = "113--122", year = "1982", bibdate = "Wed Aug 24 10:36:23 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/i/ipsen-ilse-c-f.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Ipsen, Ilse/0000-0001-5645-5854", SCOPUS-author-ID = "Ipsen, Ilse/6603710519", } @InProceedings{Kung:1982:TAM, author = "S. Y. Kung", editor = "????", booktitle = "Proceedings of the International Symposium on Mathematical Theory. Network Systems. Santa Monica, {CA}, August 1981", title = "A {Toeplitz} approximation method and some applications", publisher = "????", address = "????", pages = "262--266", year = "1982", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:45:55 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Kung:1982:WSA, author = "H. T. Kung", title = "Why Systolic Architectures?", journal = j-COMPUTER, volume = "15", number = "1", pages = "37--46", month = jan, year = "1982", CODEN = "CPTRB4", ISSN = "0018-9162 (print), 1558-0814 (electronic)", ISSN-L = "0018-9162", bibsource = "https://www.math.utah.edu/pub/tex/bib/computer1980.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; Parallel/par.misc.bib", annote = "Systolic architectures, which permit multiple computations for each memory access, can speed execution of compute-bound problems without increasing I/O requirements. reconfigured to suit new computational structures; however, this capability places new demands on efficient architecture use. Note: Kung also has a machine readable bibliography in Scribe format which is also distributed with the MP biblio on tape, best to request from Kung on the CMU `sam' machine. Reproduced in Dharma P. Agrawal's (ed.) ``Advanced Computer Architecture,'' IEEE, 1986, pp. 300-309. In order to achieve the simplicity and density needed for effective VLSI design, Kung's strategy is to optimize processor number, interconnection topology and I/O structures for particular points in his space of parallel algorithms. He defines a family of systolic designs for computing various forms of the convolution computation. This is a family of computations each member of which generates a sequence of values formed by taking a sum of products of values of corresponding elements in two other sequences, according to some indexing scheme. In this paper Kung also gives examples of some of the ways the movement of data could be organized: (1) Should vector elements be pre-loaded into Processing Elements (PEs)? (2) Which way should data move? Note that this is a two dimensional pipelining strategy, so that the choice of data flow direction has much more freedom than with simple linear pipelines. Some of the organizations that Kung uses are: square, hexagonal, and triangular arrays. Among these schemes, the relative direction of data flow of the two input vectors is another design parameter. (3) Should information be broadcasted or shifted through the network? (4) Which vectors should shift through the PEs? Which should remain stationary in the PEs? Should vector entries come in a temporally interleaved fashion, and if so, at what relative rates? Each member of this family of architectures has a particular interprocessor communication structure that matches the flow of data required by the underlying algorithms. It is a wise choice to match this flow with particular algorithms in mind; previous attempts at multiprocessor parallelism have met with the problem of interprocessor communication being a bottleneck. There are many considerations in choosing the design parameters of a systolic architecture. Probably the major factor is that it is highly desirable to match the speed of processing to the available I/O bandwidth. One way to accomplish this goal is to make multiple use of each input data item. This is done by either using broadcasting with unlimited fan-in or by re-using each value of a vector at each stage of a pipeline. Since it is usually not possible to accurately estimate available I/O bandwidth in a complex system, the hope is to make the system modular to allow for adjustments to this ratio. A surprising number of applications have been found where systolic algorithms and architectures lead to effective, highly parallel computing systems. Among these are applications in signal and image processing, matrix arithmetic, and non-numeric applications.", fjournal = "Computer", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2", keywords = "Rhighnam, analysis, architecture, j-lb, grecommended91, multiprocessors, parallel processing, systolic arrays, VLSI, bmiya", } @InProceedings{Lee:1982:GCD, author = "D. Lee and M. Morf", editor = "????", booktitle = "{ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Generalized {CORDIC} for digital signal processing", volume = "7", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1748--1751", year = "1982", DOI = "https://doi.org/10.1109/ICASSP.1982.1171404", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Contracts; Digital signal processing; Information systems; Iterative algorithms; Laboratories; Process control; Signal processing; Signal processing algorithms; Very large scale integration", } @Article{Bracewell:1983:DHT, author = "R. N. Bracewell", title = "{Discrete Hartley Transform}", journal = j-J-OPT-SOC-AM, volume = "73", number = "12", pages = "1832--1835", month = dec, year = "1983", CODEN = "JOSAAH", ISSN = "0030-3941", bibdate = "Wed Oct 29 10:28:17 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://opg.optica.org/view_article.cfm?pdfKey=3525ca6f-bf7d-49c1-a39b962c2419210f_84262", acknowledgement = ack-nhfb, fjournal = "Journal of the Optical Society of America", journal-URL = "http://www.osapublishing.org/josa/browse.cfm", } @InProceedings{Delosme:1983:VIR, author = "Jean-Marc Delosme", editor = "????", booktitle = "{ICASSP Proceedings of International Conference on Acoustics, Speech and Signal Processing, Boston, MA, 14--16 April 1983}", title = "{VLSI} implementation of rotations in pseudo-{Euclidean} spaces", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "927--930", year = "1983", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:56:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Deprettere:1983:SFP, author = "Ed. F. Deprettere", editor = "????", booktitle = "{IEEE International Conference on ASSP. Boston, MA, Vol. I, 1983}", title = "Synthesis and fixed point implementation of pipelined true orthogonal filters", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "217--220", year = "1983", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:08:56 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Hanrot:1983:MOD, author = "D. Hanrot and C. T. Mulles", editor = "????", booktitle = "{Proceedings of ICASSPBJ, Boston, MA, 1983}", title = "A modular and orthogonal digital filter structure for parallel processing", publisher = "????", address = "????", pages = "623--626", year = "1983", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:55:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "TO DO: Check spelling on second author name", } @Article{Kung:1983:HCA, author = "S. Y. Kung and Yu Hen Hu", title = "A highly concurrent algorithm and pipelined architecture for solving {Toeplitz} systems", journal = j-IEEE-TRANS-ACOUST-SPEECH, volume = "31(I)", pages = "66--76", month = feb, year = "1983", CODEN = "IETABA", DOI = "", ISSN = "0096-3518", bibdate = "Wed Oct 29 11:58:02 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29", } @InProceedings{McWhirter:1983:RLS, author = "J. G. McWhirter", editor = "????", booktitle = "{Proceedings SPIE 431, Real Time Signal Processing VI, 1983}", title = "Recursive least squares minimization using asystolic array", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "105--112", year = "1983", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 12:03:01 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Nave:1983:ITF, author = "R. Nave", title = "Implementation of Transcendental Functions on a Numerics Processor", journal = j-MICROPROC-MICROPROG, volume = "11", number = "3--4", pages = "221--225", month = mar # "--" # apr, year = "1983", CODEN = "MMICDT", DOI = "https://doi.org/10.1016/0165-6074(83)90151-5", ISSN = "0165-6074 (print), 1878-7061 (electronic)", ISSN-L = "0165-6074", bibdate = "Fri Dec 08 13:05:28 1995", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://ieeemilestones.ethw.org/w/images/8/8b/Nave_implenent_transcendental_algos_1983.pdf; https://www.sciencedirect.com/science/article/pii/0165607483901515", acknowledgement = ack-nj, fjournal = "Microprocessing and Microprogramming", journal-URL = "https://www.sciencedirect.com/journal/microprocessing-and-microprogramming/issues", } @Article{Schelin:1983:CFA, author = "Charles W. Schelin", title = "Calculator function approximation", journal = j-AMER-MATH-MONTHLY, volume = "90", number = "5", pages = "317--325", month = may, year = "1983", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2975781", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65D15 (65-03 65-04)", MRnumber = "84h:65021", MRreviewer = "J. Albrycht", bibdate = "Wed Dec 3 17:17:33 MST 1997", bibsource = "http://www.jstor.org/journals/00029890.htm; https://www.math.utah.edu/pub/tex/bib/amermathmonthly1980.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://www.jstor.org/stable/2975781", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "https://www.jstor.org/journals/00029890.htm", keywords = "Computer Function Evaluation; CORDIC Scheme; tabular function values", } @Book{Schmid:1983:DC, author = "Hermann Schmid", title = "Decimal computation", publisher = "Robert E. Kreiger", address = "Malabar, FL, USA", pages = "xi + 266", year = "1983", ISBN = "0-89874-318-4", ISBN-13 = "978-0-89874-318-0", LCCN = "????", bibdate = "Wed Oct 29 08:18:10 MDT 2025", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, remark = "Reprint of \cite{Schmid:1974:DC}.", subject = "Binary-coded decimal system; Calculating-machines; computation; CORDIC algorithms", } @InProceedings{Udo:1983:IOO, author = "R. Udo and E. Deprettere and P. Dewilde", editor = "????", booktitle = "{IEEE EUSIPCO Proceedings of 2nd European Signal Processing, Erlangen, Germany. Sept. 1983}", title = "On the implementation of orthogonal and orthogonalizing algorithms using pipelined {CORDIC} architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "??--??", year = "1983", bibdate = "Wed Oct 29 13:20:38 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Volz:1983:CAA, author = "H. V{\"o}lz", title = "{CORDIC und {\"a}hnliche Algorithmen der elementaren Funktionen mit besonderer Eignung f{\"u}r Mikrorechner}. ({German}) [{CORDIC} and Similar Algorithms for Elementary Functions with Particular Aptitude for Microcomputers]", journal = j-NACH-ELEK, volume = "33", number = "12", pages = "506--510", month = "????", year = "1983", CODEN = "NTELAP", ISSN = "0323-4657", bibdate = "Fri Sep 16 16:30:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Nachrichtentechnik Elektronik", language = "German", } @InProceedings{Abruzzo:1984:ACA, author = "J. Abruzzo", title = "Applicability of {CORDIC} Algorithm to Arithmetic Processing", crossref = "Kirk:1984:CRE", pages = "79--86", year = "1984", bibdate = "Thu Sep 01 11:21:05 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, } @InProceedings{Abuzzo:1984:ACA, author = "J. Abuzzo", editor = "????", booktitle = "{IEEE Eighteenth Asilomar Conf. on Circuits, Systems and Computers, Pacific Grove, CA, USA, November 5--7, 1984}", title = "Applicability of {CORDIC} algorithm to arithmetic processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "79--86", year = "1984", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:19:20 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Deprettere:1984:PCA, author = "E. Deprettere and P. Dewilde and R. Udo", booktitle = "{ICASSP '84. IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Pipelined {CORDIC} architectures for fast {VLSI} filtering and array processing", volume = "9", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "250--253", year = "1984", DOI = "https://doi.org/10.1109/ICASSP.1984.1172772", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Array signal processing; Circuits; Computer architecture; Filtering; Paper technology; Pipeline processing; Signal processing algorithms; Vectors; Very large scale integration", xxpages = "41.A.6.1--41.A.6.4", } @InProceedings{Dewilde:1984:ODF, author = "P. Dewilde and E. F. Deprettere and C. V. K. Prabhakara Rao", editor = "????", booktitle = "{Proceedings ICASSP84, Vol. I., San Diego, CA. 1984}", title = "Orthogonal digital filters", publisher = "????", address = "????", pages = "230--233", year = "1984", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:23:22 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Lev-Ari:1984:LFP, author = "H. Lev-Ari and T. Kailath", title = "Lattice filter parameterizations and modeling of nonstationary process", journal = j-IEEE-TRANS-INF-THEORY, volume = "IT-30", number = "??", pages = "2--16", month = "????", year = "1984", CODEN = "IETTAW", DOI = "", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", bibdate = "Wed Oct 29 12:01:22 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", } @PhdThesis{Naseem:1984:IPC, author = "Asif Naseem", title = "Implementation of Parallel Computational Algorithms on a Modified {CORDIC} Arithmetic Logic Unit", type = "{Ph.D.} thesis", school = "Michigan State University", address = "East Lansing, MI, USA", pages = "137", year = "1984", ISBN-13 = "979-84-13-17501-9", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/implementation-parallel-computational-algorithms/docview/303294026/se-2", acknowledgement = ack-nhfb, keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "8503253", } @InProceedings{Naseem:1984:MCA, author = "Asif Naseem and P. David Fisher", editor = "????", booktitle = "Proceedings --- {IEEE International Conference on Computer Design: VLSI in Computers, ICCD '84, October 1984}", title = "Modified {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "144--152", year = "1984", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:31:59 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "Not found in IEEE Xplore database.", } @Article{Rao:1984:ODF, author = "S. K. Rao and T. Kailath", title = "Orthogonal digital filters for {VLSI} implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "31", number = "11", pages = "933--945", month = nov, year = "1984", DOI = "", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Wed Oct 29 13:08:47 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", } @InProceedings{Sibul:1984:ACR, author = "Leon H. Sibul and A. L. Fogelsanger", editor = "????", booktitle = "{Proceedings of IEEE International Symposium on Circuits and Systems, Montreal, Quebec, May 1984}", title = "Application of coordinate rotation algorithm to singular value decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "821--824", year = "1984", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 13:16:52 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Wold:1984:PPP, author = "Erling H. Wold and Alvin M. Despain", title = "Pipeline and Parallel-Pipeline {FFT} Processors for {VLSI} Implementations", journal = j-IEEE-TRANS-COMPUT, volume = "C-33", number = "5", pages = "414--426", month = may, year = "1984", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1984.1676458", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "CORDIC; Discrete Fourier transforms; fast Fourier transform; integrated circuits; parallel processors; Pins; pipeline processors; Pipelines; Program processors; Random access memory; Read only memory; Shift registers; signal processing; Signal processing algorithms; Transforms; Very large scale integration", } @Book{Ahmed:1985:AAU, author = "H. M. Ahmed", title = "Alternative arithmetic unit architectures for {VLSI} digital signal processors", publisher = "Prentice-Hall", address = "Englewood Cliffs, NJ, USA", pages = "", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:25:39 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Brent:1985:CSV, author = "R. P. Brent and F. T. Luk and C. F. Van Loan", title = "Computation of the singular value decomposition using mesh-connected processors", journal = j-J-VLSI-COMPUT-SYST, volume = "1", number = "3", pages = "242--270", month = "????", year = "1985", ISSN = "0733-5644", ISSN-L = "0733-5644", bibdate = "Sat Nov 01 07:06:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Comput. Syst.", fjournal = "Journal of VLSI and Computer Systems", remark = "The journal published only two volumes (1983--1986). No online archive has been found.", } @Article{Brent:1985:SSV, author = "Richard P. Brent and Franklin T. Luk", title = "The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "69--84", month = jan, year = "1985", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0906007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F15)", MRnumber = "86i:65089", MRreviewer = "Youcef Saad", bibdate = "Mon Mar 31 09:59:28 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See simplifications in \cite{Yang:1989:RCS}", acknowledgement = ack-nhfb, ajournal = "SIAM J. Sci. Statist. Comput.", classification = "C4140 (Linear algebra); C5220 (Computer architecture)", corpsource = "Centre for Math. Analysis, Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer architecture; eigenvalue decomposition; eigenvalues and eigenfunctions; linear array; matrix algebra; multiprocessor arrays; nearest-neighbour communication; parallel Jacobi-like algorithms; parallel processing; singular-value decomposition; square array; symmetric eigenvalue problems; symmetric matrix", onlinedate = "January 1985", treatment = "T Theoretical or Mathematical", } @InProceedings{Deprettere:1985:DHT, author = "Ed F. Deprettere and Kishan Jainandunsing", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, Kyoto, Japan. June 1985}", title = "Design of a High Throughput Architecture for the Regular Excitation Reduction Speech Coding Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1521--1524", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:34:37 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "Not found in IEEE Xplore database.", } @InProceedings{Deprettere:1985:DIC, author = "Ed F. Deprettere and Kishan Jainandunsing", editor = "????", booktitle = "Proceedings --- {ICASSP 85, Tampa, FL, March 1985}", title = "Design and Implementation of a Concurrent Solver for {$N$} Coupled Least-Squares Fitting Problem", publisher = "????", address = "????", pages = "200--203", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:36:04 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Dewilde:1985:PPV, author = "P. Dewilde and Ed. F. Deprettere and R. Nouta", editor = "S. Y. Kung and others", booktitle = "{VLSI} and Modern Signal Processing", title = "Parallel and pipelined {VLSI} Implementation of signal processing algorithms", publisher = pub-PH, address = pub-PH:adr, pages = "??--??", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:25:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @MastersThesis{Given:1985:VNI, author = "Raymond E. Given", title = "A {VLSI} {NMOS} Implementation of a Building Block Processor Using {CORDIC} Algorithms (Array Processor)", type = "{M.S.E.} thesis", school = "Florida Atlantic University", address = "Boca Raton, FL, USA", pages = "127", year = "1985", ISBN = "1-0835-9942-9", ISBN-13 = "978-1-0835-9942-1", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/vlsi-nmos-implementation-building-block-processor/docview/220053644/se-2", acknowledgement = ack-nhfb, keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "1325643", } @InProceedings{Hahn:1985:CRP, author = "Helmut Hahn and J. Buddefeld and Bedrich J. Hosticka and U. Kleine", editor = "????", booktitle = "Proceedings of the {1985 European Conference on Circuit Theory and Design, Prague, Czechoslovakia, September 1985}", title = "{CORDIC} Realization of Power-Wave Digital Filters", publisher = "????", address = "????", pages = "507--510", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:29:15 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Hu:1985:PCA, author = "Yu Hen Hu", editor = "????", booktitle = "{International Symposium VLSI Technology Systems, and Algorithms, Taipei, Taiwan, May 1985}", title = "Pipelined {CORDIC} architecture for the implementation of rotation-based algorithms", publisher = "????", address = "????", pages = "??--??", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:01:19 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Jou:1985:CIP, author = "I-Chang Jou and Tze-Yunn Sung and Yu-Hen Hu and Ttai-Ming Parng", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, Kyoto, Japan. June 1985}", title = "{CORDIC} implementation of pipelined {Toeplitz} system solver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "459--462", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:34:04 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Muller:1985:DBC, author = "Jean-Michel Muller", title = "Discrete Basis and Computation of Elementary Functions", journal = j-IEEE-TRANS-COMPUT, volume = "C-34", number = "9", pages = "857--862", month = sep, year = "1985", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1985.1676643", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "65D20 (65V05)", MRnumber = "87e:65016", MRreviewer = "D. Zwick", bibdate = "Sun Jul 10 08:33:33 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676643", abstract = "We give necessary and sufficient conditions in order that the infinite product or sum of the terms of a positive decreasing sequence generates the reals in a given interval.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Additives; Approximation algorithms; Computers; Convergence; CORDIC-like algorithms, hardware computation of elementary functions; Delays; Electrons; Hardware; Iterative methods; Logic gates; representation of real numbers by infinite series; Sufficient conditions", } @InProceedings{Naseem:1985:MCA, author = "Asif Naseem and P. David Fisher", title = "The Modified {CORDIC} Algorithm", crossref = "Hwang:1985:PSC", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "144--152", year = "1985", DOI = "https://doi.org/10.1109/ARITH.1985.6158966", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith7/papers/ARITH7_Naseem_Fisher.pdf", abstract = "A Modified CORDIC Algorithm (MCA) has been developed for the evaluation of elementary arithmetic functions. MCA incorporates increased parallelism over the original CORDIC algorithm, thus, resulting in an enhanced speed of computation. This has been accomplished by decoupling the CORDIC iteration equations, and transforming the sequential nature of these equations. $n$-bit fixed point data operands are assumed and the parameter $k$ relates to the level of parallelism in the algorithm. The modified algorithm employs a $ [k + 1]n^2 $-bit ROM for lookup tables that enable elementary arithmetic functions to be evaluated in no more than $ [3 n + 2] $ and no less than $2$ time steps. The two bounds correspond to a pipelined and a parallel implementation, respectively. The formulation of the MCA can be manipulated to obtain implementations with various speed\slash cost characteristics. This compares to $ n(3 n + 1) / 2 $ time steps for the original CORDIC algorithm. For example, 32-bit ALU has $ k = 12 $ and $ n = 32 $; so, a 13,312-bit ROM is required to store the lookup tables, and the computation requires 98 time steps for a pipelined implementation.", acknowledgement = ack-nhfb # " and " # ack-nj, keywords = "Algorithm design and analysis; ARITH-7; Equations; Parallel algorithms; Prediction algorithms; Timing; Vectors", } @InProceedings{Sung:1985:DPC, author = "Tze-Yun Sung Sung and Yu Hen Hu and H. J. Yu", editor = "????", booktitle = "{Proceedings of the Twenty-third Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL, October 1985}", title = "Doubly pipelined {CORDIC} array processor for solving {Toeplitz} systems", publisher = "????", address = "????", pages = "764--773", year = "1985", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 12:46:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @MastersThesis{Tran:1985:ECF, author = "Chau Quang Tran", title = "Evaluation of {CORDIC} in {FFT} algorithm with 16-bit microprocessors ({Fast Fourier Transform})", type = "{M.S.} thesis", school = "California State University, Long Beach", address = "Long Beach, CA, USA", pages = "145", year = "1985", ISBN-13 = "979-82-05-83141-3", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/evaluation-cordic-fft-algorithm-with-16-bit/docview/303402726/se-2", acknowledgement = ack-nhfb, keywords = "0607:Electromagnetics; Electromagnetics; Electromagnetism; Pure sciences", ris-m1 = "1327232", } @Article{Vaidyanathan:1985:UAO, author = "P. P. Vaidyanathan", title = "A unified approach to orthogonal digital filters and wave digital tilters based on the {LBR} two-pair extraction", journal = j-IEEE-TRANS-CIRCUITS-SYST, volume = "??", number = "??", pages = "673--686", month = jul, year = "1985", CODEN = "ICSYBT", DOI = "", ISSN = "0098-4094 (print), 1558-1276 (electronic)", ISSN-L = "0098-4094", bibdate = "Wed Oct 29 13:23:49 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems", } @Article{vanGinderdeuren:1985:CBH, author = "J. van Ginderdeuren and L. van Paepegem and J. Lecoco and R. Govaerts and F. Catthoor and P. Vandebroek and S. Slock and T. A. C. M. Claasen and H. de Man", title = "{CORDIC}-Based {HIFI} Digital {FM} Demodulator Algorithm for Compact {VLSI} Implementation", journal = j-ELECT-LETTERS, volume = "21", number = "??", pages = "1227--1229", month = "????", year = "1985", CODEN = "ELLEAK", DOI = "", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Nov 12 08:39:15 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", } @InProceedings{Baxter:1986:PTF, author = "Michael Baxter and Zwie Amitai", editor = "????", booktitle = "Midcon 86, Dallas, {TX}, September 1986, Pap. 17.2, 5p and Northcon 86, Seattle, {WA}, September 1986", title = "Parallel Transcendental-Function Processor Built from {LSI} Building Blocks", publisher = "????", address = "????", pages = "4.2.1--4.2.4", year = "1986", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:41:47 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Bu:1986:OSC, author = "J. Bu and E. F. A. Deprettere and F. De-Lange", editor = "????", booktitle = "{Proceedings of EUSIPCO-86 Signal Processing III, Theories and Applications. The Hague, Netherlands, 2--5 September, 1986}", title = "On the optimization of silicon {CORDIC} algorithm", publisher = "????", address = "????", pages = "1227--1230", year = "1986", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:35:17 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Curtis:1986:CPL, author = "T. W. Curtis and Paul Allison and James A. Howard", title = "A {CORDIC} Processor for Laser Trimming", journal = j-IEEE-MICRO, volume = "6", number = "3", pages = "61--71", month = may # "\slash " # jun, year = "1986", CODEN = "IEMIDZ", DOI = "https://doi.org/10.1109/MM.1986.304680", ISSN = "0272-1732 (print), 1937-4143 (electronic)", ISSN-L = "0272-1732", bibdate = "Thu Sep 08 00:48:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "IEEE Micro", journal-URL = "http://www.computer.org/csdl/mags/mi/index.html", keywords = "Computer errors; Computer interfaces; Control systems; Error correction; Laser beam cutting; Optical control; Weight control", } @InProceedings{Delosme:1986:MEA, author = "Jean-Marc Delosme", editor = "????", booktitle = "Proceedings of the {SPIE} Advanced Algorithms and Architectures for Signal Processing", title = "The matrix exponential approach to elementary operations", volume = "696", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "188--1995", year = "1986", bibdate = "Wed Oct 29 07:25:00 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Jou:1986:VAP, author = "I. C. Jou and Yu Hen Hu and T. M. Parng", editor = "????", booktitle = "{Proceedings of VLSI Algorithms and Architectures. Aegean Workshop on Computing, Loutraki, Greece, July 1986}", title = "{VLSI} algorithms and pipelined architectures for solving structured linear systems", publisher = "????", address = "????", pages = "??--??", year = "1986", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:36:42 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Quong:1986:FPI, author = "D. Quong", title = "Floating-Point {$ \mu $P} Implements High-Speed Math Functions", journal = "EDN Magazine", volume = "31", number = "??", pages = "143--150", month = "????", year = "1986", DOI = "", bibdate = "Wed Nov 12 08:53:42 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Schmidt:1986:POC, author = "G. Schmidt and Dirk Timmermann and J. F. B{\"o}hme and Helmut Hahn and Bedrich J. Hostica and G. Zimmer", editor = "????", booktitle = "{Proceedings of EUSIPCO-86 Signal Processing III, Theories and Applications. The Hague, Netherlands, 2--5 September, 1986}", title = "Parameter Optimization of the {CORDIC}-Algorithm and Implementation in a {CMOS}-Chip", publisher = "????", address = "????", pages = "1219--1222", year = "1986", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:56:02 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Sung:1986:DIV, author = "Tze-Yun Sung and Tai-Ming Parng and Yu-Hen Hu and Pin-Kuan Chou", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, San Jose, CA, May 1986}", title = "Design and implementation of a {VLSI CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "934--935", year = "1986", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 12:48:29 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Sung:1986:DPC, author = "Tze-Yun Sung and Yu-Hen Hu and H. J. Yu", booktitle = "{ICASSP '86. IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Doubly pipelined {CORDIC} array for digital signal processing algorithms", volume = "11", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1169--1172", year = "1986", DOI = "https://doi.org/10.1109/ICASSP.1986.1169138", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Digital signal processing; Discrete Fourier transforms; Fast Fourier transforms; Filters; Hardware; Lattices; Pipeline processing; Signal processing algorithms; Throughput; Very large scale integration", } @Article{Takagi:1986:HAC, author = "Naofumi Takagi and T. Asada and S. Yajima", title = "A Hardware Algorithm for Computing Sine and Cosine Using Redundant Binary Representation", journal = "Transactions IEEE Japan", volume = "J69-D", number = "??", pages = "841--847", month = "????", year = "1986", DOI = "", bibdate = "Wed Nov 12 08:59:45 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Cavallaro:1987:ACS, author = "Joseph R. Cavallaro and F. T. Luk", editor = "????", booktitle = "{Proceedings SPIE Int. Soc. Opt. Eng. (USA)}", title = "Architectures for a {CORDIC SVD} processor", volume = "698", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "45--53", year = "1987", DOI = "", bibdate = "Wed Oct 29 10:39:35 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Cavallaro:1987:CAS, author = "Joseph R. Cavallaro and Franklin T. Luk", title = "{CORDIC} Arithmetic for an {SVD} Processor", crossref = "Irwin:1987:PSC", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "113--120", year = "1987", DOI = "https://doi.org/10.1109/ARITH.1987.6158686", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Cavallaro_Luk.pdf", abstract = "Arithmetic issues in the calculation of the Singular Value Decomposition (SVD) are discussed. Traditional algorithms using hardware division and square root are replaced with the special purpose CORDIC algorithms for computing vector rotations and inverse tangents. The CORDIC $ 2 \times 2 $ SVD processor can be twice as fast as one assembled from traditional hardware units. A prototype VISI implementation of a CORDIC SVD processor array is planned for use in real-time signal processing applications.", acknowledgement = ack-nhfb, keywords = "ARITH-8; Computational modeling; Equations; Jacobian matrices; Mathematical model; Read only memory; Vectors; Yttrium", } @InProceedings{Cosnard:1987:FAC, author = "M. Cosnard and A. Guyot and B. Hochet and Jean-Michel Muller and H. Ouaouicha and P. Paul and E. Zysman", title = "The {FELIN} Arithmetic Coprocessor Chip", crossref = "Irwin:1987:PSC", pages = "107--112", month = may, year = "1987", DOI = "https://doi.org/10.1109/ARITH.1987.6158691", bibdate = "Wed Nov 14 18:22:26 2007", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith8/papers/ARITH8_Cosnard_Guyot_Hochet_Muller_Ouaouicha_Paul_Zysman.pdf", abstract = "We describe a general VLSI architecture for the computation of arithmetic expressions including floating-point transcendental functions. This architecture, is divided in three parts: a communication machine, the control part of a computation machine and the operative part of this computation machine. In order to compute the most usual transcendental functions, we introduced some general algorithms, presented briefly here, including as a particular case the CORDIC scheme. Our major architecture goals were regularity, parametrization and automatic design. The final chip is designed in a 2-Alu CMOS technology, and its name is FELIN (``Fonctions EL{\'e}mentaires INt{\'e}gr{\'e}es'' is the French for ``integrated elementary functions'').", acknowledgement = ack-nhfb, keywords = "ARITH-8", } @InProceedings{Deprettere:1987:OOM, author = "E. F. Deprettere and K. Jainandunsing", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, Philadelphia, PA, USA, 4--7 May 1987}", title = "Orthogonal and {$J$}-orthogonal matrix inversion techniques", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "143--146", year = "1987", DOI = "", ISBN = "", ISBN-13 = "", ISSN = "0271-4302", LCCN = "", bibdate = "Wed Oct 29 11:10:56 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Ercegovac:1987:FCR, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", title = "On-the-fly conversion of redundant into conventional representations", journal = j-IEEE-TRANS-COMPUT, volume = "C-36", number = "7", pages = "895--897", month = jul, year = "1987", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.1987.1676986", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Sat Jul 9 09:28:54 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1676986", acknowledgement = ack-sfo # " and " # ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", } @InProceedings{Ercegovac:1987:FCS, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", editor = "????", booktitle = "Proceedings of the 21st Asilomar Conference Signals, Systems, Computers", title = "Fast cosine\slash sine implementation using on-line {CORDIC}", publisher = "????", address = "????", pages = "222--226", year = "1987", bibdate = "Wed Oct 29 07:35:08 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @TechReport{Ercegovac:1987:RLC, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", title = "Redundant and On-Line {CORDIC}: Application to Matrix Triangularization and {SVD}", type = "Technical Report", number = "CSD-870046", institution = "Department of Computer Science, UCLA", address = "Los Angeles, CA, USA", year = "1987", bibdate = "Wed Nov 12 09:52:39 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Hu:1987:ODV, author = "Yu Hen Hu and T. Y. Sung", editor = "????", booktitle = "{Proceedings of the International Symposium on VLSI Technology, Systems and Applications, Taipei, Taiwan, R.O.C., May 1987}", title = "The Optimal Design of {VLSI CORDIC} processor", publisher = "????", address = "????", pages = "31--35", year = "1987", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:03:48 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Book{Kung:1987:VAP, author = "S. Y. Kung", title = "{VLSI} Array Processors", publisher = pub-PH, address = pub-PH:adr, pages = "????", year = "1987", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:49:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Lee:1987:MPC, author = "C. S. Lee and P. Chang", title = "A maximum pipelined {CORDIC} architecture for inverse kinematic position computation", journal = j-IEEE-J-ROBOTICS-AUTOMATION, volume = "3", number = "5", pages = "445--458", year = "1987", CODEN = "IJRAE4", DOI = "https://doi.org/10.1109/JRA.1987.1087126", ISSN = "0882-4967", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Robotics and Automation", keywords = "Computer architecture; Concurrent computing; Data flow computing; Delay; Equations; Manipulators; Parallel processing; Pipeline processing; Robot kinematics; Robotics and automation", } @InProceedings{Nudd:1987:CVP, author = "Graham R. Nudd and John G. Vaudin", editor = "????", booktitle = "{IEE Colloquium on VLSI for Image Processing, London, UK, April 1987}", title = "Cellular {VLSI} Processing Architecture Using {CORDIC} Elements for Image Processing", publisher = "????", address = "????", pages = "3.1--3.6", year = "1987", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 08:57:54 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Sung:1987:DPC, author = "Tze Yun Sung and Tai Ming Parng and Yu Hen Hu", title = "Doubly pipelined {CORDIC} array for digital signal processing algorithms", journal = j-J-CHINESE-INST-ENG, volume = "10", number = "4", pages = "375--383", month = jun, year = "1987", CODEN = "CKCKDZ", DOI = "https://doi.org/10.1080/02533839.1987.9676985", ISSN = "2158-7299", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan", } @Article{Sung:1987:HPV, author = "Tze Yun Sung and Tai Ming Parng and Yu Hen Hu", title = "High performance {VLSI} {CORDIC} algorithms, architecture and chip design", journal = j-J-CHINESE-INST-ENG, volume = "10", number = "5", pages = "493--502", month = jul, year = "1987", CODEN = "CKCKDZ", DOI = "https://doi.org/10.1080/02533839.1987.9677002", ISSN = "2158-7299", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan", } @Article{Sung:1987:PVI, author = "T. Y. Sung and Yu Hen Hu", title = "Parallel {VLSI} implementation of {Kalman} filter", journal = j-IEEE-TRANS-AEROSP-ELECTRON-SYST, volume = "AES 23", number = "2", pages = "215--224", month = mar, year = "1987", CODEN = "IEARAX", DOI = "", ISSN = "0018-9251 (print), 1557-9603 (electronic)", ISSN-L = "0018-9251", bibdate = "Wed Oct 29 13:01:59 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Aerospace and Electronic Systems", } @Article{Takagi:1987:HAC, author = "Naofumi Takagi and T. Asada and S. Yajima", title = "A Hardware Algorithm for Computing Sine and Cosine Using Redundant Binary Representation", journal = j-SYS-COMP-JAPAN, volume = "18", number = "??", pages = "1--9", month = "????", year = "1987", CODEN = "SCJAEP", DOI = "", ISSN = "0882-1666 (print), 1520-684X (electronic)", ISSN-L = "0882-1666", bibdate = "Wed Nov 12 08:59:45 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Systems and computers in Japan", } @PhdThesis{Takagi:1987:SHA, author = "Naofumi Takagi", title = "Studies on Hardware Algorithms for Arithmetic Operations with a Redundant Binary Adder", type = "{PhD} dissertation", school = "Department of Information Sciences, Faculty of Engineering, Kyoto University", address = "Kyoto, Japan", pages = "vii + 150", month = aug, year = "1987", bibdate = "Thu Nov 13 06:14:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://hdl.handle.net/2433/154053; https://repository.kulib.kyoto-u.ac.jp/server/api/core/bitstreams/b38960be-ee22-458e-9899-ed77db01155e/content;", acknowledgement = ack-nhfb, tableofcontents = "Abstract / i \\ Table of Contents / v \\ \\ 1: Introduction / 1 \\ 1.1 Backgrounds / 1 \\ 1.2 Outline of the Thesis / 4 \\ \\ 2: Preliminaries / 8 \\ 2.1 Binary Number System / 8 \\ 2.2 Computation Model / 8 \\ 2.3 Redundant Binary Representation \\ 2.3.1 Redundant Binary Representation / 10 \\ 2.3.2 Carry-Propagation-Free Addition / 11 \\ 2.3.3 Redundant Binary to Binary Conversion / 15 \\ 2.3.4 Special Redundant Binary Numbers / 16 \\ \\ 3: A Multiplication Hardware Algorithm with a Redundant Binary Addition Tree / 19 \\ 3.1 Introduction / 19 \\ 3.2 A Multiplication Hardware Algorithm / 19 \\ 3.2.1 Algorithm / 21 \\ 3.2.2 Analysis of the Algorithm / 25 \\ 3.3 A Multiplier Based on the Algorithm \\ 3.3.1 Multiplier Recoding and Partial Product Generation / 27 \\ 3.3.2 A Multiplier Based on the Algorithm / 30 \\ 3.3.3 The Depth and the Gate Count of the Multiplier / 33 \\ 3.4 Computation of Other Arithmetic Functions Using the Multiplier \\ 3.4.1 Redundant Binary Multiplier Receding / 35 \\ 3.4.2 Computation of Other Arithmetic Functions / 36 \\ 3.5 Remarks and Discussions / 39 \\ \\ 4: A Subtract-and-Shift Division Hardware Algorithm / 42 \\ 4.1 Introduction / 42 \\ 4.2 A Division Hardware Algorithm / 44 \\ 4.2.1 Algorithm / 44 \\ 4.2.2 Analysis of the Algorithm / 47 \\ 4.3 A Divider Based on the Algorithm / 51 \\ 4.4 Remarks and Discussions / 56 \\ 4.A A Proof of the Correctness of the Algorithm / 57 \\ \\ 5: A Subtract-and-Shift Square Root Hardware Algorithm / 60 \\ 5.1 Introduction / 60 \\ 5.2 A Square Root Hardware Algorithm / 62 \\ 5.2.1 Algorithm / 62 \\ 5.2.2 Analysis of the Algorithm / 67 \\ 5.3 A Square Root Circuit Based on the Algorithm / 69 \\ 5.4 Remarks and Discussions / 70 \\ 5.A A Proof of the Correctness of the Algorithm / 71 \\ \\ 6: Hardware Algorithms for Elementary Functions / 75 \\ 6.1 Introduction / 75 \\ 6.2 Hardware Algorithms Based on the CORDIC Method / 77 \\ 6.2.1 Principle of the CORDIC Method / 77 \\ 6.2.2 A Hardware Algorithm for Computing Sines and Cosines / 80 \\ 6.2.3 A Hardware Algorithm for Computing Arctangents / 87 \\ 6.3 Hardware Algorithms Based on the STL Method / 91 \\ 6.3.1 Principle of the STL Method / 91 \\ 6.3.2 A Hardware Algorithm for Computing Logarithms / 92 \\ 6.3.3 A Hardware Algorithm for Computing Exponentials / 97 \\ 6.4 Remarks and Discussions / 101 \\ \\ 7: Design of Self-Checking Arithmetic Circuits by Means of the Three-Rail Logic / 103 \\ 7.1 Introduction / 103 \\ 7.2 Design of Self-Checking Arithmetic Circuits / 106 \\ 7.3 A Design of a Self-Checking Multiplier / 112 \\ 7.4 Remarks and Discussions / 119 \\ \\ 8: Redundant Coding Schemes for Several Algebraic Systems / 121 \\ 8.1 Introduction / 121 \\ 8.2 Coding Schemes and Local Computability / 122 \\ 8.3 A Redundant Coding Scheme for a Residue Class and a Hardware Algorithm for Modular Addition / 124 \\ 8.4 Redundant Coding Schemes for Other Algebraic Systems / 129 \\ 8.5 Remarks and Discussions / 132 \\ \\ 9: Conclusion / 135 \\ Acknowledgments / 138", } @Article{Vachss:1987:CMF, author = "Raymond Vachss", title = "The {CORDIC} Magnification Function", journal = j-IEEE-MICRO, volume = "7", number = "5", pages = "83--84", month = sep # "\slash " # oct, year = "1987", CODEN = "IEMIDZ", DOI = "https://doi.org/10.1109/MM.1987.305021", ISSN = "0272-1732 (print), 1937-4143 (electronic)", ISSN-L = "0272-1732", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "IEEE Micro", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=40", keywords = "Equations; Floating-point arithmetic", } @Article{Vaudin:1987:VPE, author = "G. J. Vaudin and G. R. Nudd", title = "3 $ \mu $ m {VLSI} Processing Element Using the {CORDIC} Algorithm", journal = j-ELECT-LETTERS, volume = "23", number = "??", pages = "1164--1166", month = "????", year = "1987", CODEN = "ELLEAK", DOI = "", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Nov 12 09:04:42 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", OPTfjournal = "", OPTjournal-url = "", OPTkeywords = "", OPTnote = "", OPTremark = "", } @InProceedings{Yang:1987:SCG, author = "B. Yang and Dirk Timmermann and J. F. Bome and Helmut Hahn and Bedrich J. Hosticka and G. Schmidt and G. Zimmer", editor = "????", booktitle = "{VLSI and computers. Proceedings of the 1st International Conference on Computer Technology, Systems and Applications. COMPEURO '87, Hamburg, Germany, 11--15 May 1987}", title = "Special computers: graphics, robotics", publisher = "????", address = "????", pages = "727--730", year = "1987", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 08:41:11 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "From the abstract: ``This paper describes a special processor based on the CORDIC algorithm, which can perform a variety of trigonometric, hyperbolic and square-root functions as well as multiplications and divisions.''", xxbooktitle = "Proceedings of {VLSI} Computer, {COMPEURO}", } @Article{Cavallaro:1988:CAS, author = "Joseph R. Cavallaro and Franklin T. Luk", title = "{CORDIC} arithmetic for an {SVD} processor", journal = j-J-PAR-DIST-COMP, volume = "5", number = "3", pages = "271--290", month = jun, year = "1988", CODEN = "JPDCER", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Sat Apr 12 19:06:31 MDT 1997", bibsource = "Compendex database; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, affiliationaddress = "Cornell Univ, Ithaca, NY, USA", classification = "721; 722; 723; 921; C5230 (Digital arithmetic methods); C5440 (Multiprocessor systems and techniques)", corpsource = "Sch. of Electr. Eng., Cornell University, NY, USA", fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", journalabr = "J Parallel Distrib Comput", keywords = "Algorithms; computer architecture; computer programming; computers, digital --- Computational Methods; CORDIC arithmetic; Decomposition; digital arithmetic; hardware division; inverse tangents; mathematical techniques --- Algorithms; parallel processing; real-time; rotations; signal processing applications; Singular Value; singular value decomposition; special-purpose arithmetic techniques; square root; SVD processor; vector; vector rotations; VLSI implementation", treatment = "P Practical", } @InProceedings{Cavallaro:1988:FPC, author = "Joseph R. Cavallaro and F. T. Luk", booktitle = "{Proceedings 1988 IEEE International Conference on Computer Design: VLSI, in Computers and Processors, Rye Brook, NY, 1988}", title = "Floating point {CORDIC} for matrix computations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "40--42", year = "1988", DOI = "https://doi.org/10.1109/ICCD.1988.25655", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Equations; Floating-point arithmetic; Hardware; Matrix decomposition; Read only memory; Registers; Signal processing algorithms; Singular value decomposition; Very large scale integration", } @PhdThesis{Cavallaro:1988:VCP, author = "Joseph Rocco Cavallaro", title = "{VLSI} {CORDIC} processor architectures for the {Singular Value Decomposition}", type = "{Ph.D.} thesis", school = "Cornell University", address = "Ithaca, NY, USA", pages = "124", year = "1988", ISBN-13 = "979-82-06-10199-7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/vlsi-cordic-processor-architectures-singular/docview/303553119/se-2", acknowledgement = ack-nhfb, keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "8900916", } @Article{Chakrabarti:1988:ITT, author = "N. B. Chakrabarti", title = "An Implementation of Trigonometric Transforms using Plane Rotations", journal = "IETE Journal of Research", volume = "34", number = "6", pages = "459--461", month = nov, year = "1988", CODEN = "JIETAU", DOI = "https://doi.org/10.1080/03772063.1988.11436769", ISSN = "0377-2063 (print), 0974-780X (electronic)", ISSN-L = "0377-2063", bibdate = "Tue Nov 11 15:00:32 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @InProceedings{Chapmann:1988:GDM, author = "R. Chapmann and M. A. Rahman", editor = "????", booktitle = "Proceedings {ICASSP88}. Glasgow. Scotland, 1988", title = "A generalized design method for orthogonal {IIR} lattice fillers", publisher = "????", address = "????", pages = "829--832", year = "1988", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:44:15 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @TechReport{deLange:1988:ADS, author = "A. A. J. de Lange and A. J. van der Hoeven and Ed F. Deprettere and J. Bu", title = "Automated Design of a Signal Processing Chip. {The} Floating Point Pipeline {CORDIC} Processor", type = "Delft Progress Report", number = "12", institution = "University of Delft", address = "Delft, The Netherlands", pages = "233--244", year = "1988", bibdate = "Wed Nov 12 09:13:36 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{deLange:1988:OFP, author = "A. A. J. de Lange and A. J. van der Hoeven and E. F. Deprettere and J. Bu", booktitle = "{IEEE International Symposium on Circuits and Systems, Espoo, Finland. June 7--9, 1988}", title = "An optimal floating-point pipeline {CMOS} {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2043--2047 (vol. 3)", year = "1988", DOI = "https://doi.org/10.1109/ISCAS.1988.15343", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Analytical models; Circuit simulation; CMOS process; Design methodology; Macrocell networks; Pipelines; Signal processing algorithms; Silicon compiler; Very large scale integration", } @InProceedings{Delosme:1988:PTD, author = "Jean-Marc Delosme", editor = "????", booktitle = "{Proceedings of the 21st Asilomar Conference on Circuits, Systems, and Computers, November, 1988}", title = "A processor for two-dimensional symmetric eigenvalue and singular value arrays", publisher = "????", address = "????", pages = "217--221", year = "1988", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:58:36 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Ercegovac:1988:IFA, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, Espoo, Finland. June 7--9, 1988}", title = "Implementation of fast angle calculation and rotation using on-line {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2703--2706 (vol. 3)", year = "1988", DOI = "https://doi.org/10.1109/ISCAS.1988.15497", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Broadcasting; Computer applications; Computer science; Delay; Matrix decomposition; Read only memory; Singular value decomposition; Throughput; Very large scale integration", } @InProceedings{Harber:1988:ABS, author = "R. G. Harber and X. Hu and J. Li and S. C. Bass", booktitle = "{Proceedings. 1988 IEEE International Conference on Robotics and Automation, Philadelphia, PA, April 1988}", title = "The application of bit-serial {CORDIC} computational units to the design of inverse kinematics processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1152--1157 (vol. 2)", year = "1988", DOI = "https://doi.org/10.1109/ROBOT.1988.12217", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Actuators; Arithmetic; End effectors; Equations; Interpolation; Kinematics; Performance evaluation; Process design; Testing; Very large scale integration", } @InProceedings{Hu:1988:EIC, author = "Yu Hen Hu and S. Naganathan", booktitle = "{Proceedings of the Twenty-Second Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, October 1989}", title = "Efficient Implementation of {Chirp Z-Transform} Using a {CORDIC} Processor*", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "157--160", year = "1988", DOI = "https://doi.org/10.1109/ACSSC.1988.753974", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Chirp; Computational modeling; Digital signal processing; Frequency; Greedy algorithms; Hardware; Least squares approximation; Signal processing algorithms; Very large scale integration", } @InProceedings{Hu:1988:QEC, author = "Yu Hen Hu", booktitle = "{ICASSP-88., International Conference on Acoustics, Speech, and Signal Processing, New York, NY, April 1988}", title = "The quantization effects of the {CORDIC} algorithm (coordinate rotation digital computer)", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1822--1825 (vol. 3)", year = "1988", DOI = "https://doi.org/10.1109/ICASSP.1988.196976", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Approximation error; Digital arithmetic; Error analysis; Filtering algorithms; Floating-point arithmetic; Iterative algorithms; Quantization; Roundoff errors; Signal processing algorithms", } @InProceedings{Lee:1988:CBA, author = "C. S. G. Lee", booktitle = "{Proceedings of the Third IEEE International Symposium on Intelligent Control, Arlington, VA, August 1988}", title = "{CORDIC}-based architectures for robot direct kinematics and {Jacobian} computations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "609--614", year = "1988", DOI = "https://doi.org/10.1109/ISIC.1988.65500", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Computer peripherals; Concurrent computing; Coprocessors; Displacement measurement; Equations; Jacobian matrices; Manipulators; Matrix decomposition; Robot kinematics", } @InProceedings{Note:1988:ASH, author = "Stefaan Note and Jef {Van Meerbergen} and Francky Catthoor and Hugo {De Man}", editor = "????", booktitle = "{IEEE International Symposium on Circuits and Systems, Espoo, Finland. June 7--9, 1988}", title = "Automated synthesis of a high speed {CORDIC} algorithm with the {Cathedral-III} compilation system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "581--584 (vol. 1)", year = "1988", DOI = "https://doi.org/10.1109/ISCAS.1988.14993", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1109/ISCAS.1988", keywords = "Automatic testing; Circuit synthesis; Circuit testing; Design methodology; Digital signal processing; Equations; Flow graphs; Signal processing algorithms; Signal synthesis; System testing", } @Article{Privat:1988:LCA, author = "Gilles Privat and Marc Renaudin", title = "L'algorithme {CORDIC} dans les architectures sp{\'e}cialis{\'e}es de traitement num{\'e}rique du signal. ({CORDIC}-based digital signal processing hardware algorithms)", journal = "Trait. Signal", volume = "5", number = "6", pages = "421--434", year = "1988", ISSN = "0765-0019 (print), 1958-5608 (electronic)", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0689.68038", acknowledgement = ack-nhfb, fjournal = "Traitement du Signal", keywords = "68W99", language = "French", ZBmath = "4129990", } @TechReport{Takagi:1988:SHA, author = "Naofumi Takagi", title = "Studies on Hardware Algorithms for Arithmetic Operations with a Redundant Binary Representation", type = "Report", institution = "Department of Information Sciences, Faculty of Engineering, Kyoto University", address = "Kyoto, Japan", pages = "vii + 150", day = "23", month = jan, year = "1988", bibdate = "Thu Nov 13 06:14:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://hdl.handle.net/2433/154053; https://repository.kulib.kyoto-u.ac.jp/server/api/core/bitstreams/b38960be-ee22-458e-9899-ed77db01155e/content;", acknowledgement = ack-nhfb, remark = "Wrapper around \cite{Takagi:1987:SHA}.", } @InProceedings{Ahmed:1989:EEF, author = "Hassan M. Ahmed", title = "Efficient Elementary Function Generation with Multipliers", crossref = "Ercegovac:1989:PSC", pages = "52--59", year = "1989", bibdate = "Sat Nov 27 14:19:10 MST 2004", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Ahmed.pdf", acknowledgement = ack-nhfb # " and " # ack-nj, keywords = "ARITH-9", } @InProceedings{Ahmed:1989:GCC, author = "Hassan M. Ahmed", editor = "????", booktitle = "Proceedings of {1989 International Conference on Acoustics, Speech, and Signal Processing, Glasgow, Scotland, May 1989}", title = "Generalized Convergence Computation Method", publisher = "????", address = "????", pages = "849--852", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 09:25:23 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @InProceedings{Ahmed:1989:VAC, author = "Hassan M. Ahmed and Kin-Ho Fu", editor = "????", booktitle = "Proceedings of 1989 International Conference on Acoustics, Speech, and Signal Processing, Glasgow, Scotland, May 1989", title = "A {VLSI} array {CORDIC} architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2385--2388 (vol. 4)", year = "1989", DOI = "https://doi.org/10.1109/ICASSP.1989.266947", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 09:23:48 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, keywords = "Application software; Array signal processing; Computer architecture; Digital signal processing; Equations; Iterative algorithms; Lattices; Signal processing algorithms; Systems engineering and theory; Very large scale integration", } @InProceedings{Baraniecki:1989:FCD, author = "Anna Z. Baraniecki", editor = "????", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing, Glasgow, Scotland, May 1989}", title = "Fast Computation of the {Discrete Hartley Transform}", publisher = "????", address = "????", pages = "1282--1285", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 09:28:13 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @TechReport{Cavallaro:1989:CMF, author = "Joseph R. Cavallaro and Anne C. Elster", title = "Complex Matrix Factorizations with {CORDIC} Arithmetic", type = "Technical Report", number = "89-1071", institution = "Department of Computer Science, Cornell University", address = "Ithaca, NY, USA", pages = "????", month = "????", year = "1989", bibdate = "Wed Nov 12 09:39:30 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Cavallaro:1989:VIC, author = "Joseph R. Cavallaro and M. P. Keleher and R. H. Price and G. S. Thomas", booktitle = "{Proceedings of the Eighth University\slash Government\slash Industry Microelectronics Symposium, Westborough, MA, June 1989}", title = "{VLSI} implementation of a {CORDIC} {SVD} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "256--260", year = "1989", DOI = "https://doi.org/10.1109/UGIM.1989.37346", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Array signal processing; CMOS process; Computer architecture; Design engineering; Design methodology; Matrix decomposition; Signal processing algorithms; Singular value decomposition; Very large scale integration", } @InProceedings{Considine:1989:CTF, author = "Vincent Considine", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing, Glasgow, Scotland, May 1989}", title = "{CORDIC} trigonometric function generator for {DSP}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2381--2384 (vol. 4)", year = "1989", DOI = "https://doi.org/10.1109/ICASSP.1989.266946", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Digital arithmetic; Digital signal processing; Digital systems; Equations; Polynomials; Signal generators; Signal processing algorithms; Signal sampling; Table lookup", } @InProceedings{deLange:1989:DMA, author = "A. A. J. de Lange and A. J. van der Hoeven and E. F. Deprettere and P. Dewilde and J. Bu", booktitle = "{1989 European Conference on Circuit Theory and Design, 05--08 September 1989, Brighton, UK}", title = "The design of a 50 Mflop arithmetic chip for massively parallel pipelined {DSP} algorithms: the floating point pipeline {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "410--414", year = "1989", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/51651/", acknowledgement = ack-nhfb, keywords = "Digital arithmetic; Digital signal processors; Parallel architectures; Pipeline processing; Very-large-scale integration", } @InProceedings{Delosme:1989:CAT, author = "Jean-Marc Delosme", editor = "????", booktitle = "{SPIE} Advanced Algorithms and Architectures for Signal Processing {IV}", title = "{CORDIC} algorithms: theory and extensions", volume = "1152", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "131--145", year = "1989", bibdate = "Wed Oct 29 07:27:10 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Duh:1989:IDC, author = "Wei-Jou Duh and Ja-Ling Wu", booktitle = "{International Symposium on VLSI Technology, Systems and Applications, Taipei, Taiwan, 1989}", title = "Implementing the discrete cosine transform by using {CORDIC} techniques", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "281--285", year = "1989", DOI = "https://doi.org/10.1109/VTSA.1989.68630", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Computer science; Concurrent computing; Costs; Discrete cosine transforms; Karhunen-Loeve transforms; Signal processing; Speech processing; Very large scale integration; Zinc", } @InProceedings{Eldon:1989:PRB, author = "John A. Eldon and Terrence Chow", editor = "????", booktitle = "Proceedings of the {Twenty-Third Annual Asilomar Conference on Signals, Systems and Computers, Pacific Grove, CA, October 1989}", title = "From Polar to Rectangular and Back", publisher = "????", address = "????", pages = "431--435", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 09:30:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @InProceedings{Harber:1989:BSC, author = "R. G. Harber and J. Li and X. Hu and S. C. Bass", booktitle = "{1989 IEEE International Symposium on Circuits and Systems (ISCAS), Portland, OR, May 1989}", title = "Bit-serial {CORDIC} circuits for use in a {VLSI} silicon compiler", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "154--157 (vol. 1)", year = "1989", DOI = "https://doi.org/10.1109/ISCAS.1989.100315", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Arithmetic; Hardware; Iterative algorithms; Logic circuits; Nonlinear equations; Robot kinematics; Signal processing algorithms; Silicon compiler; Very large scale integration", } @PhdThesis{Harber:1989:VDS, author = "Ronald Gerard Harber", title = "{VLSI} design of systems of {CORDIC} processors", type = "{Ph.D.} thesis", school = "Purdue University", address = "West Lafayette, IN, USA", pages = "136", year = "1989", ISBN-13 = "979-82-08-58987-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/vlsi-design-systems-cordic-processors/docview/303810953/se-2", acknowledgement = ack-nhfb, advisor = "Steven C. Bass", keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Computer science; Electrical engineering", ris-m1 = "9018838", } @Article{Hillis:1989:RFC, author = "W. Daniel Hillis", title = "{Richard Feynman} and the {Connection Machine}", journal = j-PHYS-TODAY, volume = "42", number = "2", pages = "78--83", month = feb, year = "1989", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.881196", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Apr 09 10:49:42 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://www.kurzweilai.net/articles/art0504.html?printable=1", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", keywords = "CORDIC algorithm; Los Alamos, NM; Manhattan Project", remark = "Special issue on Richard Feynman.", } @InProceedings{Hu:1989:ARM, author = "Yu Hen Hu and S. Naganathan", booktitle = "{IEEE International Symposium on Circuits and Systems, Portland, OR, May 1989}", title = "Angle recording method for efficient implementation of the {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "175--178 (vol. 1)", year = "1989", DOI = "https://doi.org/10.1109/ISCAS.1989.100320", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Chirp; Computational modeling; Contracts; Digital arithmetic; Digital signal processing; Fast Fourier transforms; Greedy algorithms; Iterative algorithms; Signal processing algorithms", xxtitle = "An Angle Recording Method for {CORDIC} Algorithm Implementation", } @InProceedings{Hu:1989:ARS, author = "Yu Hen Hu and S. Naganathan", editor = "????", booktitle = "{Proceedings of the 32nd Midwest Symposium on Circuits and Systems, Champaign, IL, August 1989}", title = "An Angle Recoding Scheme for Efficient Realization of Rotation-Based Digital Signal Processing Algorithms", publisher = "????", address = "????", pages = "349--352", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 09:35:22 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Hu:1989:PED, author = "Yu Hen Hu", editor = "????", booktitle = "{Proceedings of TCASSP. Glasgow, Scotland, May 1989}", title = "Parallel eigenvalue decomposition for {Toeplitz} and related matrices", publisher = "????", address = "????", pages = "1107--1110", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:14:25 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @PhdThesis{Hu:1989:SCD, author = "Xiaobo Hu", title = "A silicon compiler for dedicated mathematical systems based on {CORDIC} arithmetic processors", type = "{Ph.D.} thesis", school = "Purdue University", address = "West Lafayette, IN, USA", pages = "184", year = "1989", ISBN-13 = "979-82-07-65496-6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/silicon-compiler-dedicated-mathematical-systems/docview/303729399/se-2", acknowledgement = ack-nhfb, advisor = "Steven C. Bass", keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Compiler; Computer science; Electrical engineering; Mathematical systems", ris-m1 = "9018840", } @Article{Jainandunsing:1989:NCP, author = "K. Jainandunsing and E. F. Deprettere", title = "A new class of parallel algorithms for solving systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "880--912", month = sep, year = "1989", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0910051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65Y05 68Q35)", MRnumber = "91d:65050", MRreviewer = "R. E. Funderlic", bibdate = "Mon Mar 31 10:00:21 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "SIAM J. Sci. Statist. Comput.", classification = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory); C7310 (Mathematics)", corpsource = "Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; feed-forward direct methods; Givens rotations; matrix algebra; matrix factorization; nonsingular systems of linear equations; numerical methods; numerically stable; parallel algorithms; systolic implementations", onlinedate = "September 1989", treatment = "T Theoretical or Mathematical", } @Article{Jou:1989:LRB, author = "I.-C. Chang Jou", title = "Linear rotation based algorithm and systolic architecture for solving linear system equations", journal = j-PARALLEL-COMPUTING, volume = "11", number = "3", pages = "367--379", day = "28", month = "????", year = "1989", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "65-04 (65F05)", MRnumber = "1 021 444", bibdate = "Mon Apr 14 12:07:40 MDT 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, ajournal = "Parallel Comput.", classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Telecommun. Labs., Minist. of Commun., Chung-Li, Taiwan", fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191/", keywords = "algorithms; array; backward substitution; computational complexity; Gaussian elimination method; hardware complexity; ill condition; linear; linear algebra; linear array; linear rotation algorithm; linear system equations; modified; numerical singularity; parallel; parameter sequence; rotation based algorithm; sign; systolic architecture; trapezoidal systolic; triangularization of a matrix", treatment = "T Theoretical or Mathematical", } @Article{Kawasaki:1989:FPV, author = "Shumpei Kawasaki and Mitsuru Watabe and Shigeki Morinaga", title = "A floating-point {VLSI} chip for the {TRON} architecture: an architecture for reliable numerical programming", journal = j-IEEE-MICRO, volume = "9", number = "3", pages = "26--44", month = may # "\slash " # jun, year = "1989", CODEN = "IEMIDZ", DOI = "https://doi.org/10.1109/40.31476", ISSN = "0272-1732 (print), 1937-4143 (electronic)", ISSN-L = "0272-1732", bibdate = "Thu Dec 14 06:08:58 MST 2000", bibsource = "Compendex database; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeemicro.bib; Science Citation Index database (1980--2000)", acknowledgement = ack-nj # " and " # ack-nhfb, affiliation = "Hitachi Ltd, Kodaira, Jpn", ajournal = "IEEE Micro", classcodes = "B1265F (Microprocessors and microcomputers); B2570 (Semiconductor integrated circuits); C5220 (Computer architecture); C5130 (Microprocessor chips)", classification = "722; 723; 921", corpsource = "Hitachi Ltd., Tokyo, Japan", fjournal = "IEEE Micro", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=40", keywords = "Computer Architecture; computer architecture; Computer Interfaces; Computer Networks; Computer Operating Systems--Program Compilers; coprocessor instructions; Cordic Algorithm; Floating Point VLSI Chip; floating-point VLSI chip; Gmicro VLSI cpu; Gmicro/200; Gmicro/300; Gmicro/FPU; implementation; Instruction Pipelining; Integrated Circuits, VLSI; Mathematical Techniques--Digital Arithmetic; microprocessor chips; microprocessors; numerical programming; Protocol Sequences; Protocols; reliable; requirements; TRON Architecture; TRON architecture; VLSI", treatment = "P Practical", } @InProceedings{Kwan:1989:CIN, author = "Hon Keung Kwan and Ying Chun Lui", booktitle = "{Proceedings of the 32nd Midwest Symposium on Circuits and Systems, Champaign, IL, August 1989}", title = "{CORDIC} implementation of normalized {ARMA} {Schur} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "369--372 (vol. 1)", year = "1989", DOI = "https://doi.org/10.1109/MWSCAS.1989.101868", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Concurrent computing; Equations; Hardware; Reflection; Very large scale integration", } @InProceedings{Lai:1989:PAV, author = "J. Z. C. Lai and Ming Chao", title = "Parallel algorithm and {VLSI} architectures for a robot's inverse kinematics", crossref = "ACM:1989:PSN", pages = "123--132", year = "1989", bibdate = "Wed Apr 15 19:32:44 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/supercomputing89.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, classification = "B1265F (Microprocessors and microcomputers); B2570 (Semiconductor integrated circuits); C3390 (Robotics); C5130 (Microprocessor chips); C5230 (Digital arithmetic methods); C7420 (Control engineering); C7440 (Civil and mechanical engineering)", corpsource = "Dept. of Inf. Eng., Feng Chia Univ., Taichung, Taiwan", keywords = "application specific integrated circuits; computational complexity; CORDIC processors; dynamical errors; fix-point format; high throughput rates; interpolator; inverse kinematics; kinematics; parallel algorithm; parallel algorithms; pipeline processing; robot kinematics; robotic manipulator; robots; sampling period; VLSI; VLSI pipelined architectures", sponsororg = "ACM; IEEE", treatment = "P Practical", } @InProceedings{Lee:1989:CBP, author = "Lee and Chen", booktitle = "{Proceedings of IEEE International Conference on Systems Engineering, Fairborn, OH, August 1989}", title = "A {CORDIC}-based pipelined architecture for robot direct kinematic position computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "317--320", year = "1989", DOI = "https://doi.org/10.1109/ICSYSE.1989.48681", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Pipeline processing; Position control", } @TechReport{Lee:1989:FIR, author = "Jeong-A Lee and Tom{\'a}s Lang", title = "Floating-point implementation of redundant {CORDIC} for {$ Q R $} decomposition", type = "Technical report", number = "CSD-890044", institution = "Computer Science Dept., University of California", address = "Los Angeles, CA, USA", pages = "15 + 8", year = "1989", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Decomposition method.; Matrices.", remark = "``July 1989.'' Supported by the National Science Foundation.", } @InProceedings{Lin:1989:LCA, author = "Hai Xiang Lin and Henk J. Sips", title = "On-line {CORDIC} algorithms", crossref = "Ercegovac:1989:PSC", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "26--33", year = "1989", DOI = "https://doi.org/10.1109/ARITH.1989.72806", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith9/papers/ARITH9_Lin.pdf", acknowledgement = ack-nhfb, keywords = "Adders; ARITH-9; Arithmetic; Circuits; Delay; Difference equations; Minimization; Throughput; Timing", } @Article{Mehling:1989:CAS, author = "Rainer Mehling and Raimund Meyer", title = "{CORDIC-AU}, a Suitable Supplementary Unit to a General-Purpose Signal Processor", journal = "{AEU, Archiv f{\"u}r Elektronik und {\"U}bertragungstechnik: Electronics and Communication}", volume = "43", number = "??", pages = "394--397", month = "????", year = "1989", DOI = "", bibdate = "Wed Nov 12 09:19:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Nakayama:1989:MFP, author = "Takashi Nakayama and Hisao Harigai and Shingo Kojima and Hiroaki Kaneko and Hatsuhide Igarashi and Tsuneo Toba and Yutaka Yamagami and Yoichi Yano", title = "A {6.7-MFLOPS} floating-point coprocessor with vector\slash matrix instructions", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "24", number = "5", pages = "1324--1330", month = oct, year = "1989", CODEN = "IJSCBC", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Tue Dec 12 09:17:24 MST 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "An 80-bit floating-point coprocessor which implements 24 vector/matrix instructions and 22 mathematical functions is described. This processor can execute floating-point addition/rounding and pipelined multiplication concurrently, under the control of horizontal-type microinstructions. The SRT division method and CORDIC trigonometrical algorithm are used for a favorable cost/performance implementation. The performance of 6.7 MFLOPS in the vector-matrix multiplication at 20 MHz has been attained by the use of parallel operations. The vector/matrix instruction is about three times faster than conventional add and multiply instructions. The chip has been fabricated in 1.2- mu m double-metal layer CMOS process containing 433000 transistors on a 11.6*14.9-mm/sup 2/ die size.", acknowledgement = ack-nhfb, classification = "B1265F (Microprocessors and microcomputers); B2570D (CMOS integrated circuits); C5130 (Microprocessor chips); C5230 (Digital arithmetic methods)", fjournal = "IEEE Journal of Solid-State Circuits", keywords = "1.2 Micron; 20 MHz; 6.7 MFLOPS; 80 Bit; CMOS process; CORDIC trigonometrical algorithm; Double-metal layer; Floating-point coprocessor; Horizontal-type microinstructions; Mathematical functions; Parallel operations; Pipelined multiplication; SRT division method; Vector/matrix instructions; VLSI microprocessor", numericalindex = "Word length 8.0E+01 bit; Size 1.2E-06 m; Computer speed 6.7E+06 FLOPS; Frequency 2.0E+07 Hz", thesaurus = "CMOS integrated circuits; Digital arithmetic; Instruction sets; Microprocessor chips; Parallel architectures; Pipeline processing; Satellite computers; VLSI", } @Article{Timmermann:1989:HTU, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", title = "{Hough} Transform Using {CORDIC} Method", journal = j-ELECT-LETTERS, volume = "25", number = "??", pages = "105--106", month = "????", year = "1989", CODEN = "ELLEAK", DOI = "", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Nov 12 09:37:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", } @Article{Timmermann:1989:MCA, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", title = "Modified {CORDIC} algorithm with reduced iterations", journal = j-ELECT-LETTERS, volume = "25", number = "15", pages = "950--951", year = "1989", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el:19890636", ISSN = "0013-5194 (print), 1350-911x (electronic)", ISSN-L = "0013-5194", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0714.68046", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", keywords = "68Q30,68W10", ZBmath = "4176458", } @Article{Williams:1989:CAC, author = "Fred Williams", title = "The {CORDIC} Algorithm --- Cast in Silicon", journal = "Electronic Engineering", volume = "61", number = "??", pages = "47--48", month = "????", year = "1989", DOI = "", bibdate = "Wed Nov 12 09:42:48 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Yang:1989:RCS, author = "B. Yang and J. F. B{\"o}hme", editor = "????", booktitle = "{Proceedings of SPIE Advanced algorithms and architectures for signal processing, August 1989}", title = "Reducing the computations of the {SVDarray} given by {Brent} and {Luk}", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "92--102", year = "1989", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 13:26:40 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See \cite{Brent:1985:SSV}.", URL = "", acknowledgement = ack-nhfb, } @TechReport{Chown:1990:NDB, author = "Paul Chown", title = "Notes on the Design of a Barrel Shifter for the {Warwick} Pipelined {CORDIC}", type = "Research Report", number = "161", institution = "Department of Computer Science, University of Warwick", address = "Coventry CV4 7AL, UK", month = "????", year = "1990", bibdate = "Wed Nov 12 09:55:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @TechReport{Chown:1990:VDP, author = "Paul Chown", title = "{VLSI} Design of a Pipelined {CORDIC} Processor", type = "Research Report", number = "164", institution = "Department of Computer Science, University of Warwick", address = "Coventry CV4 7AL, UK", month = "????", year = "1990", bibdate = "Wed Nov 12 09:55:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Cioffi:1990:FAR, author = "J. M. Cioffi", title = "The fast adaptive {ROTOR}'s {RLS} algorithm", journal = j-IEEE-TRANS-SIG-PROC, volume = "38", number = "4", pages = "631--653", month = apr, year = "1990", CODEN = "ITPRED", DOI = "", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Wed Oct 29 10:50:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", } @InProceedings{deLange:1990:ASI, author = "A. A. J. de Lange and A. J. van der Hoeven and E. F. Deprettere and P. Dewilde", booktitle = "{[Proceedings] EURO ASIC `90}", title = "An application specific {IC} for digital signal processing: the floating point pipeline {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "62--67", year = "1990", DOI = "https://doi.org/10.1109/EASIC.1990.207911", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Array signal processing; Digital integrated circuits; Digital signal processing; Hardware; Pipelines; Radar antennas; Radar signal processing; Signal processing algorithms; Vectors", } @InProceedings{deLange:1990:RTA, author = "A. A. J. de Lange and E. F. Deprettere and A. J. van der Veen and J. Bu", editor = "????", booktitle = "{Proceedings of the ICASSP International Conference on Acoustic, Speech, and Signal Processing, Albuquerque, New Mexico, April 1990}", title = "Real Time Applications of the Floating Point Pipeline {CORDIC} Processor in Massive-Parallel Pipelined {DSP} Algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1013--1016 (vol. 2)", year = "1990", DOI = "https://doi.org/10.1109/ICASSP.1990.116062", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1109/ICASSP.1990", keywords = "Application software; Array signal processing; Computer graphics; Digital arithmetic; Multiprocessing systems; Pipelines; Speech processing; System testing; Very large scale integration", } @InProceedings{Delosme:1990:CAF, author = "Jean-Marc Delosme and S. H. Hsiao", editor = "????", booktitle = "{SPIE} Advanced Signal-Processing Algorithms, Architectures and Implementations, San Diego, {CA}, July 1990", title = "{CORDIC} algorithms in four dimensions", volume = "1348", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "349--360", year = "1990", bibdate = "Wed Oct 29 07:29:25 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Deprettere:1990:SIS, author = "E. F. Deprettere and A. A. J. de Lange and P. Dewilde", booktitle = "{IEEE International Symposium on Circuits and Systems, New Orleans, LA, May 1990}", title = "The synthesis and implementation of signal processing applications specific {VLSI} {CORDIC} arrays", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "974--977 (vol. 2)", year = "1990", DOI = "https://doi.org/10.1109/ISCAS.1990.112264", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Array signal processing; Computer graphics; Digital arithmetic; Pipelines; Signal processing; Signal synthesis; Speech processing; Speech synthesis; Very large scale integration", } @InProceedings{Dixon:1990:API, author = "Gareth Dixon", booktitle = "{IEE Colloquium on VLSI Signal Processing Architectures, 31--31 May 1990, London, UK}", title = "An array processor implementation of the {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "5/1--5/8", year = "1990", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/190293/", acknowledgement = ack-nhfb, keywords = "Digital signal processors; Parallel algorithms; Pipeline processing", } @Article{Duh:1990:CRD, author = "Wei-Jou Duh and Ja-Ling Wu", title = "Constant-rotation {DCT} architecture based on {CORDIC} techniques", journal = j-INT-J-ELECTRON, volume = "69", number = "5", pages = "583--593", month = nov, year = "1990", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207219008920343", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @Article{Ercegovac:1990:RLC, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", title = "Redundant and on-line {CORDIC}: application to matrix triangularization and {SVD}", journal = j-IEEE-TRANS-COMPUT, volume = "39", number = "6", pages = "725--740", month = jun, year = "1990", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.53594", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Arithmetic; Bandwidth; Broadcasting; Computer applications; Computer science; Delay; Matrix decomposition; Singular value decomposition; Throughput; Very large scale integration", } @InProceedings{Hu:1990:EVC, author = "Yu Hen Hu and H. M. Chern", booktitle = "{International Conference on Acoustics, Speech, and Signal Processing, Albuquerque, New Mexico, April 1990}", title = "An efficient {VLSI} {CORDIC} array structure implementation of {Toeplitz} eigensystem solvers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1575--1578 (vol. 3)", year = "1990", DOI = "https://doi.org/10.1109/ICASSP.1990.115721", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Linear systems; Very large scale integration", } @Article{Hu:1990:NIC, author = "Yu Hen Hu and S. Naganathan", title = "A novel implementation of a chirp {$Z$}-transform using a {CORDIC} processor", journal = j-IEEE-TRANS-ACOUST-SPEECH, volume = "38", number = "2", pages = "352--354", year = "1990", CODEN = "IETABA", DOI = "https://doi.org/10.1109/29.103071", ISSN = "0096-3518", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29", keywords = "Acoustics; Chirp; Circuits; Concurrent computing; Digital signal processing; Frequency; Least squares approximation; Numerical analysis; Signal processing algorithms; Very large scale integration", } @InProceedings{Hu:1990:VCA, author = "Yu Hen Hu and H. M. Chen", editor = "????", booktitle = "{Proceedings ICASSP April 1990}", title = "{VLSI CORDIC array} structure implementation of {Toeplitz} eigensystem solvers", publisher = "????", address = "????", pages = "1575--1578", year = "1990", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 11:19:43 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Jarvis:1990:ICA, author = "P. Jarvis", title = "Implementing {CORDIC} Algorithms", journal = j-DDJ, volume = "15", number = "10", pages = "152--158", month = oct, year = "1990", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Thu Sep 1 10:15:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Dr. Dobb's Journal of Software Tools", } @InProceedings{Konig:1990:OCA, author = "D. K{\"o}nig and J. E. B{\"o}hme", editor = "????", booktitle = "Signal Processing V: Theories and Applications", title = "Optimizing the {CORDIC} algorithm for processors with pipeline architectures", publisher = "Elsevier Science", address = "Amsterdam, The Netherlands", pages = "??--??", year = "1990", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 07:56:45 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Kunemund:1990:CPC, author = "R. Kunemund and H. Soldner and S. Wohlleben and T. Noll", booktitle = "{ESSCIRC '90: Sixteenth European Solid-State Circuits Conference, 19--21 September 1990, Grenoble, France}", title = "{CORDIC} Processor with Carry-Save Architecture", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "193--196", year = "1990", DOI = "", ISBN = "2-86332-087-4", ISBN-13 = "978-2-86332-087-7", LCCN = "", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5467738/", acknowledgement = ack-nhfb, keywords = "Adders; Circuit synthesis; Clocks; CMOS technology; Equations; Frequency; Research and development; Signal processing algorithms; Throughput; Zinc", } @PhdThesis{Lee:1990:RCT, author = "Jeong-A Lee", title = "Redundant {CORDIC}: Theory and its application to matrix computations", type = "{Ph.D.} thesis", school = "University of California, Los Angeles", address = "Los Angeles, CA, USA", pages = "188", year = "1990", ISBN-13 = "979-82-07-53526-5", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/redundant-cordic-theory-application-matrix/docview/303819978/se-2", acknowledgement = ack-nhfb, advisor = "Tomas Lang and Milos Ercegovac", keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Computer science; CORDIC; Electrical engineering", ris-m1 = "9115162", } @Article{Lin:1990:LCA, author = "Hai Xiang Lin and Henk J. Sips", title = "On-line {CORDIC} algorithms", journal = j-IEEE-TRANS-COMPUT, volume = "39", number = "8", pages = "1038--1052", month = aug, year = "1990", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.57043", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Adders; Assembly; Circuits; Clocks; Delay; Digital arithmetic; Hardware; Matrix decomposition; Singular value decomposition; Throughput", } @Article{Metafas:1990:DPP, author = "Dimitris E. Metafas and Costas E. Goutis", title = "A {DSP} processor with a powerful set of elementary arithmetic operations based on {CORDIC} and {CCM} algorithms", journal = j-MICROPROC-MICROPROG, volume = "30", number = "1--5", pages = "51--57", month = aug, year = "1990", CODEN = "MMICDT", DOI = "https://doi.org/10.1016/0165-6074(90)90217-W", ISSN = "0165-6074 (print), 1878-7061 (electronic)", ISSN-L = "0165-6074", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Proceedings Euromicro 90: Hardware and Software in System Engineering", URL = "https://www.sciencedirect.com/science/article/pii/016560749090217W", acknowledgement = ack-nhfb, fjournal = "Microprocessing and Microprogramming", journal-URL = "https://www.sciencedirect.com/journal/microprocessing-and-microprogramming/issues", } @InProceedings{Meyer:1990:APN, author = "R. Meyer and R. Mehling", editor = "????", booktitle = "Proceedings of the {1990 International Conference on Acoustics, Speech, and Signal Processing, Albuquerque, New Mexico, 1990}", title = "Architecture and Performance of a New Arithmetic Unit for the Computation of Elementary Functions", publisher = "????", address = "????", pages = "1783--1786", year = "1990", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 10:00:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @MastersThesis{Muller:1990:HCA, author = "Volker M{\"u}ller", title = "{Hochgenaue CORDIC-Algorithmen f{\"u}r reelle Standardfunktionen mittels dynamischer Defektberechnung}. ({German}) [{High}-accuracy {CORDIC} Algorithms for Real Elementary Functions by Means of Dynamic Error Computation]", type = "{Diplomarbeit}", school = "Institut f{\"u}r angewandte Mathematik, Universit{\"a}t Karlsruhe", address = "Karlsruhe, Germany", pages = "????", month = dec, year = "1990", bibdate = "Fri Sep 16 16:30:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, language = "German", } @InProceedings{Naganathan:1990:ADS, author = "S. Naganathan and Yu Hen Hu", editor = "????", booktitle = "Proceedings {ISCAS, IEEE Symposium on Circuits and Systems, New Orleans, LA. May 1--3, 1990}", title = "Architectural design styles in the {VLSI} implementation of real {Discrete Fourier Transform}", publisher = "????", address = "????", pages = "2316--2319", year = "1990", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 12:40:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @PhdThesis{Naganathan:1990:DMI, author = "S. Naganathan", title = "Design Methodology for the Implementation of Rotaion Based Algorithms Using a {CORDIC} Processor", type = "{Ph.D.} thesis", school = "Department of Electrical Engineering, Southern Methodist University", address = "Dallas, TX, USA", month = mar, year = "1990", bibdate = "Wed Oct 29 12:43:06 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, OPTmonth = "", OPTnote = "", } @TechReport{Rader:1990:MSA, author = "C. M. Rader and D. L. Allen and D. B. Glasco and C. E. Woodward", title = "{MUSE} --- a systolic array fur adaptive nulling with 64 degrees of freedom, using {Givens} transformations and wafer scale integration", type = "Technical report", number = "886", institution = "MIT Lincoln Laboratory", address = "Lexington, MA, USA", month = may, year = "1990", bibdate = "Wed Oct 29 13:06:56 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, OPTnote = "", } @Article{Alippi:1991:DAV, author = "Cesare Alippi", title = "Determination of Angular Values and Parameters in Flat Surfaces. {From} the Mathematical Approach to the {CORDIC} Architecture", journal = j-MICROPROC-MICROPROG, volume = "32", number = "1--5", pages = "349--355", month = aug, year = "1991", CODEN = "MMICDT", DOI = "https://doi.org/10.1016/0165-6074(91)90369-5", ISSN = "0165-6074 (print), 1878-7061 (electronic)", ISSN-L = "0165-6074", bibdate = "Wed Nov 12 10:25:50 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/0165607491903695", acknowledgement = ack-nhfb, fjournal = "Microprocessing and Microprogramming", journal-URL = "https://www.sciencedirect.com/journal/microprocessing-and-microprogramming/issues", } @InProceedings{Bass:1991:BSF, author = "S. C. Bass and G. M. Butler and R. L. Williams and F. Barlos and D. R. Miller", booktitle = "{[Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing, Toronto, Canada, May 1991}", title = "A bit-serial, floating point {CORDIC} processor in {VLSI}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1165--1168 (vol. 2)", year = "1991", DOI = "https://doi.org/10.1109/ICASSP.1991.150583", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Circuits; CMOS technology; Computer architecture; Equations; Hardware; Process design; Signal processing; Signal processing algorithms; Very large scale integration", } @InProceedings{Boehme:1991:CPA, author = "Johann F. Boehme and D. Timmermann and H. Hahn and Bedrich J. Hosticka", booktitle = "{Proceedings of SPIE, San Diego, CA, July 1991}", title = "{CORDIC} Processor Architectures", volume = "1566", number = "", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "208--219", month = jul, year = "1991", DOI = "", bibdate = "Wed Nov 12 10:28:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Chang:1991:SAD, author = "L. W. Chang and S. W. Lee", title = "Systolic Arrays for the {Discrete Hartley Transform}", journal = j-IEEE-TRANS-SIG-PROC, volume = "29", number = "11", pages = "2411--2418", month = nov, year = "1991", CODEN = "ITPRED", DOI = "", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Wed Oct 29 10:42:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", OPTfjournal = "", OPTjournal-url = "", OPTkeywords = "", OPTnote = "", OPTremark = "", } @InProceedings{Chen:1991:EIN, author = "S. G. Chen and J.-F. Lin", editor = "????", booktitle = "Proceedings of {ICASSP91}, Toronto, Canada, 1991", title = "Efficient implementation of the normalized recursive least square lattice filter", publisher = "????", address = "????", pages = "1565--1568", year = "1991", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 10:45:59 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{deLange:1991:DIF, author = "A. A. J. de Lange and E. F. Deprettere", booktitle = "{[1991] Proceedings 10th IEEE Symposium on Computer Arithmetic}", title = "Design and implementation of a floating-point quasi-systolic general purpose {CORDIC} rotator for high-rate parallel data and signal processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "272--281", year = "1991", DOI = "https://doi.org/10.1109/ARITH.1991.145571", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Array signal processing; Computer applications; Computer graphics; Hardware; Image processing; Radar applications; Radar signal processing; Signal processing algorithms", } @InCollection{Duprat:1991:FVI, author = "Jean Duprat and Jean-Michel Muller", booktitle = "Algorithms and parallel {VLSI} architectures. Vol. B: Proceedings of the international workshop, Pont-{\`a}-Mousson, France, June 10-16, 1990", title = "Fast {VLSI} implementation of {CORDIC} using redundancy", publisher = "Amsterdam: Elsevier", pages = "155--164", year = "1991", ISBN = "0-444-89120-X; 0-444-89121-8", ISBN-13 = "978-0-444-89120-4; 978-0-444-89121-1", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0800.68513", acknowledgement = ack-nhfb, keywords = "68W35", ZBmath = "125163", } @Article{Duprat:1991:WND, author = "J. Duprat and Jean-Michel Muller", title = "Writing numbers differently for faster calculation", journal = j-TECHNIQUE-SCI-INFORMATIQUES, volume = "10", number = "3", pages = "211--224", month = "????", year = "1991", CODEN = "TTSIDJ", ISSN = "0752-4072, 0264-7419", ISSN-L = "0752-4072", bibdate = "Tue Dec 12 09:20:21 MST 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Instead of Avizienis' or the carry save methods a borrow save (BS) notation is proposed. Examples are given of BS addition, subtraction, shifting and multiplication with the necessary elementary cells being proposed and circuits for testing zero and sign being described. Floating point arithmetic is explained, involving pseudo normalisation and applications are covered including the Cordic algorithm.", acknowledgement = ack-nhfb, affiliation = "{\'E}cole Normale Sup{\'e}rieure de Lyon, France", classification = "C5230 (Digital arithmetic methods)", fjournal = "Technique et science informatiques : TSI", keywords = "Addition; Borrow save; Carry save methods; Cordic algorithm; Floating point arithmetic; Multiplication; Pseudo normalisation; Shifting; Subtraction; Zero", language = "French", pubcountry = "France", thesaurus = "Digital arithmetic", } @InProceedings{Ferguson:1991:AMA, author = "Warren E. {Ferguson, Jr.} and Tom Brightman", title = "Accurate and Monotone Approximations of Some Transcendental Functions", crossref = "Kornerup:1991:PIS", pages = "237--244", year = "1991", DOI = "https://doi.org/10.1109/ARITH.1991.145566", bibdate = "Sat Nov 27 12:40:58 MST 2004", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://ieeexplore.ieee.org/document/145566", acknowledgement = ack-nj # " and " # ack-nhfb, keywords = "CORDIC algorithms", remark = "From page. 237: ``For example, an approximation of the sine function on $ [ - \pi / 4, \pi / 4] $ that is accurate to 66 bits of precision will necessarily be monotonic when rounded to 64 bits of precision. We have used this technique to establish the monotonicity of a Cyrix FasMath coprocessor's polynomial based approximations of transcendental functions [2]. Since this technique does not depend on how the approximation is determined, then it also can be applied to approximations derived by other means, e.g.,, CORDIC based approximations.''", } @InProceedings{Harding:1991:CRC, author = "John A. Harding and Tom{\'a}s Lang and Jeong-A. Lee", editor = "{IEEE}", booktitle = "{Proceedings of the 1991 IEEE International Conference on Computer Design --- VLSI in Computers and Processors, 14--16 October 1991, Cambridge, MA}", title = "A comparison of redundant {CORDIC} rotation engines", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "xvi + 654", pages = "556--559", year = "1991", DOI = "https://doi.org/10.1109/ICCD.1991.139972", ISBN = "0-8186-2270-9 (print), 0-8186-2271-7 (microfiche), 0-8186-2272-5 (case)", ISBN-13 = "978-0-8186-2270-0 (print), 978-0-8186-2271-7 (microfiche), 978-0-8186-2272-4 (case)", LCCN = "TK7874 .I44 1991", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/139972/", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Arithmetic; CMOS process; Computer architecture; Computer science; Difference equations; Engines; Matrix decomposition; Parallel architectures; Throughput", } @InProceedings{Harding:1991:RVS, author = "John A. Harding and Tom{\'a}s Lang", booktitle = "{[1991] Proceedings of the 34th Midwest Symposium on Circuits and Systems}", title = "A redundant variable scaling {CORDIC} rotation engine implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "287--290 (vol. 1)", year = "1991", DOI = "https://doi.org/10.1109/MWSCAS.1991.252043", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CMOS process; Computer architecture; Computer science; Digital arithmetic; Engines; Equations; Matrix decomposition; Parallel architectures; Throughput", } @InProceedings{Hsiao:1991:CHA, author = "Shen-Fu Hsiao and Jean-Marc Delosme", title = "The {CORDIC} {Householder} algorithm", crossref = "Kornerup:1991:PIS", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "256--263", year = "1991", DOI = "https://doi.org/10.1109/ARITH.1991.145569", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_Hsiao.pdf", acknowledgement = ack-nhfb, keywords = "ARITH-10; Computer architecture; Digital arithmetic; Eigenvalues and eigenfunctions", } @Article{Hu:1991:ERC, author = "Xiabo Hu and Ronald G. Harber and Steven C. Bass", title = "Expanding the range of convergence of the {CORDIC} algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "40", number = "1", pages = "13--21", month = jan, year = "1991", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.67316", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Convergence of numerical methods; Digital arithmetic; Equations; Hardware; Helium; Input variables; Iterative algorithms; Robot control; Roundoff errors; Signal processing algorithms", } @Article{Kikuchi:1991:DPP, author = "Hisakazu Kikuchi and Makoto Nakashizuka and Hiromichi Watanabe", title = "Design of a Pipelined Plane-Rotation Algorithm Based on the Error Analysis", journal = "Electronics and Communications in {Japan}, Part {III}: Fundamental Electronic Science", volume = "74", number = "??", pages = "53--65", month = "????", year = "1991", DOI = "", bibdate = "Wed Nov 12 10:17:04 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @MastersThesis{Kitabjian:1991:IAC, author = "David Hagop Kitabjian", title = "An Investigation Into Angle Coding in the {CORDIC} Algorithm", type = "{M.S.} thesis", school = "Drexel University", address = "Philadelphia, PA, USA", pages = "216", year = "1991", ISBN-13 = "979-83-8040-187-6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/investigation-into-angle-coding-cordic-algorithm/docview/2874659945/se-2", acknowledgement = ack-nhfb, advisor = "Prabhakara Rao Chitrapu and Moshe Kam", keywords = "0464:Computer Engineering; 0544:Electrical engineering; Coding procedure; Computer engineering; Computer simulations; CORDIC algorithm; Digital hardware; Electrical engineering", ris-m1 = "30754461", } @MastersThesis{Kota:1991:ANI, author = "Kishore Kota", title = "Architectural, numerical and implementation issues in the {VLSI} design of an integrated {CORDIC-SVD} processor", type = "{M.S.} thesis", school = "Rice University", address = "Houston, TX, USA", pages = "102", year = "1991", ISBN-13 = "979-82-05-92877-9", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/architectural-numerical-implementation-issues/docview/219894627/se-2", acknowledgement = ack-nhfb, advisor = "Joseph R. Cavallaro", keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "1345319", } @InProceedings{Lee:1991:DFT, author = "Jeong-A Lee and Kiseon Kim", booktitle = "{[1991] Proceedings. First Great Lakes Symposium on VLSI}", title = "{Discrete Fourier Transform} processors using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "260--265", year = "1991", DOI = "https://doi.org/10.1109/GLSV.1991.143976", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Band pass filters; Bit rate; Chirp; Digital filters; Discrete Fourier transforms; Fast Fourier transforms; Frequency measurement; Performance analysis; Very large scale integration", } @InProceedings{Lee:1991:SCF, author = "Jeong-A. Lee and Tom{\'a}s Lang", title = "{SVD} by {constant-factor-redundant-CORDIC}", crossref = "Kornerup:1991:PIS", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "264--271", year = "1991", DOI = "https://doi.org/10.1109/ARITH.1991.145570", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_Lee.pdf", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; ARITH-10; Arithmetic; Computer architecture; Concurrent computing; Difference equations; Parallel algorithms; Throughput", } @InProceedings{Metafas:1991:FPP, author = "D. E. Metafas and C. E. Goutis", booktitle = "{1991 IEEE International Symposium on Circuits and Systems (ISCAS), Singapore, Singapore, June 1991}", title = "A floating point pipeline {CORDIC} processor with extended operation set", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3066--3069 (vol. 5)", year = "1991", DOI = "https://doi.org/10.1109/ISCAS.1991.176195", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Convergence; Digital signal processing; Equations; Hardware; Iterative algorithms; Iterative methods; Pipelines; Signal processing algorithms", } @InProceedings{Metafas:1991:VDB, author = "D. E. Metafas and G. A. Krikis and C. E. Goutis", booktitle = "{Euro ASIC '91}", title = "{VLSI} design of an 8-bit fixed point {CORDIC} processor with extended operation set", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "158--161", year = "1991", DOI = "https://doi.org/10.1109/EUASIC.1991.212874", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; CMOS technology; Convergence; Digital signal processing; Digital signal processing chips; Equations; Hardware; Iterative methods; Signal processing algorithms; Very large scale integration", } @Article{Pulskamp:1991:CCC, author = "R. J. Pulskamp and J. A. Delaney", title = "Computer and calculator computation of elementary functions", journal = j-UMAP, volume = "12", number = "??", pages = "317--348", month = "????", year = "1991", DOI = "", ISSN = "0197-3622 (print), 1938-338X (electronic)", ISSN-L = "0197-3622", bibdate = "Wed Nov 12 05:57:15 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, fjournal = "The UMAP Journal", keywords = "CORDIC algorithms", } @Article{Takagi:1991:RCM, author = "Naofumi Takagi and Tohru Asada and Shuzo Yajima", title = "Redundant {CORDIC} methods with a constant scale factor for sine and cosine computation", journal = j-IEEE-TRANS-COMPUT, volume = "40", number = "9", pages = "989--995", month = sep, year = "1991", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.83660", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "65-04 (65D20)", MRnumber = "1125909", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1397.65008", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "65-04,65D20; Acceleration; Automatic control; Computer graphics; Digital arithmetic; Digital systems; Hardware; Matrix decomposition; Signal generators; Singular value decomposition; Very large scale integration", ZBmath = "6937004", } @InProceedings{Timmermann:1991:LLT, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", booktitle = "{1991 IEEE International Symposium on Circuits and Systems (ISCAS), Singapore, Singapore, May 1991}", title = "A low latency time {CORDIC} algorithm with increased parallelism", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2975--2978 (vol. 5)", year = "1991", DOI = "https://doi.org/10.1109/ISCAS.1991.176171", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits and systems; Computer architecture; Delay; Equations; Hardware; Inspection; Iterative algorithms; Microelectronics; Parallel processing; Vectors", } @Article{Timmermann:1991:NAS, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka and B. Rix", title = "A new addition scheme and fast scaling factor compensation methods for {CORDIC} algorithms", journal = j-INTEGRATION-VLSI-J, volume = "11", number = "1", pages = "85--100", month = mar, year = "1991", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/0167-9260(91)90008-9", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 08:32:38 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/0167926091900089", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Adders; algorithms; computer arithmetic; CORDIC; elementary functions; number systems", } @Article{Timmermann:1991:PCC, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka and G. Schmidt", title = "A programmable {CORDIC} chip for digital signal processing applications", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "26", number = "9", pages = "1317--1321", year = "1991", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/4.84950", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Solid-State Circuits", keywords = "Adders; Chip scale packaging; CMOS technology; Computer architecture; Design optimization; Digital signal processing chips; Fixed-point arithmetic; Read-write memory; Registers; Signal processing algorithms", } @InProceedings{Trandafir:1991:PCA, author = "Titi Trandafir and Sorin Gheonea", editor = "????", booktitle = "{Proceedings of the 6th Mediterranean Electrotechnical Conference, Ljubljana, Slovenia, Yugoslavia, May 1991}", title = "Practical Considerations about the Evaluation of Some Functions", publisher = "????", address = "????", pages = "359--362", year = "1991", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 10:24:38 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Tu:1991:ALA, author = "Paul K.-G. Tu and Milo{\v{s}} D. Ercegovac", title = "Application of on-line arithmetic algorithms to the {SVD} computation: preliminary results", crossref = "Kornerup:1991:PIS", pages = "246--255", year = "1991", bibdate = "Sat Nov 27 12:40:58 MST 2004", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith10/papers/ARITH10_Tu.pdf", abstract = "A scheme for the singular value decomposition (SVD) problem, based on online arithmetic, is discussed. The design, using radix-2 floating-point online operations, implemented in the LSI HCMOS gate-array technology, is compared with a compatible conventional arithmetic implementation. The preliminary results indicate that the proposed online approach achieves a speedup of 2.4-3.2 with respect to the conventional solutions, with 1.3-5.5 more gates and more than 6 times fewer interconnections.", acknowledgement = ack-nhfb, affiliation = "IBM Corp., Austin, TX, USA", classification = "C5230 (Digital arithmetic methods)", keywords = "ARITH-10; Floating-point online operations; Online; Online arithmetic; Radix-2; Singular value decomposition", thesaurus = "Digital arithmetic", } @PhdThesis{Arjomand:1992:FPC, author = "Ata'u'llah Arjomand", title = "Fast Parallel Computation of the {Singular Value Decomposition} of Real Matrices Using {CORDIC} Arithmetic", type = "{Ph.D.} thesis", school = "Yale University", address = "New Haven, CT, USA", pages = "250", year = "1992", ISBN-13 = "979-82-08-71568-0", MRclass = "99-05", MRnumber = "2688864", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Thesis (Ph.D.)--Yale University", URL = "https://www.proquest.com/dissertations-theses/fast-parallel-computation-singular-value/docview/304011601/se-2", acknowledgement = ack-nhfb, advisor = "Jean-Marc Delosme", keywords = "0405:Mathematics; 0544:Electrical engineering; 0984:Computer science; Applied sciences; Computer science; Electrical engineering; Mathematics; Pure sciences", ris-m1 = "9314783", xxaddress = "Ann Arbor, MI", xxpublisher = "ProQuest LLC", } @Article{Bertrand:1992:CMF, author = "Michael Bertrand", title = "The {CORDIC} Method for Faster {\tt sin} and {\tt cos} Calculations", journal = j-CUJ, volume = "10", number = "11", pages = "57--??", month = nov, year = "1992", ISSN = "0898-9788", bibdate = "Fri Aug 30 16:52:23 MDT 1996", bibsource = "http://www.cuj.com/cbklist.htm; http://www.math.utah.edu/pub/tex/bib/cccuj.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "C Users Journal", } @InProceedings{Dawid:1992:HSB, author = "H. Dawid and H. Meyr", booktitle = "{[1992] Proceedings of the International Conference on Application Specific Array Processors, Berkeley, CA, August 1992}", title = "High speed bit-level pipelined architectures for redundant {CORDIC} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "358--372", year = "1992", DOI = "https://doi.org/10.1109/ASAP.1992.218559", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Arithmetic; CMOS process; Computer architecture; Computer graphics; Matrix decomposition; Signal processing algorithms; Singular value decomposition; Throughput; Very large scale integration", } @InProceedings{Dawid:1992:VHS, author = "Herbert Dawid and Heinrich Meyr", editor = "Joost Vandewalle and Ren{\'e} Boite and M. Moonen and Andr{\'e} Oosterlinck", booktitle = "{Signal processing: theories and applications; proceedings of EUSIPCO \ldots{} European Signal Processing Conference. 1. Brussels, Belgium, August 24--27, 1992}", title = "Very high speed {CORDIC} implementation: algorithm transformation and novel carry-save architecture", publisher = "Elsevier", address = "Oxford, UK", pages = "1561--1564", year = "1992", DOI = "https://doi.org/10.1016/B978-0-444-89587-5.50093-1", ISBN = "0-444-89587-6", ISBN-13 = "978-0-444-89587-5", LCCN = "TK5102.5 .E9 1992", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/B9780444895875500931", acknowledgement = ack-nhfb, } @InProceedings{Dawid:1992:VIC, author = "H. Dawid and H. Meyr", booktitle = "{[Proceedings] 1992 IEEE International Symposium on Circuits and Systems}", title = "{VLSI} implementation of the {CORDIC} algorithm using redundant arithmetic", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1089--1092 (vol. 3)", year = "1992", DOI = "https://doi.org/10.1109/ISCAS.1992.230290", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuits; Clocks; Computer architecture; Delay; Force control; Frequency; Signal processing algorithms; Throughput; Very large scale integration", } @Article{Hu:1992:CBV, author = "Yu Hen Hu", title = "{CORDIC}-based {VLSI} architectures for digital signal processing", journal = j-IEEE-SIGNAL-PROCESS-MAG, volume = "9", number = "3", pages = "16--35", month = jul, year = "1992", CODEN = "ISPRE6", DOI = "https://doi.org/10.1109/79.143467", ISSN = "1053-5888 (print), 1558-0792 (electronic)", ISSN-L = "1053-5888", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Magazine", keywords = "Arithmetic; Computer architecture; Digital filters; Digital signal processing; Iterative algorithms; Iterative methods; Signal processing algorithms; Very large scale integration", } @InProceedings{Hu:1992:CCAa, author = "Yu Hen Hu and H. E. Liao", booktitle = "{[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "{CALF}: a {CORDIC} adaptive lattice filter", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "193--196 (vol. 4)", year = "1992", DOI = "https://doi.org/10.1109/ICASSP.1992.226453", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Arithmetic; Computational modeling; Computer simulation; Drives; Equations; Hardware; Lattices; Reflection; Very large scale integration", } @Article{Hu:1992:CCAb, author = "Yu Hen Hu and H. E. Liao", title = "{CALF}: a {CORDIC} adaptive lattice filter", journal = j-IEEE-TRANS-SIG-PROC, volume = "40", number = "4", pages = "990--993", year = "1992", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.127975", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Adaptive filters; Arithmetic; Computational modeling; Computer errors; Computer simulation; Lattices; Prediction algorithms; Reflection; Signal processing algorithms; Very large scale integration", } @Article{Hu:1992:QEC, author = "Yu Hen Hu", title = "The quantization effects of the {CORDIC} algorithm", journal = j-IEEE-TRANS-SIG-PROC, volume = "40", number = "4", pages = "834--844", month = jul, year = "1992", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.127956", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "65D15 65G50 65Y10", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0752.65006", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "$ Q R $ factorization; Algorithm design and analysis; Chirped Z-Transform (CZT); circular CORDIC; Computer errors; Digital arithmetic; Discrete Cosine Transform (DCT); Discrete Fourier Transform (DFT); Discrete Hartley Transform (DHT); eigenvalue decomposition (EVD); Fast Fourier Transform (FFT); hyperbolic CORDIC; Iterative algorithms; Kalman filtering; linear CORDIC; matrix based digital signal processing algorithms; Process design; Quantization; Roundoff errors; Signal processing algorithms; singular value decomposition (SVD); Vectors; Very large scale integration", remark = "This paper is often cited for its error estimates for CORDIC algorithms. It also contains clear summaries of algorithms that should be easily converted to computer software.", ZBmath = "58279", } @InProceedings{Kitabjian:1992:SAC, author = "D. H. Kitabjian and P. R. Chitrapu", booktitle = "{[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "The suboptimality of angle coding in the {CORDIC} algorithm", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "421--424 (vol. 4)", year = "1992", DOI = "https://doi.org/10.1109/ICASSP.1992.226346", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Convergence; Equations; Error analysis; Iterative algorithms; Quantization; Shape", } @InProceedings{Kota:1992:NSR, author = "K. Kota and Joseph R. Cavallaro", booktitle = "{[Proceedings] 1992 IEEE International Symposium on Circuits and Systems}", title = "A normalization scheme to reduce numerical errors in inverse tangent computations on a fixed-point {CORDIC} processor", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "244--247 (vol. 1)", year = "1992", DOI = "https://doi.org/10.1109/ISCAS.1992.229968", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Approximation error; Computer errors; Digital arithmetic; Finite wordlength effects; Fixed-point arithmetic; Hardware; Real time systems; Signal processing algorithms; Very large scale integration", } @Article{Lee:1992:CFR, author = "J.-A. Lee and Tom{\'a}s Lang", title = "Constant-factor redundant {CORDIC} for angle calculation and rotation", journal = j-IEEE-TRANS-COMPUT, volume = "41", number = "8", pages = "1016--1025", month = aug, year = "1992", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.156544", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Computer architecture; Concurrent computing; Convergence; Digital arithmetic; Digital signal processing; Equations; Matrix decomposition; Parallel algorithms; Signal processing algorithms; Throughput", } @InBook{Mertzios:1992:FIR, author = "Vassilios Basil G. Mertzios and Stylianos S. Scarlatos", booktitle = "Robotic Systems", title = "Fast Implementation of Robotic Manipulator Kinematics using {CORDIC} and Systolic Processors", publisher = "Springer Netherlands", pages = "19--26", year = "1992", DOI = "https://doi.org/10.1007/978-94-011-2526-0_3", ISBN = "94-011-2526-0", ISBN-13 = "978-94-011-2526-0", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Peczalski:1992:HTC, author = "A. Peczalski and P. Dietrich and R. Mactaggart and D. Grider", booktitle = "{[1992] Proceedings IEEE/AIAA 11th Digital Avionics Systems Conference}", title = "High-throughput {CORDIC} coprocessor for signal and display processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "564--567", year = "1992", DOI = "https://doi.org/10.1109/DASC.1992.282100", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Application specific integrated circuits; Computer displays; Coprocessors; Gallium arsenide; HEMTs; MODFETs; Radar applications; Signal processing algorithms; Throughput", } @InProceedings{Rader:1992:MSA, author = "C. M. Rader", editor = "????", booktitle = "{Proceedings of the International Conference on Application Specific Array Processors, Berkeley, CA, August 1992}", title = "{MUSE} --- a Systolic Array for Adaptive Nulling with 64 Degrees of Freedom, Using {Givens} Transformations and Wafer Scale Integration", publisher = "????", address = "????", pages = "277--291", year = "1992", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 10:32:36 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Rix:1992:CBF, author = "B. Rix and Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", booktitle = "{1992 Proceedings of the IEEE Custom Integrated Circuits Conference}", title = "A {CORDIC}-based Floating-point Arithmetic Unit", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "30.3.1--30.3.4", year = "1992", DOI = "https://doi.org/10.1109/CICC.1992.591874", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Floating-point arithmetic; Generators; Microelectronics; Pipelines; Registers; Routing; Throughput; Transistors; Vectors", } @InProceedings{Rix:1992:CFA, author = "B. Rix and Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", title = "A {CORDIC}-based floating-point arithmetic unit", crossref = "IEEE:1992:PIC", bookpages = "766", pages = "30.3/1--4", year = "1992", bibdate = "Tue Dec 12 09:27:13 MST 1995", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "A floating-point arithmetic unit based on the CORDIC algorithm is described. It computes a wide range of arithmetic, trigonometric, and hyperbolic functions and achieves a normalized peak performance of 220 MFLOPS. The unit is implemented in 1.6- mu m double-metal CMOS technology and packaged in a 280-pin PGA.", acknowledgement = ack-nhfb, affiliation = "Department of Electr. Eng., Duisburg University, Germany", classification = "B1265F (Microprocessors and microcomputers); B2570D (CMOS integrated circuits); C5135 (Digital signal processing chips); C5230 (Digital arithmetic methods); C5260 (Digital signal processing)", keywords = "1.6 Micron; 220 MFLOPS; 280-Pin PGA; CORDIC algorithm; Double-metal CMOS technology; DSP; Floating-point arithmetic unit; Hyperbolic functions; Trigonometric functions", numericalindex = "Computer speed 2.2E+08 FLOPS; Size 1.6E-06 m", thesaurus = "CMOS integrated circuits; Digital arithmetic; Digital signal processing chips", } @InProceedings{Timmermann:1992:ALE, author = "Dirk Timmermann and I. Sundsbo", booktitle = "{[Proceedings] 1992 IEEE International Symposium on Circuits and Systems}", title = "Area and latency efficient {CORDIC} architectures", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1093--1096 (vol. 3)", year = "1992", DOI = "https://doi.org/10.1109/ISCAS.1992.230289", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Circuits and systems; Delay; Hardware; Image processing; Microelectronics; Pipelines; Power dissipation; Signal processing algorithms; Silicon", } @Article{Timmermann:1992:LLT, author = "Dirk Timmermann and Helmut Hahn and Bedrich J. Hosticka", title = "Low Latency Time {CORDIC} Algorithms", journal = j-IEEE-TRANS-COMPUT, volume = "41", number = "8", pages = "1010--1015", month = aug, year = "1992", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.156543", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb # " and " # ack-nj, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Adders; Computer architecture; Delay; Digital arithmetic; Equations; Hardware; Iterative algorithms; Parallel processing; Vectors", } @Article{Bruguera:1993:DPR, author = "J. D. Bruguera and E. Antelo and E. L. Zapata", title = "Design of a pipelined radix 4 {CORDIC} processor", journal = j-PARALLEL-COMPUTING, volume = "19", number = "7", pages = "729--744", year = "1993", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(93)90061-O", ISSN = "0167-8191 (print), 1872-7336 (electronic)", ISSN-L = "0167-8191", MRclass = "68M99 68W35", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/016781919390061O", ZMnumber = "0774.68019", acknowledgement = ack-nhfb, fjournal = "Parallel Computing", journal-URL = "http://www.sciencedirect.com/science/journal/01678191", keywords = "Digital signal processing; pipelining; redundant arithmetic; signed-digit adders; {CORDIC} algorithm", ZBmath = "428564", } @InCollection{Deprettere:1993:SFCa, author = "E. F. Deprettere", booktitle = "Linear Algebra for Large Scale and Real-Time Applications", title = "Subband Filtering: {CORDIC} Modulation and Systolic Quadrature Mirror Filter Tree", publisher = "Springer Netherlands", pages = "69--89", year = "1993", DOI = "https://doi.org/10.1007/978-94-015-8196-7_5", ISBN = "94-015-8196-7", ISBN-13 = "978-94-015-8196-7", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Deprettere:1993:SFCb, author = "E. F. Deprettere and R. Heusdens and H. Theunis", booktitle = "{Proceedings of International Conference on Application Specific Array Processors (ASAP '93)}", title = "Subband filtering: {CORDIC} modulation and systolic quadrature mirror filter tree", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "109--123", year = "1993", DOI = "https://doi.org/10.1109/ASAP.1993.397125", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Filter bank; Filtering algorithms; Fourier transforms; Mirrors; Parallel algorithms; Signal analysis; Signal processing algorithms; Signal synthesis; Transfer functions", } @Article{Duprat:1993:CAN, author = "Jean Duprat and Jean-Michel Muller", title = "The {CORDIC} Algorithm: New Results for Fast {VLSI} Implementation", journal = j-IEEE-TRANS-COMPUT, volume = "42", number = "2", pages = "168--178", month = feb, year = "1993", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.204786", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", note = "See comments and corrections \cite{Phatak:1998:CDM}.", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=204786", acknowledgement = ack-nj # "\slash " # ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Arithmetic; Calculators; Coprocessors; Delay; Filtering; Hardware; Nonlinear filters; Signal processing algorithms; Very large scale integration", remark = "From the introduction: ``The CORDIC algorithm was introduced in 1959 by Volder \cite{Volder:1959:CTC}. In Volder's version, CORDIC makes it possible to perform rotations (and therefore to compute sine, cosine, and arctangent functions) and to multiply or divide numbers, using only shift-and-add elementary steps. In 1971, Walther \cite{Walther:1971:UAE} generalized this algorithm in order to compute logarithms, exponentials, and square roots. CORDIC is not the fastest way to perform multiplications or to compute logarithms and exponentials, but, since the same algorithm enables the computation of most mathematical functions using basic operations of the form $ a \pm b 2^{-i} $, it is attractive for hardware implementations.''", } @Article{Fowkes:1993:HEA, author = "Raymond E. Fowkes", title = "Hardware Efficient Algorithms for Trigonometric Functions", journal = j-IEEE-TRANS-COMPUT, volume = "42", number = "2", pages = "235--239", month = feb, year = "1993", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.204796", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Thu Jul 7 07:58:47 MDT 2011", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=204796", acknowledgement = ack-nj # "\slash " # ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "CORDIC algorithms", } @InProceedings{Gotze:1993:CBJ, author = "J{\"u}rgen G{\"o}tze and Steffen Paul and Matthias Sauer", booktitle = "{1993 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "A {CORDIC}-based {Jacobi}-like algorithm for eigenvalue computation", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "296--299 (vol. 3)", year = "1993", DOI = "https://doi.org/10.1109/ICASSP.1993.319495", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit synthesis; Concurrent computing; Convergence; Eigenvalues and eigenfunctions; Electronic mail; Jacobian matrices; Reflection; Runtime; Symmetric matrices; Very large scale integration", } @InProceedings{Guo:1993:CBV, author = "Jiun-In Guo and Chi-Min Liu and Chein-Wei Jen", booktitle = "{1993 IEEE International Symposium on Circuits and Systems (ISCAS), Chicago, IL, 1993}", title = "A {CORDIC}-based {VLSI} array for computing {2D} discrete {Hartley} transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1571--1574 (vol. 3)", year = "1993", DOI = "https://doi.org/10.1109/ISCAS.1993.394037", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computational complexity; Computer science; DH-HEMTs; Discrete cosine transforms; Discrete Fourier transforms; Discrete transforms; Hardware; Kernel; Very large scale integration", } @InProceedings{Hekstra:1993:FPC, author = "Gerben J. Hekstra and Ed F. A. Deprettere", title = "Floating Point {CORDIC}", crossref = "Swartzlander:1993:SCA", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "130--137", year = "1993", DOI = "https://doi.org/10.1109/ARITH.1993.378100", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith11/papers/ARITH11_Hekstra.pdf", acknowledgement = ack-nhfb, keywords = "ARITH-11; Clocks; Computer architecture; Equations; Floating-point arithmetic; Hardware; Vectors", } @InProceedings{Hemkumar:1993:ECM, author = "Nariankadu D. Hemkumar and Joseph R. Cavallaro", booktitle = "{Proceedings of IEEE 11th Symposium on Computer Arithmetic}", title = "Efficient complex matrix transformations with {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "122--129", year = "1993", DOI = "https://doi.org/10.1109/ARITH.1993.378101", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Concurrent computing; Convergence; Eigenvalues and eigenfunctions; Iterative algorithms; Jacobian matrices; Matrix decomposition; Parallel algorithms; Parallel architectures; Signal processing algorithms; Singular value decomposition", } @PhdThesis{Hsiao:1993:MDC, author = "Shen-Fu Hsiao", title = "Multi-dimensional {CORDIC} algorithms", type = "{Ph.D.} thesis", school = "Yale University", address = "New Haven, CT, USA", pages = "214", year = "1993", ISBN-13 = "979-82-08-49678-7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/multi-dimensional-cordic-algorithms/docview/304066755/se-2", acknowledgement = ack-nhfb, advisor = "Jean-Marc Delosme", keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering; non-Euclidean space; VLSI", ris-m1 = "9415862", } @Article{Hu:1993:ARM, author = "Yu Hen Hu and S. Naganathan", title = "An angle recoding method for {CORDIC} algorithm implementation", journal = j-IEEE-TRANS-COMPUT, volume = "42", number = "1", pages = "99--102", month = jan, year = "1993", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.192217", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=192217", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Application software; Chirp; Computational modeling; CORDIC algorithms; Digital arithmetic; Digital signal processing; Fast Fourier transforms; Greedy algorithms; Hardware; Iterative algorithms; Signal processing algorithms", } @Article{Hu:1993:EIS, author = "X. Hu and S. C. Bass and R. G. Harber", title = "An efficient implementation of singular value decomposition rotation transformations with {CORDIC} processors", journal = j-J-PAR-DIST-COMP, volume = "17", number = "4", pages = "360--362", year = "1993", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.1993.1034", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0769.65017", acknowledgement = ack-nhfb, ajournal = "J. Parallel Distrib. Comput.", fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "65F15,65Y10", ZBmath = "222378", } @Article{Hu:1993:FAR, author = "Yu Hen Hu", title = "A Forward Angle Recoding {CORDIC} Algorithm and Pipelined Processor Array Structure for Digital Signal Processing", journal = j-DIGIT-SIGNAL-PROCESS, volume = "3", number = "1", pages = "2--15", year = "1993", CODEN = "DSPREJ", DOI = "https://doi.org/10.1006/dspr.1993.1002", ISSN = "1051-2004 (print), 1095-4333 (electronic)", ISSN-L = "1051-2004", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S105120048371002X", acknowledgement = ack-nhfb, fjournal = "Digital Signal Processing", journal-URL = "https://www.sciencedirect.com/journal/digital-signal-processing", } @InProceedings{Hu:1993:NES, author = "Xiaobo Hu and Steven C. Bass", title = "A neglected error source in the {CORDIC} algorithm", crossref = "Swartzlander:1993:SCA", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "766--769 (vol. 1)", year = "1993", DOI = "https://doi.org/10.1109/ISCAS.1993.393834", bibdate = "Wed Nov 12 10:45:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Computer errors; Computer science; Cost function; Digital arithmetic; Error analysis; Hardware; Iterative algorithms; Laboratories; Signal processing algorithms", } @Article{Jones:1993:BSC, author = "Keith John Jones", title = "Bit-serial {CORDIC} {DFT} computation with multidimensional systolic processor arrays", journal = "IEEE Journal of Oceanic Engineering", volume = "18", number = "4", pages = "508--519", year = "1993", DOI = "https://doi.org/10.1109/48.262301", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Discrete Fourier transforms; Filtering algorithms; Hypercubes; Multidimensional systems; Pipeline processing; Signal processing; Signal processing algorithms; Sonar; Very large scale integration", } @TechReport{Juffa:1993:EYA, author = "Norbert Juffa", title = "Everything You Always Wanted to Know about Math Coprocessors", type = "Report", institution = "????", address = "????", month = jan, year = "1993", bibdate = "Thu Nov 13 06:08:13 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://dougx.net/gaming/coproc.html", acknowledgement = ack-nhfb, remark-1 = "From the report: ``Unlike Intel's coprocessors, which use the CORDIC algorithm to compute the transcendental functions, Cyrix uses polynomial and rational approximations to the functions.''", remark-2 = "From the report: ``The Cyrix 83D87 uses a fast array multiplier, making its transcendental functions faster than those of any other 387 compatible coprocessor. It also uses 75 bit for the mantissa in intermediate calculations (as opposed to 68 bits on other coprocessors), making its transcendental functions more accurate than those of any other coprocessor or FPU.''", remark-3 = "From the report: ``The Weitek Abacus 3167 and 4167 coprocessors are 'mostly compatible' with IEEE-754. \ldots{} One of the most notable omissions is the missing support for denormal numbers; denormals are always flushed to zero on Weitek chips.''", remark-4 = "This is an interesting comparison, made a dozen years after the Intel 8087 floating-point coprocessor appeared on the market, of pin-compatible chips from Intel and others. The 8087 uses CORDIC algorithms for all of its elementary functions, and does the job in about 64K transistors, with 67-bit significands. That gives three additional bits over the 64 needed for the IEEE 754 binary80 format, and they serve as the Guard, Round, and Sticky bits needed to implement the four required rounding modes. Measured worst-case errors in the functions are below 3 units in the last place (ulps).\par The transcendental functions offered in hardware on the 8087 have restricted argument ranges, and thus require a software interface to carry out range reduction of general arguments before the chip instructions can be used.\par Juffa reports that the Cyrix FasMath CX-83D87 coprocessor instead uses rational polynomial representations of the elementary functions, with 75-bit significands. Its accuracy is superior to all of its competitors: Cyrix claimed that results are almost always within 0.5 ulp of the infinitely precise exact value, and thus, are almost always correctly rounded.\par Thanks to semiconductor density improvements, the Intel 486DX, introduced in 1989, put the coprocessor on the same chip as the CPU, more than tripling floating-point performance over the previous generation Intel 387DX. By the mid 1990s, floating-point support was available in all major commercial CPUs, but in some, such as the DEC Alpha, it takes a major part of the chip area.\par Although not mentioned in this article, Motorola's 68881 and 68882 coprocessors offered similar floating-point hardware instructions as the Intel 8087, but later CPUs from ARM, DEC (Alpha), HP (HPPA), IBM (POWER, PowerPC, s390x, and z-Series), Loongson, MIPS, RISC-V, and Sun/Fujitsu SPARC. and also the Intel i860, omit the elementary functions, requiring their implementation in software.", } @Article{Kota:1993:NAH, author = "K. Kota and Joseph R. Cavallaro", title = "Numerical accuracy and hardware tradeoffs for {CORDIC} arithmetic for special-purpose processors", journal = j-IEEE-TRANS-COMPUT, volume = "42", number = "7", pages = "769--779", month = jul, year = "1993", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.237718", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Application software; Computer architecture; Computer errors; Digital arithmetic; Digital signal processing chips; Error analysis; Hardware; Navigation; Signal processing algorithms; Very large scale integration", remark-1 = "From page 770, column 1: ``Since the accuracy of inverse tangent calculations has a significant impact on the system we are designing, we studied the problem and showed that the errors in inverse tangent computations using fixed-point CORDIC can be large enough to be unacceptable.''", remark-2 = "From page 773, column 2: ``\ldots{} the error in inverse tangent computations in a fixed-point CORDIC unit is always less than $ \log((n + 5)/2) $ bits.''", remark-3 = "From page 724, column 1, about the errors in the computed inverse tangent: ``If all data paths are m bits wide, then the precision of $z$-data path $\mu$ equals $ 2^{-(m - 2)} $ Hence, the above error translates to less than $ 5 n \mu$.''", } @Article{Mazenc:1993:CFU, author = "Christophe Mazenc and Xavier Merrheim and Jean-Michel Muller", title = "Computing functions $ \cos^{-1} $ and $ \sin^{-1} $ using {CORDIC}", journal = j-IEEE-TRANS-COMPUT, volume = "42", number = "1", pages = "118--122", month = jan, year = "1993", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.192222", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Thu Jul 7 07:58:47 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=192222", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Arithmetic; Array signal processing; Concurrent computing; Instruments; Logic arrays; Signal processing algorithms; Silicon compounds; Systolic arrays; Throughput; Very large scale integration", remark = "From the abstract: ``a slight modification of the algorithm enables the computation of the functions $ \acos (x) $, $ \asin (x) $, $ \sqrt {1 - t^2} $, $ \acosh (x) $, $ \asinh (x) $, and $ \sqrt {1 + t^2} $.''", } @Article{Metafas:1993:IGR, author = "D. E. Metafas and E. P. Mariatos and S. S. Nikolaidis and C. E. Goutis", title = "Implementation of {Givens}' Rotation processors for {DSP} real-time applications", journal = j-MICROPROC-MICROPROG, volume = "38", number = "1--5", pages = "351--357", month = sep, year = "1993", CODEN = "MMICDT", DOI = "https://doi.org/10.1016/0165-6074(93)90166-i", ISSN = "0165-6074 (print), 1878-7061 (electronic)", ISSN-L = "0165-6074", bibdate = "Wed Nov 12 11:56:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Microprocessing and Microprogramming", journal-URL = "https://www.sciencedirect.com/journal/microprocessing-and-microprogramming/issues", keywords = "CORDIC algorithms; Givens Rotation Processor", } @Article{Metafas:1993:RTC, author = "Dimitris E. Metafas and S. S. Nikolaidis and C. E. Goutis", title = "Real Time Cepstrum Computation Based on an Advanced {CORDIC} Processor", journal = j-MICROPROC-MICROPROG, volume = "37", number = "1--5", pages = "57--60", month = jan, year = "1993", CODEN = "MMICDT", DOI = "https://doi.org/10.1016/0165-6074(93)90015-D", ISSN = "0165-6074 (print), 1878-7061 (electronic)", ISSN-L = "0165-6074", bibdate = "Wed Nov 12 10:48:12 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/abs/pii/016560749390015D", acknowledgement = ack-nhfb, fjournal = "Microprocessing and Microprogramming", journal-URL = "https://www.sciencedirect.com/journal/microprocessing-and-microprogramming/issues", } @InProceedings{Nikolaidis:1993:CBP, author = "S. S. Nikolaidis and D. E. Metafas and C. E. Goutis", booktitle = "{Proceedings of the 1993 IEEE International Symposium on Circuits and Systems, Chicago, IL, 1993}", title = "{CORDIC} based pipeline architecture for all-pass filters7", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1917--1920 (vol. 3)", year = "1993", DOI = "https://doi.org/10.1109/ISCAS.1993.394124", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Digital filters; Filter bank; Filtering; Frequency response; Laboratories; Lattices; Pipelines; Signal processing; Transfer functions; Very large scale integration", } @InProceedings{Panescu:1993:FPC, author = "D. Panescu and Yu Hen Hu and W. J. Tompkins", booktitle = "{1993 IEEE International Conference on Acoustics, Speech, and Signal Processing, Minneapolis, MN, 1993}", title = "A fast pipelined {CORDIC}-based adaptive lattice filter", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "424--427 (vol. 3)", year = "1993", DOI = "https://doi.org/10.1109/ICASSP.1993.319525", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Adaptive signal detection; Delay; Error correction; Lattices; Prediction algorithms; Reflection; Signal analysis; Throughput; Very large scale integration", } @Article{Risse:1993:ACP, author = "W. Risse and A. Kecskem{\'e}thy and M. Hiller", title = "{Anwendung von CORDIC-Prozessoren bei der inversen Kinematik von Mechanismen}. ({German}) [{Application} of {CORDIC} processors in the inverse kinematics of mechanisms]", journal = j-Z-ANGE-MATH-MECH, volume = "73", number = "4--5", pages = "t220--t222", year = "1993", CODEN = "ZAMMAX", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0800.70031", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik (ZAMM)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", keywords = "70B15,53A17,70-08", language = "German", ZBmath = "584327", } @InProceedings{Sauer:1993:BSC, author = "Matthias Sauer and Ernst Bernard and Josef A. Nossek", booktitle = "{1993 IEEE International Symposium on Circuits and Systems}", title = "Block sequential {CORDIC} architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1591--1594 (vol. 3)", year = "1993", DOI = "https://doi.org/10.1109/ISCAS.1993.394042", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Bandwidth; Circuits; Clocks; Computer architecture; Delay; Hardware; Process design; Vectors; Very large scale integration", } @InProceedings{Anuradha:1994:CBP, author = "V. K. Anuradha and V. Visvanathan", booktitle = "{Proceedings of 7th International Conference on VLSI Design}", title = "A {CORDIC} based programmable {DXT} processor array", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "343--348", year = "1994", DOI = "https://doi.org/10.1109/ICVD.1994.282716", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Communication switching; Computer architecture; DH-HEMTs; Discrete cosine transforms; Discrete transforms; Equations; Integrated circuit interconnections; Switches; Very large scale integration", } @Article{Arguello:1994:PAF, author = "F. Arguello and J. D. Bruguera and R. Doallo and E. L. Zapata", title = "Parallel architecture for fast transforms with trigonometric kernel", journal = j-IEEE-TRANS-PAR-DIST-SYS, volume = "5", number = "10", pages = "1091--1099", month = oct, year = "1994", CODEN = "ITDSEO", ISSN = "1045-9219 (print), 1558-2183 (electronic)", ISSN-L = "1045-9219", bibdate = "Fri Apr 11 15:20:39 MDT 1997", bibsource = "Compendex database; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib", acknowledgement = ack-nhfb, affiliation = "Universidad Santiago de Compostela", affiliationaddress = "Santiago de Compostela, Spain", classification = "722.1; 722.4; 723.1; 921.3; C4190 (Other numerical methods); C4230M (Multiprocessor interconnection); C4240P (Parallel programming and algorithm theory); C5220P (Parallel architecture); C5440 (Multiprocessor systems and techniques)", corpsource = "Dept. of Electron., Santiago de Compostela Univ., Spain", fjournal = "IEEE Transactions on Parallel and Distributed Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=71", journalabr = "IEEE Trans Parallel Distrib Syst", keywords = "Algorithms; Approximation theory; architectures; butterflies; Cellular arrays; circular CORDIC rotator; Complex Valued Fourier; computation; Computational methods; Computer architecture; Computer operating systems; constant; Constant geometry architecture; CORDIC rotator; Cosine Transform; cycle loss; data recirculations; Fast Fourier transforms; fast orthogonal transforms; fast transforms; Fast transforms; Fourier transforms; Geometry; geometry flow; hardware; Hartley Transform; interconnection networks; kernel; mathematics computing; modification; multiprocessor; parallel; parallel algorithms; parallel architecture; Parallel processing systems; partitioned parallel architecture; perfect unshuffle; Pipeline processing systems; Real Valued Fourier Transform; shuffle; Successive doubling algorithms; successive doubling method; systolic; systolic array; Systolic array processors; Transform; transforms; trigonometric; Trigonometric kernels", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bajard:1994:BNH, author = "Jean-Claude Bajard and Sylvanus Kla and Jean-Michel Muller", title = "{BKM}: a New Hardware Algorithm for Complex Elementary Functions", journal = j-IEEE-TRANS-COMPUT, volume = "43", number = "8", pages = "955--963", month = aug, year = "1994", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.295857", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "68M07", MRnumber = "1 294 301", bibdate = "Sat Jan 11 17:44:01 MST 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib; OCLC Proceedings database", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=295857", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", remark = "Selected revised and extended papers from ARITH'11 \cite{Swartzlander:1993:SCA}.", } @InCollection{Clarke:1994:RAC, author = "C. T. Clarke and G. R. Nudd", booktitle = "Mathematics in signal processing {III}. Based on the proceedings of the third {IMA} conference on signal processing, University of Warwick, Coventry, {UK}, December 15-17, 1992", title = "A redundant arithmetic {CORDIC} system with a unit scale factor", publisher = "Oxford: Clarendon Press", pages = "63--71", year = "1994", ISBN = "0-19-853480-9", ISBN-13 = "978-0-19-853480-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0852.65141", acknowledgement = ack-nhfb, keywords = "65T40,65D20,33B10", ZBmath = "922639", } @Article{Hahn:1994:UDF, author = "Helmut Hahn and Dirk Timmermann and Bedrich J. Hosticka and Bernold Rix", title = "A unified and division-free {CORDIC} argument reduction method with unlimited convergence domain including inverse hyperbolic functions.", journal = j-IEEE-TRANS-COMPUT, volume = "43", number = "11", pages = "1339--1344", month = nov, year = "1994", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.324568", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1068.68511", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68M07; Computer architecture; Convergence; Digital arithmetic; Digital signal processing; Hardware; Iterative algorithms; Iterative methods; Pipelines; Signal processing algorithms; Very large scale integration", ZBmath = "1964186", } @InCollection{Hemkumar:1994:JLM, author = "Nariankadu D. Hemkumar and Joseph R. Cavallaro", booktitle = "Applied linear algebra. Proceedings of the {5th SIAM conference, held in Snowbird, UT, USA, June 15--18, 1994}", title = "{Jacobi}-like matrix factorizations with {CORDIC}-based inexact diagonalizations", publisher = "Philadelphia, PA: SIAM", pages = "295--299", year = "1994", ISBN = "0-89871-336-6", ISBN-13 = "978-0-89871-336-7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0819.65054", acknowledgement = ack-nhfb, keywords = "65F15,65Y05", ZBmath = "741156", } @Article{Hemkumar:1994:RLC, author = "Nariankadu D. Hemkumar and Joseph R. Cavallaro", title = "Redundant and on-line {CORDIC} for unitary transformations.", journal = j-IEEE-TRANS-COMPUT, volume = "43", number = "8", pages = "941--954", month = aug, year = "1994", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.295856", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "hdl.handle.net/1911/19948", ZMnumber = "1066.68503", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68M07; Arithmetic; Computer architecture; Delay effects; Eigenvalues and eigenfunctions; Iterative algorithms; Jacobian matrices; Matrix decomposition; Parallel algorithms; Signal processing algorithms; Singular value decomposition", ZBmath = "1964112", } @InProceedings{Hsiao:1994:HTC, author = "Jue-Hsuan Hsiao and Liang-Gee Chen and Tzi-Dar Chiueh and Chun-Te Chen", booktitle = "{1994 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "High throughput {CORDIC}-based systolic array design for the discrete cosine transform", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "85--88 (vol. 2)", year = "1994", DOI = "https://doi.org/10.1109/ISCAS.1994.408911", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Concurrent computing; Convolution; Discrete cosine transforms; Discrete transforms; Fast Fourier transforms; Karhunen-Loeve transforms; Signal processing algorithms; Systolic arrays; Throughput", } @InProceedings{Hsiao:1994:PPC, author = "Shen-Fu Hsiao and Jean-Marc Delosme", booktitle = "{Proceedings of IEEE International Conference on Application Specific Array Processors (ASSAP'94)}", title = "Parallel processing of complex data using quaternion and pseudo-quaternion {CORDIC} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "324--335", year = "1994", DOI = "https://doi.org/10.1109/ASAP.1994.331792", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Concurrent computing; Eigenvalues and eigenfunctions; Iterative algorithms; Linear systems; Matrices; Matrix decomposition; Parallel processing; Quaternions; Signal processing algorithms; Singular value decomposition", } @Article{Huseby:1994:CLG, author = "Sverre H. Huseby and George Matas and Timothy M. Farnum", title = "{CUG393} --- {LL}, {GIFSave}, and {Cordic++}", journal = j-CUJ, volume = "12", type = "CUG New Release", number = "1", pages = "88--??", month = jan, year = "1994", ISSN = "0898-9788", bibdate = "Fri Aug 30 16:52:23 MDT 1996", bibsource = "http://www.cuj.com/cbklist.htm; http://www.math.utah.edu/pub/tex/bib/cccuj.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "C Users Journal", } @InProceedings{Lee:1994:VIC, author = "J.-A. Lee and M. Ahmad", booktitle = "{Proceedings of 4th Great Lakes Symposium on VLSI}", title = "{VLSI} implementation of {CORDIC} angle units", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "144--149", year = "1994", DOI = "https://doi.org/10.1109/GLSV.1994.289979", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Concurrent computing; Difference equations; Encoding; Geometry; Partitioning algorithms; Signal processing; Signal processing algorithms; Very large scale integration", } @InProceedings{Mariatos:1994:FDP, author = "E. P. Mariatos and D. E. Metafas and J. A. Hallas and C. E. Goutis", booktitle = "{Proceedings of IEEE International Symposium on Circuits and Systems --- ISCAS '94}", title = "A fast {DCT} processor, based on special purpose {CORDIC} rotators", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "271--274 (vol. 4)", year = "1994", DOI = "https://doi.org/10.1109/ISCAS.1994.409249", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Discrete cosine transforms; Hardware; HDTV; Image coding; Read only memory; Signal processing; Signal processing algorithms; Throughput", } @InProceedings{Mariatos:1994:RDB, author = "E. P. Mariatos and M. K. Birbas and A. N. Birbas", booktitle = "{Proceedings of IEEE 5th International Workshop on Rapid System Prototyping}", title = "A reconfigurable {DSP} board based on {CORDIC} elements", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "22--25", year = "1994", DOI = "https://doi.org/10.1109/IWRSP.1994.315899", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit testing; Computer architecture; Digital signal processing; Discrete cosine transforms; Field programmable gate arrays; Hardware; Parallel processing; Prototypes; Signal processing algorithms; Time to market", } @InProceedings{Merakos:1994:EMC, author = "P. Merakos and E. Mariatos and M. Birbas and A. Birbas and E. Frantzeskakis and H. Karathanasis", booktitle = "{Proceedings of Twentieth Euromicro Conference. System Architecture and Integration}", title = "Efficient mapping of cepstrum algorithms on a reconfigurable {CORDIC} system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "597--602", year = "1994", DOI = "https://doi.org/10.1109/EURMIC.1994.390353", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cepstrum; Computer architecture; DH-HEMTs; Digital signal processing; Discrete cosine transforms; Filtering algorithms; Frequency; Hardware; Parallel processing; Very large scale integration", } @Article{Meyer-Base:1994:CRD, author = "U. Meyer-Base and A. Meyer-Baese and W. Hilberg", title = "Coordinate Rotation Digital Computer ({CORDIC}) Synthesis for {FPGA}", journal = j-LECT-NOTES-COMP-SCI, volume = "849", pages = "397--??", year = "1994", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Mon May 13 11:52:14 MDT 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/lncs1994.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", } @InBook{Meyer-Bse:1994:CRD, author = "U. Meyer-B{\"a}se and A. Meyer-B{\"a}se and W. Hilberg", booktitle = "Field-Programmable Logic Architectures, Synthesis and Applications", title = "Coordinate Rotation {DIgital} Computer {(CORDIC)} synthesis for {FPGA}", publisher = pub-SV, address = pub-SV:adr, pages = "397--408", year = "1994", DOI = "https://doi.org/10.1007/3-540-58419-6_124", ISBN = "3-540-48783-2", ISBN-13 = "978-3-540-48783-8", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Sarmiento:1994:ICP, author = "R. Sarmiento and K. Eshraghian", booktitle = "{Proceedings of European Design and Test Conference EDAC-ETC-EUROASIC}", title = "Implementation of a {CORDIC} processor for {CFFT} computation in gallium arsenide technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "238--244", year = "1994", DOI = "https://doi.org/10.1109/EDTC.1994.326871", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Australia; Circuits; CMOS technology; Digital signal processing; Fast Fourier transforms; Foundries; Gallium arsenide; Hardware; Signal processing algorithms; Very large scale integration", } @Article{Timmermann:1994:CFP, author = "Dirk Timmermann and B. Rix and Helmut Hahn and Bedrich J. Hosticka", title = "A {CMOS} floating-point vector-arithmetic unit", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "29", number = "5", pages = "634--639", month = may, year = "1994", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/4.284719", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Wed Oct 29 08:36:03 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "This work describes a floating-point arithmetic unit based on the CORDIC algorithm. The unit computes a full set of high level arithmetic and elementary functions: multiplication, division, (co)sine, hyperbolic (co)sine, square root, natural logarithm, inverse (hyperbolic) tangent, vector norm, and phase. The chip has been integrated in 1.6 mu m double-metal n-well CMOS technology and achieves a normalized peak performance of 220 MFLOPS.", acknowledgement = ack-nhfb, affiliation = "Fraunhofer Inst. of Microelectron. Circuits and Syst., Duisburg, Germany", classification = "B1265B (Logic circuits); B2570D (CMOS integrated circuits); C5120 (Logic and switching circuits); C5220P (Parallel architecture); C5230 (Digital arithmetic methods)", fjournal = "IEEE Journal of Solid-State Circuits", keywords = "1.6 Micron; 220 MFLOPS; CORDIC algorithm; Cosine; Division; Double-metal n-well CMOS technology; Floating-point vector-arithmetic unit; Hyperbolic sine; Inverse tangent; Multiplication; Natural logarithm; Phase; Sine; Square root; Vector norm", numericalindex = "Size 1.6E-06 m; Computer speed 2.2E+08 FLOPS", pubcountry = "USA", thesaurus = "CMOS integrated circuits; Digital arithmetic; Integrated logic circuits; Parallel architectures; Pipeline processing; Vector processor systems", } @InProceedings{Wang:1994:CDC, author = "Shaoyun Wang and E. E. Swartzlander", booktitle = "{Proceedings of 1994 37th Midwest Symposium on Circuits and Systems}", title = "Critically damped {CORDIC} algorithm", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "253--256 (vol. 1)", year = "1994", DOI = "https://doi.org/10.1109/MWSCAS.1994.519233", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer simulation; Control systems; Convergence; Read only memory; Sections", } @InProceedings{Wang:1994:SAC, author = "Ling Wang and I. Hartimo", booktitle = "{Proceedings of MELECON '94. Mediterranean Electrotechnical Conference}", title = "Systolic architectures for computing 2-D {DCT} based on {CORDIC} techniques", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "73--76 (vol. 1)", year = "1994", DOI = "https://doi.org/10.1109/MELCON.1994.381141", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Discrete cosine transforms; Home computing; Iterative algorithms; Read only memory; Signal processing; Silicon; Systolic arrays; Very large scale integration", } @InProceedings{Antelo:1995:RCR, author = "E. Antelo and J. D. Bruguera and J. Villalba and E. L. Zapata", booktitle = "{Proceedings of the 12th Symposium on Computer Arithmetic}", title = "Redundant {CORDIC} rotator based on parallel prediction", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "172--179", year = "1995", DOI = "https://doi.org/10.1109/ARITH.1995.465362", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Contracts; Digital filters; Image processing; Iterative algorithms; Performance evaluation; Prediction algorithms; Production; Signal processing; Zinc", } @InProceedings{Chen:1995:CCC, author = "Sau-Gee Chen and Chieh-Chih Li and Yuan-Der Hou", booktitle = "{VLSI Signal Processing, VIII}", title = "Compatible {CORDIC} and {CCM} algorithms for small area realization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "572--578", year = "1995", DOI = "https://doi.org/10.1109/VLSISP.1995.527528", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Convergence; Cost function; Foundries; Hardware; Iterative algorithms; Mathematics; Process design; Read only memory; Very large scale integration", } @InProceedings{Chen:1995:MCD, author = "A. Chen and R. McDanell and M. Boytim and R. Pogue", booktitle = "{Proceedings of GLOBECOM '95}", title = "Modified {CORDIC} demodulator implementation for digital {IF}-sampled receiver", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1450--1454 (vol. 2)", year = "1995", DOI = "https://doi.org/10.1109/GLOCOM.1995.502642", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Demodulation; Digital audio broadcasting; Digital systems; Hardware; Land mobile radio; Mobile communication; Radio spectrum management; Receivers; Very large scale integration", } @InProceedings{Dhar:1995:DUC, author = "A. S. Dhar and S. Banerjee", booktitle = "{Proceedings of the First Regional Conference, IEEE Engineering in Medicine and Biology Society and 14th Conference of the Biomedical Engineering Society of India. An International Meet}", title = "{Doppler} ultrasonograph with {CORDIC} based spectrum analyzer for blood flow velocity estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2/107--2/108", year = "1995", DOI = "https://doi.org/10.1109/RCEMBS.1995.532181", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Analog-digital conversion; Blood; Circuits; Demodulation; Discrete Fourier transforms; Doppler shift; Field programmable gate arrays; Fourier transforms; Signal processing algorithms; Spectral analysis", } @InProceedings{El-Guibaly:1995:HSC, author = "F. El-Guibaly and A. Almulhem and A. Sabaa and D. Shpak", booktitle = "{IEEE Pacific Rim Conference on Communications, Computers, and Signal Processing. Proceedings}", title = "A high speed {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "485--488", year = "1995", DOI = "https://doi.org/10.1109/PACRIM.1995.519575", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational modeling; Computer simulation; Equations; Noise reduction; Performance analysis", } @InProceedings{Freeman:1995:CAD, author = "S. Freeman and M. O'Donnell", booktitle = "{1995 International Conference on Acoustics, Speech, and Signal Processing}", title = "A complex arithmetic digital signal processor using {CORDIC} rotators", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3191--3194 (vol. 5)", year = "1995", DOI = "https://doi.org/10.1109/ICASSP.1995.479563", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Clocks; Digital arithmetic; Digital signal processors; Process design; Random access memory; Read only memory; Registers; Signal design; Signal processing", } @Article{Gotze:1995:AAB, author = "J{\"u}rgen G{\"o}tze and Gerben J. Hekstra", title = "An algorithm and architecture based on orthonormal $ \mu $-rotations for computing the symmetric {EVD}", journal = j-INTEGRATION-VLSI-J, volume = "20", number = "1", pages = "21--39", year = "1995", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/0167-9260(95)00016-X", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Algorithms and parallel VLSI architectures", URL = "https://www.sciencedirect.com/science/article/pii/016792609500016X", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Approximate rotations; Eigenvalue decomposition (EVD); Floating-point {CORDIC} architecture; Jacobi method; Orthonormal \mu -rotations", } @Article{Guo:1995:NCB, author = "Jiun-In Guo and Chi-Min Liu and Chein-Wei Jen", title = "A novel {CORDIC}-based array architecture for the multidimensional discrete {Hartley} transform", journal = j-IEEE-TRANS-CIRCUITS-SYST-2, volume = "42", number = "5", pages = "349--355", year = "1995", CODEN = "ICSPE5", DOI = "https://doi.org/10.1109/82.386175", ISSN = "1057-7130 (print), 1558-125X (electronic)", ISSN-L = "1057-7130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "semanticscholar.org/paper/a9f1ff58421140372b9ec48acae1f69a388431f5", ZMnumber = "0831.65148", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. II: Analog and Digital Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=82", keywords = "65T50,65Y10; Algorithm design and analysis; Computational complexity; Computer architecture; DH-HEMTs; Discrete Fourier transforms; Discrete transforms; Hardware; Kernel; Multidimensional systems; Signal processing algorithms", ZBmath = "800762", } @InProceedings{Hamill:1995:CSF, author = "R. Hamill and J. V. McCanny and R. L. Walke", booktitle = "{VLSI Signal Processing, VIII}", title = "Constant scale factor, on-line {CORDIC} algorithm in the circular coordinate system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "562--571", year = "1995", DOI = "https://doi.org/10.1109/VLSISP.1995.527527", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Delay; Digital arithmetic; Feedback loop; Hardware; Iterative algorithms; Microelectronics; Redundancy; Signal processing algorithms; Vectors; Very large scale integration", } @Article{Hsiao:1995:HCA, author = "Shen-Fu Hsiao and Jean-Marc Delosme", title = "{Householder} {CORDIC} algorithms", journal = j-IEEE-TRANS-COMPUT, volume = "44", number = "8", pages = "990--1001", month = aug, year = "1995", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.403715", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Jul 6 08:01:29 MDT 2011", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=403715", ZMnumber = "1054.68502", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68M07,68W35; Computer errors; Convergence; CORDIC algorithm; Digital arithmetic; Digital signal processing; Iterative algorithms; Matrix decomposition; Multiprocessing systems; Reflection; Signal processing algorithms; Very large scale integration", ZBmath = "1967473", } @Article{Hsiao:1995:HTC, author = "Jue-Hsuan Hsiao and Liang-Gee Ghen and Tzi-Dar Chiueh and Chun-Te Chen", title = "High throughput {CORDIC}-based systolic array design for the discrete cosine transform", journal = j-IEEE-TRANS-CIRCUITS-SYST-VIDEO-TECH, volume = "5", number = "3", pages = "218--225", year = "1995", CODEN = "ITCTEM", DOI = "https://doi.org/10.1109/76.401098", ISSN = "1051-8215 (print), 1558-2205 (electronic)", ISSN-L = "1051-8215", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems for Video Technology", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=76", keywords = "Algorithm design and analysis; Bandwidth; DH-HEMTs; Discrete cosine transforms; Discrete transforms; Fast Fourier transforms; Hardware; Signal processing algorithms; Systolic arrays; Throughput", } @Article{Hu:1995:ECA, author = "Yu Hen Hu and Zhenyang Wu", title = "An efficient {CORDIC} array structure for the implementation of discrete cosine transform", journal = j-IEEE-TRANS-SIG-PROC, volume = "43", number = "1", pages = "331--336", year = "1995", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.365320", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Data processing; Discrete cosine transforms; Discrete Fourier transforms; Fast Fourier transforms; Image coding; Parallel architectures; Signal processing algorithms; Speech coding; Throughput; Transform coding", } @InProceedings{Hwang:1995:VCD, author = "Jeng-Kuang Hwang and Jing-Hsien Chang", booktitle = "{VLSI Signal Processing, VIII}", title = "{VLSI} chip design of a {CORDIC}-based adaptive lattice filter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "368--377", year = "1995", DOI = "https://doi.org/10.1109/VLSISP.1995.527508", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Arithmetic; Chip scale packaging; Filtering; Geophysical measurement techniques; Ground penetrating radar; Lattices; Nonlinear filters; Predictive models; Very large scale integration", } @InProceedings{Kapteijn:1995:IRA, author = "P. Kapteijn and E. Deprettere and L. Timmoneri and A. Farina", booktitle = "{1995 25th European Microwave Conference}", title = "Implementation of the recursive {$ Q R $} algorithm on a $ 2 \times 2 $ {CORDIC} testboard: a case study for radar applications", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "500--505", year = "1995", DOI = "https://doi.org/10.1109/EUMA.1995.337010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive arrays; Concurrent computing; Doppler radar; Interference; Phased arrays; Radar antennas; Radar applications; Radar clutter; Radar signal processing; Testing", } @InProceedings{Lo:1995:NMI, author = "Hao-Yung Lo and Hsiu-Feng Lin and Kuen-Shiuh Yang", booktitle = "{1995 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A new method of implementation of {VLSI} {CORDIC} for sine and cosine computation", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1984--1987 (vol. 3)", year = "1995", DOI = "https://doi.org/10.1109/ISCAS.1995.523810", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Equations; Silicon compounds; Very large scale integration", } @Article{Metafas:1995:FPA, author = "D. E. Metafas and C. E. Goutis", title = "A Floating-Point Advanced {CORDIC} Processor", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "10", number = "1", pages = "53--65", month = jun, year = "1995", CODEN = "JVSPED", DOI = "https://doi.org/10.1007/bf02407026", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "In this paper, a novel architecture of a floating-point digital signal processor is presented. It introduces a single hardware structure with a full set of elementary arithmetic functions which includes sin, cos, tan, arctanh, circular rotation and vectoring, sinh, cosh, tanh, arctanh, hyperbolic rotation and vectoring, square root, logarithm, exponential as well as addition, multiplication and division. The architecture of the processor is based on the COordinate Rotation DIgital Computer (CORDIC) and the Convergence Computing Method (CCM) algorithms for computing arithmetic functions and it is fully parallel and pipelined. Its advanced functionality is achieved without significant increase in hardware, in comparison to ordinary CORDIC processor, and makes it an ideal processing element in high speed multiprocessor applications, e.g. real time Digital Signal Processing (DSP) and computer graphics.", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @InProceedings{Moller:1995:PIC, author = "F. T. Moller and J. B. Andersen and H. R. Jensen and O. Olsen and F. K. Fink", booktitle = "{1995 International Conference on Acoustics, Speech, and Signal Processing}", title = "{PSEUDEC}: implementation of the computation-intensive {PARTRAN} functionality using a dedicated on-line {CORDIC} co-processor", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3207--3210 (vol. 5)", year = "1995", DOI = "https://doi.org/10.1109/ICASSP.1995.479567", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Auditory system; Computational complexity; Computer architecture; Coprocessors; Digital signal processing; Energy consumption; Hardware; Linear predictive coding; Speech", } @InProceedings{Osorio:1995:DLL, author = "R. R. Osorio and E. Antelo and J. D. Bruguera and J. Villalba and E. L. Zapata", booktitle = "{Proceedings The International Conference on Application Specific Array Processors}", title = "Digit on-line large radix {CORDIC} rotator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "246--257", year = "1995", DOI = "https://doi.org/10.1109/ASAP.1995.522929", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Convergence; Delay; Hardware; Iterative algorithms; Military computing; Petroleum; Signal processing algorithms; Silicon; Vectors", } @Article{Paul:1995:EAC, author = "Steffen Paul and J{\"u}rgen G{\"o}tze and Matthias Sauer", title = "Error analysis of {CORDIC}-based {Jacobi} algorithms.", journal = j-IEEE-TRANS-COMPUT, volume = "44", number = "7", pages = "947--951", month = jul, year = "1995", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.392855", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1053.68931", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68W35,68W05; Computational efficiency; Computer architecture; Data structures; Eigenvalues and eigenfunctions; Error analysis; Floating-point arithmetic; Jacobian matrices; Matrix decomposition; Symmetric matrices; Very large scale integration", ZBmath = "1967495", } @PhdThesis{Suarez:1995:CAA, author = "Elisardo Antelo Su{\'a}rez", title = "Algoritmos y arquitecturas {CORDIC} con aritm{\'e}tica redundante para procesamiento de alta velocidad ({Spanish}) [{CORDIC} algorithms and architectures with redundant arithmetic for high-speed processing]", type = "Tesis doctorales", school = "Universidade de Santiago de Compostela", address = "Santiago de Compostela, Spain", pages = "ix + 210", year = "1995", ISBN = "84-8121-348-9", ISBN-13 = "978-84-8121-348-5", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-algorithms-architectures-with-redundant/docview/304224973/se-2", acknowledgement = ack-nhfb, keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", language = "Spanish", ris-m1 = "C519384", } @InProceedings{Villalba:1995:CAP, author = "J. Villalba and J. A. Hidalgo and E. L. Zapata and E. Antelo and J. D. Bruguera", booktitle = "{Proceedings The International Conference on Application Specific Array Processors}", title = "{CORDIC} architectures with parallel compensation of the scale factor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "258--269", year = "1995", DOI = "https://doi.org/10.1109/ASAP.1995.522930", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algebra; Arithmetic; Computer architecture; Concurrent computing; Delay; Filtering; Image processing; Iterative algorithms; Matrix decomposition; Vectors", } @InProceedings{Wang:1995:MCA, author = "Shaoyun Wang and E. E. Swartzlander", booktitle = "{1995 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Merged {CORDIC} algorithm", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1988--1991 (vol. 3)", year = "1995", DOI = "https://doi.org/10.1109/ISCAS.1995.523811", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Computational modeling; Equations; Hardware; Software algorithms", } @InProceedings{Zhou:1995:HSD, author = "Feng Zhou and P. Kornerup", booktitle = "{Proceedings of the 12th Symposium on Computer Arithmetic}", title = "High speed {DCT\slash IDCT} using a pipelined {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--187", year = "1995", DOI = "https://doi.org/10.1109/ARITH.1995.465361", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer science; Delay effects; Digital TV; Discrete cosine transforms; Discrete transforms; HDTV; Image coding; Mathematics; Transform coding; Video compression", } @InProceedings{Andraka:1996:BHP, author = "R. J. Andraka", editor = "????", booktitle = "{Proceedings of Design SuperCon '96, Jan 1996}", title = "Building a High Performance Bit Serial Processor in an {FPGA}", publisher = "????", address = "????", pages = "5.1--5.21", year = "1996", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 11:00:40 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InBook{Antelo:1996:HRC, author = "E. Antelo and J. D. Bruguera and Tom{\'a}s Lang and J. Villalba and E. L. Zapata", booktitle = "Euro-Par 96 Parallel Processing", title = "High radix {CORDIC} rotation based on selection by rounding", publisher = pub-SV, address = pub-SV:adr, pages = "155--164", year = "1996", DOI = "https://doi.org/10.1007/bfb0024698", ISBN = "3-540-70636-4", ISBN-13 = "978-3-540-70636-6", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Antelo:1996:UMR, author = "Elisardo Antelo and Javier D. Bruguera and Emilio L. Zapata", title = "Unified mixed radix 2--4 redundant {CORDIC} processor.", journal = j-IEEE-TRANS-COMPUT, volume = "45", number = "9", pages = "1068--1073", month = sep, year = "1996", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.537131", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "semanticscholar.org/paper/6e377a94ae2b2b74ef20255014e1b3451a07bc73", ZMnumber = "1068.68508", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68M07,68W35; Algorithm design and analysis; Computer architecture; Computer Society; Delay; Digital arithmetic; Digital signal processing; Iterative algorithms; Pipelines; Signal design; Signal processing algorithms", ZBmath = "1966792", } @Article{Bruguera:1996:CBP, author = "J. D. Bruguera and N. Guil and Tom{\'a}s Lang and J. Villalba and E. L. Zapata", title = "{CORDIC} based parallel\slash pipelined architecture for the {Hough} transform", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "12", number = "3", pages = "207--221", month = jun, year = "1996", DOI = "https://doi.org/10.1007/bf00924986", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @InProceedings{Codenie:1996:IDA, author = "J. Codenie and X. Wang and Qiu Xing Zhi and J. Vlietinck and P. Lambrecht and J. Vandewege and K. {De Meyer} and W. Trog", booktitle = "{Proceedings of the 39th Midwest Symposium on Circuits and Systems}", title = "Implementation of a digital amplitude detector based on the {CORDIC} transform", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "860--863 (vol. 2)", year = "1996", DOI = "https://doi.org/10.1109/MWSCAS.1996.588052", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Availability; Bit rate; Costs; Detectors; Digital signal processing; Equations; Gain control; Modulation; Signal processing algorithms; Topology", } @Article{Dawid:1996:DCA, author = "Herbert Dawid and Heinrich Meyr", title = "The Differential {CORDIC} Algorithm: Constant Scale Factor Redundant Implementation Without Correcting Iterations", journal = j-IEEE-TRANS-COMPUT, volume = "45", number = "3", pages = "307--318", month = mar, year = "1996", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.485569", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Jul 6 19:47:09 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=485569", ZMnumber = "1057.68740", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68W05,68W35,68M07; Computational complexity; Computer architecture; Delay; Digital arithmetic; Iterative algorithms; Iterative methods; Logic; Parallel architectures; Signal processing algorithms; Student members", ZBmath = "1966848", } @InProceedings{El-Guibaly:1996:HSC, author = "Fayez El-Guibaly and A. Sabaa", title = "High-speed {CORDIC} algorithm", crossref = "Luk:1996:PSC", pages = "512--512", year = "1996", DOI = "https://doi.org/10.1117/12.255460", bibdate = "Tue Jun 14 18:26:06 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } @InProceedings{Hampson:1996:PSB, author = "Grant Hampson and Andrew Paplin{\'s}ki", booktitle = "{Fourth International Symposium on Signal Processing and Its Applications, 25--30 August 1996, Gold Coast, QLD, Australia}", title = "Phase Shift Beamforming Using {CORDIC}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "684--687", year = "1996", ISBN = "0-7803-4114-7", ISBN-13 = "978-0-7803-4114-2", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/615135/", acknowledgement = ack-nhfb, keywords = "Array signal processing; Australia; Clocks; Filtering; Frequency; Sampling methods; Sensor arrays; Sensor systems; Signal processing; Throughput", } @Article{Hsiao:1996:PSV, author = "Shen-Fu Hsiao and Jean-Marc Delosme", title = "Parallel singular value decomposition of complex matrices using multidimensional {CORDIC} algorithms", journal = j-IEEE-TRANS-SIG-PROC, volume = "44", number = "3", pages = "685--697", year = "1996", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.489041", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Arithmetic; Concurrent computing; Eigenvalues and eigenfunctions; Jacobian matrices; Matrix decomposition; Multidimensional signal processing; Multidimensional systems; Signal processing algorithms; Singular value decomposition; Throughput", } @Article{Hu:1996:NIC, author = "Yu Hen Hu and Homer H. M. Chern", title = "A novel implementation of {CORDIC} algorithm using backward angle recoding ({BAR}).", journal = j-IEEE-TRANS-COMPUT, volume = "45", number = "12", pages = "1370--1378", month = dec, year = "1996", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.545967", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "68M07", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "digital.library.wisc.edu/1793/9178", ZMnumber = "1058.68500", abstract = "We propose a backward angle recoding (BAR) method to eliminate redundant CORDIC elementary rotations and hence expedite the CORDIC rotation computation. We prove that for each of the linear, circular, and hyperbolic CORDIC rotations, the use of BAR guarantees more than 50\% reduction of elementary CORDIC rotations provided the scaling factor needs not be kept constant. The proposed BAR algorithm is simple, and amenable to VLSI implementation. Taking practical applications into consideration, we discuss how to incorporate convergence range enhancement procedure with BAR, and how easy it is to devise a constant-scaling-factor BAR algorithm while still enjoying 25\% reduction of CORDIC elementary rotations.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "convergence; coprocessors; delay; digital arithmetic; digital signal processing; lattices; senior members; signal processing algorithms; throughput; very large scale integration", ZBmath = "1966744", } @Article{Kantabutra:1996:HCE, author = "Vitit Kantabutra", title = "On hardware for computing exponential and trigonometric functions", journal = j-IEEE-TRANS-COMPUT, volume = "45", number = "3", pages = "328--339", month = mar, year = "1996", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.485571", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Jul 6 19:47:09 MDT 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1990.bib", URL = "https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=485571", abstract = "This paper presents new, fast hardware for computing the exponential function, sine, and cosine. The main new idea is to use low-precision arithmetic components to approximate high precision computations, and then to correct very quickly the approximation error periodically so that the effect is to get high precision computation at near low-precision speed. The algorithm used in the paper is a nontrivial modification of the well-known CORDIC algorithm, and might be applicable to the computation of other functions than the ones presented.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", remark-1 = "From page 328: ``The main new idea used in this paper is to use low-precision arithmetic components to approximate high-precision results, and then to correct the approximation error very quickly from time to time using high-precision arithmetic components''.", remark-2 = "From page 329: ``we may limit our domain $x$ for the exponential function to the range $[0, log_e 2)$, where $log_e 2 \approx 0.693$. And for the sine and cosine functions we can limit our domain to $[O, \pi/2]$.''", remark-3 = "From page 330: ``The circuits presented in this paper takes practically $\theta(n \sqrt{n})$ chip area.''", } @Article{Kar:1996:CBU, author = "D. C. Kar and V. V. Bapeswara Rao", title = "A {CORDIC}-based unified systolic architecture for sliding window applications of discrete transforms", journal = j-IEEE-TRANS-SIG-PROC, volume = "44", number = "2", pages = "441--444", year = "1996", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.485943", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Computer science; Digital signal processing; Discrete cosine transforms; Discrete Fourier transforms; Discrete transforms; Fourier transforms; Hardware; Neodymium; Signal processing algorithms; Virtual manufacturing", } @InProceedings{Krieger:1996:IKC, author = "C. Krieger and Bedrich J. Hosticka", editor = "????", booktitle = "{IEE} Proceedings Computer Digital Techniques", title = "Inverse kinematics computations with modified {CORDIC} iterations", volume = "143(1)", publisher = "????", address = "????", pages = "87--92", year = "1996", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Oct 29 07:59:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Li:1996:NRC, author = "Chieh-Chih Li and Sau-Gee Chen", booktitle = "{1996 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "New redundant {CORDIC} algorithms with fast variable scale factor compensations", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "264--267 (vol. 4)", year = "1996", DOI = "https://doi.org/10.1109/ISCAS.1996.541953", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Difference equations; Digital signal processing; Read only memory; Silicon", } @InProceedings{Nikolaidis:1996:CVC, author = "S. S. Nikolaidis and D. E. Metafas", booktitle = "{Proceedings of Third International Conference on Electronics, Circuits, and Systems}", title = "{CORDIC} versus conventional logic for realisation of normalised lattice all-pass filters", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "538--541 (vol. 1)", year = "1996", DOI = "https://doi.org/10.1109/ICECS.1996.582924", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Delay; Filters; Hardware; Lattices; Logic; Physics computing; Pipelines; Protection; Throughput", } @InProceedings{Simon:1996:CBA, author = "S. Simon and P. Rieder and C. Schimpfle and J. A. Nossek", booktitle = "{1996 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{CORDIC}-based architectures for the efficient implementation of discrete wavelet transforms", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "77--80 (vol. 4)", year = "1996", DOI = "https://doi.org/10.1109/ISCAS.1996.541948", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuit synthesis; Discrete wavelet transforms; Filter bank; Image processing; Lattices; Signal analysis; Transversal filters; Very large scale integration; Wavelet transforms", } @InProceedings{Vanderaar:1996:TPS, author = "M. Vanderaar and R. Bexten", booktitle = "{Proceedings of the 39th Midwest Symposium on Circuits and Systems}", title = "Transmit pulse shaping filters and {CORDIC} algorithm based precompensation for digital satellite communications", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1219--1222 (vol. 3)", year = "1996", DOI = "https://doi.org/10.1109/MWSCAS.1996.593119", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Bit error rate; Computer architecture; Filters; Programmable logic devices; Pulse shaping methods; Satellite communication; Table lookup; Throughput; Transmitters", } @InProceedings{Villalba:1996:RVC, author = "J. Villalba and J. C. Arrabal and E. L. Zapata and E. Antelo and J. D. Bruguera", booktitle = "{Proceedings of International Conference on Application Specific Systems, Architectures and Processors: ASAP '96}", title = "Radix-4 vectoring {CORDIC} algorithm and architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "55--64", year = "1996", DOI = "https://doi.org/10.1109/ASAP.1996.542801", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algebra; Application software; Computer architecture; Convergence; Eigenvalues and eigenfunctions; Equations; Filters; Image processing; Iterative algorithms", } @InProceedings{Vuori:1996:IDP, author = "J. Vuori", booktitle = "{1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96}", title = "Implementation of a digital phase-locked loop using {CORDIC} algorithm", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "164--167 (vol. 4)", year = "1996", DOI = "https://doi.org/10.1109/ISCAS.1996.541925", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Control systems; Demodulation; Frequency shift keying; Frequency synchronization; Phase locked loops; Phase noise; Signal generators; Tracking loops; Very large scale integration", } @InProceedings{Vuori:1996:IEP, author = "Jarkko Vuori and Jorma Skytt{\"a}", booktitle = "{1996 8th European Signal Processing Conference (EUSIPCO 1996), 10--13 September 1996, Trieste, Italy}", title = "Implementation of a {European} paging system receiver using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "1996", ISBN = "88-86179-83-9", ISBN-13 = "978-88-86179-83-6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7082948/", acknowledgement = ack-nhfb, keywords = "Demodulation; Europe; Filtering algorithms; Frequency shift keying; Mathematical model; Phase locked loops; Receivers", } @InProceedings{Wang:1996:CDC, author = "Shaoyun Wang and E. E. Swartzlander", booktitle = "{Conference Record of The Thirtieth Asilomar Conference on Signals, Systems and Computers}", title = "The critically damped {CORDIC} algorithm for {$ Q R $} decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "908--911 (vol. 2)", year = "1996", DOI = "https://doi.org/10.1109/ACSSC.1996.599076", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer industry; Equations; Image processing; Matrix decomposition; Read only memory; Signal processing algorithms; Very large scale integration", } @InProceedings{Wang:1996:GPC, author = "Shaoyun Wang and V. Piuri and E. E. Swartzlander", booktitle = "{1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings}", title = "Granularly-pipelined {CORDIC} processors for sine and cosine generators", volume = "6", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3298--3301 (vol. 6)", year = "1996", DOI = "https://doi.org/10.1109/ICASSP.1996.550582", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Computer applications; Computer architecture; Constraint optimization; Costs; Guidelines; Physics computing; Pipeline processing; Throughput; Very large scale integration", } @InProceedings{Wang:1996:UVC, author = "Shaoyun Wang and V. Piuri and E. E. Swartzlander", booktitle = "{Proceedings of the 39th Midwest Symposium on Circuits and Systems}", title = "A unified view of {CORDIC} processor design", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "852--855 (vol. 2)", year = "1996", DOI = "https://doi.org/10.1109/MWSCAS.1996.588050", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Complexity theory; Computer applications; Computer architecture; Design methodology; Guidelines; Iterative algorithms; Power engineering computing; Process design; Vectors", } @MastersThesis{Al-Sawi:1997:HHP, author = "Ahmad Nour Al-Islam Al-Sawi", title = "{HCORDIC}: a high-performance {CORDIC} algorithm", type = "{M.S.} thesis", school = "King Fahd University of Petroleum and Minerals", address = "Dhahran, Saudi Arabia", pages = "130", year = "1997", ISBN = "0-591-45493-9", ISBN-13 = "978-0-591-45493-2", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/hcordic-high-performance-cordic-algorithm/docview/304432028/se-2", acknowledgement = ack-nhfb, keywords = "0984:Computer science; Applied sciences; Computer science", ris-m1 = "1385303", } @Article{Antelo:1997:EAR, author = "E. Antelo and J. D. Bruguera and Tom{\'a}s Lang and E. L. Zapata", title = "Error analysis and reduction for angle calculation using the {CORDIC} algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "46", number = "11", pages = "1264--1271", month = nov, year = "1997", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.644300", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Computer architecture; Costs; Error analysis; Fixed-point arithmetic; Hardware; Iterative algorithms; Proposals; Roundoff errors; Signal processing algorithms; Very large scale integration", } @Article{Antelo:1997:HPR, author = "E. Antelo and J. Villalba and J. D. Bruguera and E. L. Zapata", title = "High-performance rotation architectures based on the radix-4 {CORDIC} algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "46", number = "8", pages = "855--870", month = aug, year = "1997", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.609275", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Algebra; Computer architecture; Delay; Digital arithmetic; Hardware; Image processing; Iterative algorithms; Vectors; Very large scale integration", } @InProceedings{Aoki:1997:HRC, author = "T. Aoki and H. Nogi and T. Higuchi", booktitle = "{1997 IEEE Workshop on Signal Processing Systems. SiPS 97 Design and Implementation formerly VLSI Signal Processing}", title = "High-radix {CORDIC} algorithms for {VLSI} signal processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "183--192", year = "1997", DOI = "https://doi.org/10.1109/SIPS.1997.626115", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Convergence; Delay; Digital signal processors; Equations; Hardware; Signal generators; Signal processing algorithms; Very large scale integration", } @InProceedings{Chen:1997:CPP, author = "Jie Chen and K. J. Ray Liu", booktitle = "{1997 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A complete pipelined parallel {CORDIC} architecture for motion estimation", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2801--2804 (vol. 4)", year = "1997", DOI = "https://doi.org/10.1109/ISCAS.1997.612907", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Computer architecture; Discrete cosine transforms; Educational institutions; Hardware; Motion estimation; Systolic arrays; Throughput; Very large scale integration; Video codecs", } @InProceedings{Chen:1997:FPP, author = "Jie Chen and K. J. Ray Liu", booktitle = "{Proceedings of International Conference on Image Processing}", title = "A fully pipelined parallel {CORDIC} architecture for half-pel motion estimation", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "574--577 (vol. 2)", year = "1997", DOI = "https://doi.org/10.1109/ICIP.1997.638836", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Discrete cosine transforms; Interpolation; Motion estimation; Parallel architectures; Throughput; Video codecs", } @InProceedings{Haller:1997:HIS, author = "B. Haller and M. Streiff and U. Fleisch and R. Zimmermann", booktitle = "{1997 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Hardware implementation of a systolic antenna array signal processor based on {CORDIC} arithmetic", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4141--4144 (vol. 5)", year = "1997", DOI = "https://doi.org/10.1109/ICASSP.1997.604858", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive arrays; Antenna arrays; Application specific integrated circuits; Hardware; Minimization; Radar antennas; Real time systems; Signal processing algorithms; Sonar; Systolic arrays", } @InProceedings{Hsiao:1997:VID, author = "Shen-Fu Hsiao and Jen-Yin Chen", booktitle = "{1997 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{VLSI} implementation of digit-recurrent {CORDIC} with constant scaling factor", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2068--2071 (vol. 3)", year = "1997", DOI = "https://doi.org/10.1109/ISCAS.1997.621563", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Application software; Cost function; Digital arithmetic; Hardware; Propagation delay; Software libraries; Standards development; Throughput; Very large scale integration", } @InProceedings{Hsiao:1997:VIH, author = "Shen-Fu Hsiao and Jen-Yin Chen", booktitle = "{Proceedings of Technical Papers. International Symposium on VLSI Technology, Systems, and Applications}", title = "{VLSI} Implementation of a High-Throughput {CORDIC} Processor for Both Angle Calculation and Vector Rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "227--231", year = "1997", DOI = "https://doi.org/10.1109/VTSA.1997.614763", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Application software; Computer graphics; Delay; Digital arithmetic; Digital signal processing; Hardware; High performance computing; Throughput; Very large scale integration", } @InProceedings{Lang:1997:CBC, author = "Tom{\'a}s Lang and E. Antelo", booktitle = "{Proceedings IEEE International Conference on Application-Specific Systems, Architectures and Processors}", title = "{CORDIC}-based computation of {ArcCos} and {ArcSin}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "132--143", year = "1997", DOI = "https://doi.org/10.1109/ASAP.1997.606820", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Contracts; Convergence; Delay; Hardware; USA Councils", } @InProceedings{Lang:1997:CVA, author = "Tom{\'a}s Lang and Elisardo Antelo", title = "{CORDIC} Vectoring with Arbitrary Target Value", crossref = "Lang:1997:ISC", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "108--115", year = "1997", DOI = "https://doi.org/10.1109/ARITH.1997.614885", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; OCLC Proceedings database", URL = "http://www.acsel-lab.com/arithmetic/arith13/papers/ARITH13_Lang.pdf", acknowledgement = ack-nhfb, keywords = "ARITH-13; Contracts; Convergence; Equations; Kinematics", } @InProceedings{Li:1997:RRC, author = "Chieh-Chih Li and Sau-Gee Chen", booktitle = "{1997 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "A radix-4 redundant {CORDIC} algorithm with fast on-line variable scale factor compensation", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "639--642 (vol. 1)", year = "1997", DOI = "https://doi.org/10.1109/ICASSP.1997.599849", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Art; Costs; Digital signal processing; Hardware; Laboratories; Very large scale integration", } @Article{Lo:1997:UCA, author = "Hao-Yung Lo", title = "A unidirectional {CORDIC} algorithm for angle computation and rotation", journal = j-J-CHINESE-INST-ENG, volume = "20", number = "6", pages = "693--700", month = nov, year = "1997", CODEN = "CKCKDZ", DOI = "https://doi.org/10.1080/02533839.1997.9741878", ISSN = "2158-7299", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan", } @InProceedings{Ma:1997:PCBa, author = "Jun Ma and E. F. Deprettere and K. K. Parhi", booktitle = "{1997 IEEE Workshop on Signal Processing Systems. SiPS 97 Design and Implementation formerly VLSI Signal Processing}", title = "Pipelined {CORDIC} based {QRD-RLS} adaptive filtering using matrix lookahead", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "131--140", year = "1997", DOI = "https://doi.org/10.1109/SIPS.1997.626110", ISBN = "0-7803-3806-5", ISBN-13 = "978-0-7803-3806-7", ISSN = "1520-6130 (print), 2374-7390 (electronic)", ISSN-L = "1520-6130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Adaptive signal processing; Arithmetic; Array signal processing; Band pass filters; Design methodology; Digital filters; Electronic mail; Feedback loop; Filtering algorithms; IIR filters; Jacobian matrices; Lattices; Least squares methods; Pipeline processing; Signal processing algorithms; USA Councils; Very large scale integration", } @InProceedings{Ma:1997:PCBb, author = "J. P. Ma and K. K. Parhi and E. F. Deprettere", booktitle = "{1997 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "Pipelining of {CORDIC} based {IIR} digital filters", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "643--646", year = "1997", DOI = "https://doi.org/10.1109/ICASSP.1997.599850", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Adaptive signal processing; Arithmetic; Array signal processing; Band pass filters; Design methodology; Digital filters; Electronic mail; Feedback loop; Filtering algorithms; IIR filters; Jacobian matrices; Lattices; Least squares methods; Pipeline processing; Signal processing algorithms; USA Councils; Very large scale integration", } @Book{Muller:1997:EFA, author = "Jean-Michel Muller", title = "Elementary Functions: Algorithms and Implementation", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xv + 204", year = "1997", ISBN = "0-8176-3990-X", ISBN-13 = "978-0-8176-3990-7", LCCN = "QA331.M866 1997", bibdate = "Fri Jul 25 12:00:55 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", price = "US\$59.95", URL = "http://www.birkhauser.com/cgi-win/ISBN/0-8176-3990-X; http://www.ens-lyon.fr/~jmmuller/book_functions.html", abstract = "The elementary functions (sine, cosine, tan, exponentials, and logarithms) are the most commonly used mathematical functions in science and engineering. Computing these functions quickly and accurately is a major goal in computer arithmetic. This new book gives the concepts and background necessary to understand and build algorithms for computing these functions, presenting and structuring the algorithms (hardware-oriented as well as software-oriented), and discusses issues related to the accurate floating-point implementation. The purpose is not to give ``cookbook recipes'' that allow one to implement some given function, but to provide the reader with the knowledge that is necessary to build, or adapt, algorithms to their specific computing environment. The book provides an up-to-date presentation of the information needed to understand and accurately use mathematical functions and algorithms in computational work and design. Graduates, professionals and researchers in scientific computing, software engineering and computer engineering will find the book a useful reference and resource.", acknowledgement = ack-nhfb, shorttableofcontents = "1: Introduction \\ 2: Computer arithmetic \\ I: Algorithms based on polynomial approximation and/or table lookup \\ 3: Polynomial approximations \\ 4: Table-based methods \\ II: Shift-and-Add algorithms \\ 5: Shift-and-Add algorithms 6: The CORDIC algorithm \\ 7: Other shift-and-add algorithms \\ III: Range reduction, final rounding and exceptions \\ 8: Range reduction \\ 9: Final rounding \\ 10: Miscellaneous", tableofcontents = "1 Introduction / 1 \\ 2 Computer Arithmetic / 9 \\ 2.1 Floating-Point Arithmetic / 9 \\ 2.1.1 Floating-point formats / 9 \\ 2.1.2 Rounding modes / 10 \\ 2.1.3 Subnormal numbers and exceptions / 12 \\ 2.1.4 ULPs / 13 \\ 2.1.5 Testing your computational environment / 13 \\ 2.2 Redundant Number Systems / 13 \\ 2.2.1 Signed-digit number systems / 14 \\ 2.2.2 Radix-2 redundant number systems / 15 \\ I Algorithms Based on Polynomial Approximation and/or Table Lookup / 19 \\ 3 Polynomial Approximations / 21 \\ 3.1 Least Squares Polynomial Approximations / 22 \\ 3.1.1 Legendre polynomials / 23 \\ 3.1.2 Chebyshev polynomials / 23 \\ 3.1.3 Jacobi polynomials / 23 \\ 3.2 Least Maximum Approximations / 24 \\ 3.3 Speed of Convergence / 31 \\ 3.4 Rational Approximations / 34 \\ 3.5 Actual Computation / 38 \\ 3.6 Example: the Cyrix FasMath Processor / 41 \\ 3.7 Algorithms and Architectures / 43 \\ 3.7.1 The E-Method / 45 \\ 3.7.2 Estrin's Method / 47 \\ 3.8 Miscellaneous / 47 \\ 4 Table-Based Methods / 51 \\ 4.1 Introduction / 51 \\ 4.2 Table-Driven Algorithms / 53 \\ 4.2.1 Tang's algorithm for $\exp(x)$ in IEEE floating-point arithmetic / 55 \\ 4.2.2 $\ln(x)$ on $[1,2]$ / 57 \\ 4.2.3 $\sin(x)$ on $[0,\pi/4]$ / 58 \\ 4.3 Gal's Accurate Tables Method / 58 \\ 4.4 Methods Requiring Specialized Hardware / 62 \\ 4.4.1 Wong and Goto, logarithm / 62 \\ 4.4.2 Wong and Goto, exponential / 65 \\ II Shift-and-Add Algorithms / 69 \\ 5 Shift-and-Add algorithms / 71 \\ 5.1 The Restoring and Nonrestoring Algorithms / 73 \\ 5.2 Simple Algorithms for Exponentials and Logarithms / 77 \\ 5.2.1 The restoring algorithm for exponentials / 77 \\ 5.2.2 The restoring algorithm for logarithms / 79 \\ 5.3 Faster Algorithms / 81 \\ 5.3.1 Faster computation of exponentials / 81 \\ 5.3.2 Faster computation of logarithms / 87 \\ 5.4 Baker's Predictive Algorithm / 90 \\ 5.5 Bibliographic notes / 98 \\ 6 The CORDIC Algorithm / 101 \\ 6.1 Introduction / 101 \\ 6.2 The Conventional Iteration / 101 \\ 6.3 Scale Factor Compensation / 107 \\ 6.4 CORDIC With Redundant Number Systems / 109 \\ 6.4.1 Signed-digit implementation / 111 \\ 6.4.2 Carry-save implementation / 111 \\ 6.4.3 The variable scale factor problem / 112 \\ 6.5 The Double Rotation Method / 112 \\ 6.6 Branching CORDIC / 115 \\ 6.7 Differential CORDIC / 118 \\ 6.8 Computation of $\cos^{-1}$ and $\sin^{-1}$ / 122 \\ 6.9 Variations on CORDIC / 124 \\ 7 Other Shift-and-Add Algorithms / 127 \\ 7.1 High-Radix Algorithms / 127 \\ 7.1.1 Ercegovac's radix-16 algorithms / 127 \\ 7.2 The BKM Algorithm / 131 \\ 7.2.1 The BKM iteration / 133 \\ 7.2.2 Computation of the exponential function (E-mode) / 133 \\ 7.2.3 Computation of the logarithm function (L-mode) / 137 \\ 7.2.4 Application to the computation of elementary functions / 138 \\ III Range Reduction, Final Rounding and Exceptions / 141 \\ 8 Range Reduction / 143 \\ 8.1 Introduction / 143 \\ 8.2 Cody and Waite's Method for Range Reduction / 148 \\ 8.3 Worst Cases for Range Reduction / 149 \\ 8.3.1 A few basic notions on continued fractions / 149 \\ 8.3.2 Finding worst cases using continued fractions / 151 \\ 8.4 The Payne and Hanek Algorithm / 154 \\ 8.5 The Modular Algorithm / 158 \\ 8.5.1 Fixed-point reduction / 158 \\ 8.5.2 Floating-point reduction / 161 \\ 8.5.3 Architectures for Modular Reduction / 161 \\ 9 Final Rounding / 163 \\ 9.1 Introduction / 163 \\ 9.2 Monotonicity / 164 \\ 9.3 Exact Rounding: Presentation of the Problem / 165 \\ 9.4 Some Experiments / 168 \\ 9.5 A ``Probabilistic'' Approach / 168 \\ 9.6 Upper Bounds on $m$ / 171 \\ 9.6.1 Frequency of failures / 173 \\ 9.6.2 Computing with one million bits / 173 \\ 10 Miscellaneous / 175 \\ 10.1 Exceptions / 175 \\ 10.1.1 NaNs / 176 \\ 10.1.2 Exact results / 177 \\ 10.2 Notes on $x^y$ / 178 \\ 10.3 Multiple Precision / 180", } @InProceedings{Nahm:1997:FDS, author = "Seunghyeon Nahm and Wonyong Sung", booktitle = "{1997 IEEE International Conference on Acoustics, Speech, and Signal Processing}", title = "A fast direction sequence generation method for {CORDIC} processors", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "635--638 (vol. 1)", year = "1997", DOI = "https://doi.org/10.1109/ICASSP.1997.599848", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Binary sequences; Demodulation; Feedback control; Hardware; Iterative algorithms; Linear approximation; Pipeline processing; Vectors; Very large scale integration", } @InProceedings{P:1997:NCB, author = "S. Kumar P and K. M. M. Prabhu", booktitle = "{Proceedings High Performance Computing on the Information Superhighway. HPC Asia '97}", title = "Novel {CORDIC}-based systolic arrays for the {DFT} and the {DHT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "547--551", year = "1997", DOI = "https://doi.org/10.1109/HPC.1997.592206", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Clocks; Computer architecture; Digital signal processing; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; Signal processing algorithms; Systolic arrays; Very large scale integration", } @InProceedings{Schimpfle:1997:LPC, author = "C. V. Schimpfle and S. Simon and Josef A. Nossek", booktitle = "{Proceedings IEEE International Conference on Application-Specific Systems, Architectures and Processors}", title = "Low power {CORDIC} implementation using redundant number representation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "154--161", year = "1997", DOI = "https://doi.org/10.1109/ASAP.1997.606822", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Capacitance; Circuit synthesis; Design automation; Design methodology; Design optimization; Energy consumption; Hardware; High level synthesis; Power dissipation", } @InBook{Timmermann:1997:URC, author = "Dirk Timmermann and Steffen Dolling", booktitle = "{VLSI}: Integrated Systems on Silicon", title = "Unfolded Redundant {CORDIC} {VLSI} Architectures With Reduced Area and Power Consumption", publisher = "Springer US", pages = "251--262", year = "1997", DOI = "https://doi.org/10.1007/978-0-387-35311-1_21", ISBN = "0-387-35311-9", ISBN-13 = "978-0-387-35311-1", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Misc{Underwood:1997:HDC, author = "J. Underwood and B. Edwards", title = "How do calculators calculate trigonometric functions?", howpublished = "Educational Resources Information Center (ERIC) document ED461519", year = "1997", bibdate = "Tue Nov 11 19:58:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "http://www.math.ufl.edu/~haven/papers/paper.pdf; https://eric.ed.gov/?q=ED461519&id=ED461519", abstract = "How does your calculator quickly produce values of trigonometric functions? You might be surprised to learn that it does not use series or polynomial approximations, but rather the so-called CORDIC method. This paper will focus on the geometry of the CORDIC method, as originally developed by Volder in 1959. This algorithm is a wonderful application of sequences and will be demonstrated on the TI-86 graphing calculator. A rigorous convergence proof for the CORDIC method is also provided.", acknowledgement = ack-nhfb, remark = "URL no longer resolvable at ufl.edu, and not found at archive.org; PDF file under reconstruction at ERIC site.", } @InProceedings{Villalba:1997:LLW, author = "J. Villalba and Tom{\'a}s Lang", booktitle = "{Proceedings IEEE International Conference on Application-Specific Systems, Architectures and Processors}", title = "Low latency word serial {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "124--131", year = "1997", DOI = "https://doi.org/10.1109/ASAP.1997.606819", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Application software; Arithmetic; Computer architecture; Contracts; Delay; Error correction; Iterative algorithms; Merging; Very large scale integration", } @Article{Wang:1997:HCA, author = "S. Wang and V. Piuri and E. E. Swartzlander", title = "Hybrid {CORDIC} algorithms", journal = j-IEEE-TRANS-COMPUT, volume = "46", number = "11", pages = "1202--1207", month = nov, year = "1997", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.644295", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Algorithm design and analysis; Complexity theory; Computer architecture; Computer errors; Delay; Digital arithmetic; Equations; Iterative algorithms; Throughput", } @InProceedings{Wang:1997:MSM, author = "Shaoyun Wang and V. Piuri and E. E. Swartzlander", booktitle = "{1997 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Merged scaling multiplication {CORDIC} algorithm", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2581--2584 (vol. 4)", year = "1997", DOI = "https://doi.org/10.1109/ISCAS.1997.612852", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Arithmetic; Clocks; Complexity theory; Computer applications; Control system synthesis; Iterative algorithms; Signal processing algorithms; Throughput; Very large scale integration", } @InBook{Wang:1997:UVC, author = "Shaoyun Wang and Vincenzo Piuri", booktitle = "Application Specific Processors", title = "A Unified View of {CORDIC} Processor Design", publisher = "Springer US", pages = "121--160", year = "1997", DOI = "https://doi.org/10.1007/978-1-4613-1457-8_5", ISBN = "1-4613-1457-7", ISBN-13 = "978-1-4613-1457-8", ISSN = "0893-3405", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Wedlake:1997:CID, author = "M. Wedlake and H. L. Kwok", booktitle = "{1997 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing, PACRIM. 10 Years Networking the Pacific Rim, 1987-1997}", title = "A {CORDIC} implementation of a digital artificial neuron", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "798--801 (vol. 2)", year = "1997", DOI = "https://doi.org/10.1109/PACRIM.1997.620380", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial neural networks; Attenuation; Design engineering; Feeds; Iterative algorithms; Multilayer perceptrons; Neural network hardware; Neural networks; Neurons; Vectors", } @PhdThesis{Abdoel-Gawad:1998:EHI, author = "F. S. Abdoel-Gawad", title = "Efficient hardware implementation of the {CORDIC} algorithm ({BL})", type = "{Ph.D.} thesis", school = "Liverpool John Moores University", address = "Liverpool, UK", pages = "1", year = "1998", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/efficient-hardware-implementation-cordic/docview/301520737/se-2", acknowledgement = ack-nhfb, keywords = "(UMI)AAIU112798; 0984:Computer science; Applied sciences; Computer science", ris-m1 = "U112798", } @InProceedings{Ahn:1998:VDC, author = "Youngho Ahn and Seunghyeon Nahm and Wonyong Sung", booktitle = "{1998 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{VLSI} design of a {CORDIC}-based derotator", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "449--452 (vol. 2)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.706973", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Baseband; Circuits; Computer architecture; Frequency synthesizers; Iterative algorithms; Linear approximation; Linearity; Pipeline processing; Quadrature amplitude modulation; Very large scale integration", } @InProceedings{Andraka:1998:SCA, author = "R. Andraka", editor = "????", booktitle = "{FPGA '98, Proceedings of the 1998 ACM\slash SIGDA Sixth International Symposium on Field Programmable Gate Arrays, Monterey CA, 1998}", title = "A survey of {CORDIC} algorithms for {FPGA} based computers", publisher = pub-ACM, address = pub-ACM:adr, pages = "191--200", year = "1998", bibdate = "Tue Nov 11 19:52:13 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Chen:1998:CPP, author = "J. Chen and K. J. Ray Liu", title = "A complete pipelined parallel {CORDIC} architecture for motion estimation", journal = j-IEEE-TRANS-CIRCUITS-SYST-2, volume = "45", number = "5", pages = "653--660", year = "1998", CODEN = "ICSPE5", DOI = "https://doi.org/10.1109/82.673651", ISSN = "1057-7130 (print), 1558-125X (electronic)", ISSN-L = "1057-7130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. 2, Analog and Digital Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=82", keywords = "Delay; Design methodology; Electrocardiography; Finite impulse response filter; IIR filters; Interference; Magnetic field measurement; Magnetic separation; Motion estimation; Power harmonic filters", } @InProceedings{Chen:1998:RCC, author = "A. Chen and S. Yang", booktitle = "{IEEE GLOBECOM 1998 (Cat. NO. 98CH36250)}", title = "Reduced complexity {CORDIC} demodulator implementation for {D-AMPS} and digital {IF-sampled} receiver", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1491--1496 (vol. 3)", year = "1998", DOI = "https://doi.org/10.1109/GLOCOM.1998.776595", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Arithmetic; Concurrent computing; Costs; Demodulation; Digital filters; Digital signal processing; Signal processing algorithms; Technological innovation; Very large scale integration", } @Article{Eklund:1998:CEF, author = "Neil Eklund", title = "{CORDIC}: Elementary function computation using recursive sequences", journal = "Electronic Proceeding of the ICTCM", volume = "11", number = "??", pages = "C027--??", year = "1998", bibdate = "Tue Nov 11 19:55:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Elguibaly:1998:CAC, author = "Fayez Elguibaly", title = "{$ \alpha $-CORDIC}: an adaptive {CORDIC} algorithm", journal = "Canadian Journal of Electrical and Computer Engineering", volume = "23", number = "3", pages = "133--138", year = "1998", CODEN = "CJEEEL", DOI = "https://doi.org/10.1109/CJECE.1998.7102007", ISSN = "0840-8688", ISSN-L = "0840-8688", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "Can. J. Electr. Comput. Eng.", fjournal = "Canadian Journal of Electrical and Computer Engineering / Revue canadienne de g{\'e}nie {\'e}lectrique et informatique", keywords = "Convergence; Digital signal processing; Mathematical model; Microprocessors; Program processors; Signal processing algorithms; Silicon", } @InProceedings{Ghariani:1998:DCI, author = "M. Ghariani and N. Masmoudi and M. W. Kharrat and L. Kamoun", booktitle = "{Proceedings of the Tenth International Conference on Microelectronics (Cat. No. 98EX186)}", title = "Design and chip implementation of modified {CORDIC} algorithm for Sine and Cosine functions application: {PARK} transformation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "241--244", year = "1998", DOI = "https://doi.org/10.1109/ICM.1998.825609", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Computer science; Equations; Field programmable gate arrays; Hardware; Industrial electronics; Iterative algorithms; Laboratories; Pipelines", } @InProceedings{Grayver:1998:DDF, author = "E. Grayver and B. Daneshrad", booktitle = "{ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No. 98CH36187)}", title = "Direct digital frequency synthesis using a modified {CORDIC}", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "241--244 (vol. 5)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.694454", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Control system synthesis; Equations; Frequency conversion; Frequency modulation; Frequency synthesizers; Integrated circuit synthesis; Phase control; Read only memory; Signal synthesis", } @PhdThesis{Hekstra:1998:CHP, author = "Gerben Johan Hekstra", title = "{CORDIC} for high-performance numerical computation", type = "{Dr.} Proefschrift", school = "Technische Universiteit Delft", address = "Delft, The Netherlands", pages = "xiv + 236", year = "1998", ISBN = "90-90-11472-6", ISBN-13 = "978-90-90-11472-9", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-high-performance-numerical-computation/docview/304492591/se-2", acknowledgement = ack-nhfb, keywords = "0984:Computer science; Applied sciences; computer arithmetic; Computer science; rotations", ris-m1 = "C656970", } @InProceedings{Hormigo:1998:CAD, author = "J. Hormigo and J. Villalba and E. L. Zapata", booktitle = "{Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No. 98CH36284)}", title = "{CORDIC} algorithm with digits skipping", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "194--196 (vol. 1)", year = "1998", DOI = "https://doi.org/10.1109/ACSSC.1998.750852", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Computer architecture; Concurrent computing; Costs; Digital signal processing; Equations; Hardware", } @Article{Hsiao:1998:DIA, author = "Shen-Fu Hsiao and Jen-Yin Chen", title = "Design, Implementation and Analysis of a New Redundant {CORDIC} Processor with Constant Scaling Factor and Regular Structure", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "20", number = "3", pages = "267--278", month = dec, year = "1998", DOI = "https://doi.org/10.1023/a:1008035100004", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @Article{Hu:1998:CCA, author = "Yu Hen Hu", title = "On the convergence of the {CORDIC} adaptive lattice filtering ({CALF}) algorithm", journal = j-IEEE-TRANS-SIG-PROC, volume = "46", number = "7", pages = "1861--1871", year = "1998", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.700954", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Adaptive filters; Arithmetic; Convergence; Filtering algorithms; Iterative algorithms; Lattices; Probability distribution; Reflection; Signal processing algorithms; Stochastic processes", } @InProceedings{Hu:1998:DCB, author = "Xiaobo Hu and M. L. Benson", booktitle = "{1998 Midwest Symposium on Circuits and Systems (Cat. No. 98CB36268)}", title = "Design {CORDIC}-based systems using term rewriting techniques", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "288--291", year = "1998", DOI = "https://doi.org/10.1109/MWSCAS.1998.759489", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Aerospace industry; Application software; Computer industry; Computer science; Costs; Design optimization; Hardware; Integrated circuit interconnections; Logic design; Optimizing compilers", } @InProceedings{Kwak:1998:ILI, author = "Jae-Hyuek Kwak and E. E. Swartzlander", booktitle = "{Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No. 98CH36284)}", title = "An implementation of level-index arithmetic based on the low latency {CORDIC} system", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "208--212 (vol. 1)", year = "1998", DOI = "https://doi.org/10.1109/ACSSC.1998.750855", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Calculators; Computer architecture; Concurrent computing; Costs; Delay; Digital arithmetic; Equations; Hardware; Parallel processing; Timing", } @Article{Lang:1998:CVA, author = "Tom{\'a}s Lang and E. Antelo", title = "{CORDIC} vectoring with arbitrary target value", journal = j-IEEE-TRANS-COMPUT, volume = "47", number = "7", pages = "736--749", month = jul, year = "1998", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.709373", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Computer Society; Convergence; Digital arithmetic; Equations; Error analysis; Manipulator dynamics; Orbital robotics; Proposals; Robot kinematics", } @InProceedings{Lin:1998:CAF, author = "Chun-Fu Lin and Sau-Gee Chen", booktitle = "{1998 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A {CORDIC} algorithm with fast rotation prediction and small iteration number", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "229--232 (vol. 5)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.694451", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Computer applications; Computer graphics; Concurrent computing; Costs; Digital signal processing; Encoding; Very large scale integration; Virtual reality", } @InProceedings{Looye:1998:MMF, author = "A. Looye and G. Hekstra and E. Deprettere", booktitle = "{1998 IEEE Workshop on Signal Processing Systems. SIPS 98. Design and Implementation (Cat. No. 98TH8374)}", title = "Multiport memory and floating-point {CORDIC} pipeline in {Jacobium} processing elements", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "406--416", year = "1998", DOI = "https://doi.org/10.1109/SIPS.1998.715803", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Data analysis; Jacobian matrices; Jacobium dataflow processor; Pipelines; Process design; Symmetric matrices", } @InProceedings{Ma:1998:HSC, author = "Jun Ma and K. K. Parhi and Ed.F. Deprettiere", booktitle = "{1998 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "High-speed {CORDIC} based parallel weight extraction for {QRD-RLS} adaptive filtering", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "245--248 (vol. 5)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.694455", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive arrays; Adaptive filters; Equations; Jacobian matrices; Least squares approximation; Least squares methods; Matrix decomposition; Pipeline processing; Resonance light scattering; Signal processing algorithms", } @InProceedings{Ma:1998:PCB, author = "Jun Ma and K. K. Parhi and E. F. Deprettere", booktitle = "{Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No. 98CH36181)}", title = "Pipelined {CORDIC} based {QRD-MVDR} adaptive beamforming", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3025--3028 (vol. 5)", year = "1998", DOI = "https://doi.org/10.1109/ICASSP.1998.678163", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Costs; Degradation; Directive antennas; Filtering; Hardware; Jacobian matrices; Pipeline processing; Vectors; Very large scale integration", } @InProceedings{Ma:1998:PIC, author = "Jun Ma and K. K. Parhi and E. F. Deprettere", booktitle = "{ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No. 98TH8344)}", title = "Pipelined implementation of {CORDIC}-based {QRD-MVDR} adaptive beamforming", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "514--517 (vol. 1)", year = "1998", DOI = "https://doi.org/10.1109/ICOSP.1998.770263", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Costs; Degradation; Directive antennas; Hardware; Jacobian matrices; Paper technology; Pipeline processing; Vectors; Very large scale integration", } @InProceedings{Mencer:1998:ARC, author = "O. Mencer and L. Semeria and M. Morf and J.-M. Delosme", booktitle = "{Conference Record of Thirty-Second Asilomar Conference on Signals, Systems and Computers (Cat. No. 98CH36284)}", title = "Application of reconfigurable {CORDIC} architectures", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "182--186 (vol. 1)", year = "1998", DOI = "https://doi.org/10.1109/ACSSC.1998.750850", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Algorithm design and analysis; Arithmetic; Computer architecture; Delay; Multidimensional systems; Parallel processing; Pipeline processing; Radar applications; Sonar applications", } @Article{Mertzios:1998:FID, author = "Basil G. Mertzios", title = "Fast implementation of direct robot kinematics with {CORDIC} systolic arrays", journal = j-INT-J-COMPUT-MATH, volume = "67", number = "3--4", pages = "239--260", month = jan, year = "1998", CODEN = "IJCMAT", DOI = "https://doi.org/10.1080/00207169808804663", ISSN = "1029-0265", ISSN-L = "0020-7160", MRclass = "70B15", MRnumber = "1682387", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0909.70005", acknowledgement = ack-nhfb, fjournal = "International Journal of Computer Mathematics", journal-URL = "http://www.tandfonline.com/loi/gcom20", keywords = "70-08,70B15", ZBmath = "1160111", } @Article{Meyer-Base:1998:FMC, author = "U. Meyer-B{\"a}se and A. Meyer-B{\"a}se and J. Mellott and F. Taylor", title = "A Fast Modified {CORDIC} --- Implementation of Radial Basis Neural Networks", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "20", number = "3", pages = "211--218", month = dec, year = "1998", DOI = "https://doi.org/10.1023/a:1008006030955", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @InProceedings{Nahm:1998:CBD, author = "Seunghyeon Nahm and Kyungtae Han and Wonyong Sung", booktitle = "{1998 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A {CORDIC}-based digital quadrature mixer: comparison with a {ROM}-based architecture", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "385--388 (vol. 4)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.698871", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amplitude modulation; Baseband; Costs; Demodulation; Frequency; Hardware; Quadrature amplitude modulation; Quadrature phase shift keying; Read only memory; Signal generators", } @Article{Phatak:1998:CDM, author = "D. S. Phatak", title = "Comments on {Duprat} and {Muller}'s branching {CORDIC} paper", journal = j-IEEE-TRANS-COMPUT, volume = "47", number = "9", pages = "1037--1040", month = sep, year = "1998", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.713326", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See \cite{Duprat:1993:CAN}.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Delay effects; Equations; Error correction", } @Article{Phatak:1998:DSB, author = "D. S. Phatak", title = "Double step branching {CORDIC}: a new algorithm for fast sine and cosine generation", journal = j-IEEE-TRANS-COMPUT, volume = "47", number = "5", pages = "587--602", month = may, year = "1998", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.677251", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Application software; Computer architecture; Discrete Fourier transforms; Fourier transforms; Hardware; Singular value decomposition; Software performance; Table lookup; Very large scale integration", } @Article{Saranli:1998:CRR, author = "Afsar Saranli and Buyurman Baykal", title = "Complexity reduction in radial basis function ({RBF}) networks by using radial {B}-spline functions", journal = j-NEUROCOMPUTING, volume = "18", number = "1", pages = "183--194", year = "1998", CODEN = "NRCGEO", DOI = "https://doi.org/10.1016/S0925-2312(97)00078-7", ISSN = "0925-2312 (print), 1872-8286 (electronic)", ISSN-L = "0925-2312", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0925231297000787", acknowledgement = ack-nhfb, fjournal = "Neurocomputing", journal-URL = "http://www.sciencedirect.com/science/journal/09252312", keywords = "B-splines; Computational complexity; CORDIC; RBF", } @Article{Sarmiento:1998:CPF, author = "R. Sarmiento and F. Tobajas and V. de Armas and R. Esper-Chain and J. F. Lopez and J. A. Montiel-Nelson and A. Nunez", title = "A {CORDIC} processor for {FFT} computation and its implementation using gallium arsenide technology", journal = j-IEEE-TRANS-VLSI-SYST, volume = "6", number = "1", pages = "18--30", year = "1998", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/92.661241", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Adders; Computer architecture; Energy consumption; Fast Fourier transforms; Frequency; Gallium arsenide; Pipeline processing; Signal processing algorithms; Silicon; Very large scale integration", } @Article{Shi:1998:ICA, author = "Jinglin Shi and Tao Li and Bo Yu and Qunying Zhang and Yueqiu Han", title = "Improvement of {CORDIC} algorithm", journal = "J. Beijing Inst. Tech.", volume = "7", number = "4", pages = "400--405", year = "1998", ISSN = "1004-0579", MRclass = "65D20 (94A12)", MRnumber = "1681419", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Beijing Institute of Technology. Journal", } @InProceedings{Shiraishi:1998:INA, author = "S.-i. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{1998 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "An implementation of a normalized {ARMA} lattice filter with a {CORDIC} algorithm", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "253--256 (vol. 5)", year = "1998", DOI = "https://doi.org/10.1109/ISCAS.1998.694457", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Computer architecture; Digital filters; Hardware; Iterative algorithms; Lattices; Signal analysis; Signal processing algorithms; Signal synthesis; Speech analysis", } @Article{Villalba:1998:PCS, author = "J. Villalba and Tom{\'a}s Lang and E. L. Zapata", title = "Parallel Compensation of Scale Factor for the {CORDIC} Algorithm", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "19", number = "3", pages = "227--241", month = aug, year = "1998", DOI = "https://doi.org/10.1023/a:1008013707124", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @Article{Villalba:1998:RVC, author = "J. Villalba and E. L. Zapata and E. Antelo and J. D. Bruguera", title = "Radix-4 Vectoring {CORDIC} Algorithm and Architectures", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "19", number = "2", pages = "127--147", month = jul, year = "1998", DOI = "https://doi.org/10.1023/a:1008061701575", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @PhdThesis{Wang:1998:CAP, author = "Shaoyun Wang", title = "A {CORDIC} arithmetic processor", type = "{Ph.D.} thesis", school = "The University of Texas at Austin", address = "Austin, TX, USA", pages = "136", year = "1998", ISBN = "0-591-91832-3", ISBN-13 = "978-0-591-91832-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-arithmetic-processor/docview/304459653/se-2", acknowledgement = ack-nhfb, advisor = "Swartzlander, Earl E., Jr.", keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Arithmetic processor; Computer science; Coordinate rotation; Cordic; Electrical engineering; Plane rotation", ris-m1 = "9838156", } @InProceedings{Wassatsch:1998:AMR, author = "A. Wassatsch and S. Dolling and Dirk Timmermann", booktitle = "{Proceedings International Conference on Computer Design. VLSI in Computers and Processors (Cat. No. 98CB36273)}", title = "Area minimization of redundant {CORDIC} pipeline architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "136--141", year = "1998", DOI = "https://doi.org/10.1109/ICCD.1998.727034", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Computer science; Electronic switching systems; Equations; Hip; Information technology; Microelectronics; Pipelines; Proposals; Throughput", } @InProceedings{Antelo:1999:VHR, author = "E. Antelo and Tom{\'a}s Lang and J. D. Bruguera", booktitle = "{Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No. 99CB36336)}", title = "Very-high radix {CORDIC} vectoring with scalings and selection by rounding", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "204--213", year = "1999", DOI = "https://doi.org/10.1109/ARITH.1999.762846", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Contracts; Costs; Polynomials", } @InProceedings{Antelo:1999:VRC, author = "Elisardo Antelo and Tom{\'a}s Lang and Javier D. Bruguera", title = "Very-High Radix {CORDIC} Vectoring with Scalings and Selection by Rounding", crossref = "Koren:1999:ISC", pages = "204--213", year = "1999", bibdate = "Mon Feb 7 07:28:26 MST 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://euler.ecs.umass.edu/paper/final/paper-154.pdf; http://euler.ecs.umass.edu/paper/final/paper-154.ps; http://www.acsel-lab.com/arithmetic/arith14/papers/ARITH14_Antelo.pdf", abstract = "A very-high radix algorithm and implementation for circular CORDIC in vectoring mode is presented. As for division, to simplify the selection function, the operands are pre-scaled. However, in the CORDIC algorithm the coordinate x varies during the execution so several scalings might be needed; we show that two scalings are sufficient. Moreover, the compensation of the variable scale factor is done by computing the logarithm of the scale factor and performing the compensation by an exponential. Estimations of the delay for 32-bit precision show a speed up of about two with respect to the radix-4 case with redundant addition. This speed up is obtained at the cost of an increase in the hardware complexity, which is moderate for the pipelined implementation.", acknowledgement = ack-nhfb, keywords = "ARITH-14; computer arithmetic", summary = "A very-high radix algorithm and implementation for circular CORDIC in vectoring mode is presented. As for division, to simplify the selection function, the operands are pre-scaled. However in the CORDIC algorithm the coordinate x varies during the \ldots{}", } @InProceedings{Choi:1999:HSC, author = "Jae Hun Choi and Jae-Hyuck Kwak and E. E. Swartzlander", booktitle = "{Proceedings 1999 IEEE International Conference on Computer Design: VLSI in Computers and Processors (Cat. No. 99CB37040)}", title = "High-speed {CORDIC} architecture based on redundant sum formation and overlapped $ \sigma $-selection", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "68--72", year = "1999", DOI = "https://doi.org/10.1109/ICCD.1999.808388", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Added delay; Circuits; Delay effects; Delay estimation; Equations; Hardware; Logic; Performance analysis; Throughput; Timing", } @InProceedings{Hormigo:1999:ISC, author = "J. Hormigo and J. Villalba and E. L. Zapata", booktitle = "{Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No. 99CB36336)}", title = "Interval sine and cosine functions computation based on variable-precision {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "186--193", year = "1999", DOI = "https://doi.org/10.1109/ARITH.1999.762844", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Arithmetic; Computer architecture; Equations; Hardware; Iterative algorithms; Polynomials; Reactive power; Roundoff errors; Software packages", } @InProceedings{Hsiao:1999:HSC, author = "Shen-Fu Hsiao", booktitle = "{1999 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A high-speed constant-factor redundant {CORDIC} processor without extra correcting or scaling iterations", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "455--458 (vol. 1)", year = "1999", DOI = "https://doi.org/10.1109/ISCAS.1999.777913", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Application software; Design engineering; Digital arithmetic; Digital signal processing chips; Hardware; Indexing; Process design; Signal processing algorithms; Very large scale integration", } @InProceedings{Juang:1999:LPF, author = "Tso Bing Juang and Shen Fu Hsiao", booktitle = "{42nd Midwest Symposium on Circuits and Systems (Cat. No. 99CH36356)}", title = "Low power and fast {CORDIC} processor for vector rotation", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "81--83 (vol. 1)", year = "1999", DOI = "https://doi.org/10.1109/MWSCAS.1999.867214", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer graphics; Detectors; Digital arithmetic; Digital signal processing; Hardware; Power engineering and energy; Power engineering computing; Robot control; Signal processing algorithms", } @InProceedings{Kantabutra:1999:HRC, author = "Vitit Kantabutra", booktitle = "{ICECS'99. Proceedings of ICECS '99. 6th IEEE International Conference on Electronics, Circuits and Systems (Cat. No. 99EX357)}", title = "High-radix {CORDIC} for vector rotation with pipelined {FPGA} implementation", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1131--1134 (vol. 2)", year = "1999", DOI = "https://doi.org/10.1109/ICECS.1999.813433", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computational modeling; Delay; Demodulation; Digital signal processing; Field programmable gate arrays; Mathematics; Motion control; Signal processing algorithms; Vectors", } @Article{Katiyar:1999:ARC, author = "Mayank Katiyar and K. M. M. Prabhu", title = "Angle recoding {CORDIC}-based systolic arrays for {DFT} and {DHT} of prime length", journal = j-COMPUT-ELECTR-ENG, volume = "25", number = "3", pages = "181--193", year = "1999", CODEN = "CPEEBQ", DOI = "https://doi.org/10.1016/S0045-7906(98)00034-2", ISSN = "0045-7906 (print), 1879-0755 (electronic)", ISSN-L = "0045-7906", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0045790698000342", acknowledgement = ack-nhfb, fjournal = "Computers and Electrical Engineering", keywords = "Angle recording; Cordic; DFT; Systolic arrays; VLSI arrays", } @InProceedings{Kuhlmann:1999:HSC, author = "M. Kuhlmann and K. K. Parhi", booktitle = "{1999 IEEE Workshop on Signal Processing Systems. SiPS 99. Design and Implementation (Cat. No. 99TH8461)}", title = "A high-speed {CORDIC} algorithm and architecture for {DSP} applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "732--741", year = "1999", DOI = "https://doi.org/10.1109/SIPS.1999.822381", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Clocks; Computer architecture; Delay; Digital filters; Digital signal processing; Image processing; Pipeline processing; Signal processing algorithms; Vectors", } @InProceedings{Kuhlmann:1999:NCR, author = "M. Kuhlmann and K. K. Parhi", booktitle = "{Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No. CH37020)}", title = "A novel {CORDIC} rotation method for generalized coordinate systems", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1361--1367 (vol. 2)", year = "1999", DOI = "https://doi.org/10.1109/ACSSC.1999.831929", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Clocks; Computer architecture; Delay; Image processing; Iterative algorithms; Pipeline processing; Signal processing; Signal processing algorithms; Vectors", } @InProceedings{Kwak:1999:NSP, author = "Mae-Hyuck Kwak and E. E. Swartzlander", booktitle = "{42nd Midwest Symposium on Circuits and Systems (Cat. No. 99CH36356)}", title = "A new scheme for prediction of rotation directions in {CORDIC} processing", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "870--873 (vol. 2)", year = "1999", DOI = "https://doi.org/10.1109/MWSCAS.1999.867773", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Added delay; Arithmetic; Degradation; Equations; Hardware; Logic; Pipeline processing; Prediction algorithms; Throughput; Timing", } @InProceedings{Lewis:1999:CLN, author = "D. Lewis", booktitle = "{Proceedings 14th IEEE Symposium on Computer Arithmetic (Cat. No. 99CB36336)}", title = "Complex logarithmic number system arithmetic using high-radix redundant {CORDIC} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "194--203", year = "1999", DOI = "https://doi.org/10.1109/ARITH.1999.762845", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Convergence; Digital arithmetic", } @InProceedings{Ma:1999:ATA, author = "Jun Ma and K. K. Parhi and E. F. Deprettere", booktitle = "{Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers (Cat. No. CH37020)}", title = "An algorithm transformation approach to {CORDIC} based parallel singular value decompositions architectures", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1401--1405 (vol. 2)", year = "1999", DOI = "https://doi.org/10.1109/ACSSC.1999.831936", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Digital signal processing; Feedback loop; Flow graphs; Linear algebra; Parallel architectures; Signal processing algorithms; Singular value decomposition; Very large scale integration", } @InProceedings{McInerney:1999:HMC, author = "S. McInerney and R. B. Reilly", booktitle = "{1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No. 99CH36258)}", title = "Hybrid multiplier\slash {CORDIC} unit for online handwriting recognition", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1909--1912 (vol. 4)", year = "1999", DOI = "https://doi.org/10.1109/ICASSP.1999.758297", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; Arithmetic; Character recognition; Digital signal processing; Euclidean distance; Feature extraction; Handwriting recognition; Hardware; Iterative algorithms; Personal digital assistants", } @Article{Padala:1999:PCP, author = "Satish Kumar Padala and K. M. M. Prabhu", title = "Pipelined {CORDIC} processors for generating {Gaussian} random numbers", journal = j-SIG-PROC, volume = "72", number = "3", pages = "177--181", year = "1999", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/S0165-1684(98)00178-9", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", ZMnumber = "0931.65002", acknowledgement = ack-nhfb, ajournal = "Signal Process.", fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", keywords = "65C10", ZBmath = "1257843", } @InProceedings{Park:1999:DSS, author = "Minkyoung Park and Sungsoo Choi and Seunggeun Kim and Kiseon Kim and Jeong-A Lee", booktitle = "{Fifth Asia-Pacific Conference on \ldots{} and Fourth Optoelectronics and Communications Conference on Communications}", title = "A digital sinusoid synthesis based on the postscaled {CORDIC}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "948--951 (vol. 2)", year = "1999", DOI = "https://doi.org/10.1109/APCC.1999.820420", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Approximation error; Computer errors; Computer science; Digital arithmetic; Digital communication; Hardware; Navigation; Signal processing; Signal processing algorithms", } @InProceedings{Vankka:1999:CBM, author = "J. Vankka and M. Kosunen and J. Hubach and K. Halonen", booktitle = "{Seamless Interconnection for Universal Services. Global Telecommunications Conference. GLOBECOM'99. (Cat. No. 99CH37042)}", title = "A {CORDIC}-based multicarrier {QAM} modulator", volume = "1A", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "173--177 (vol. 1a)", year = "1999", DOI = "https://doi.org/10.1109/GLOCOM.1999.831630", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Amplitude modulation; Electronic circuits; Frequency; Multiaccess communication; Power amplifiers; Power harmonic filters; Pulse modulation; Quadrature amplitude modulation; Wideband", } @Article{Hu:19xx:ECB, author = "Yu Hen Hu and H. M. Chern", title = "An efficient {CORDIC} backward angle recoding algorithm and its applications to digital signal processing", journal = "????", volume = "??", number = "??", pages = "??--??", month = "????", year = "19xx", DOI = "", bibdate = "Wed Oct 29 11:21:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "Was this paper ever published?? Cited in \cite[p. 34, ref. 50]{Hu:1992:CBR}. Neither Bing nor DuckDuckGo nor Google searches find it.", } @Article{Antelo:2000:VHRa, author = "Elisardo Antelo and Tom{\'a}s Lang and Javier D. Bruguera", title = "Very-High Radix {CORDIC} Rotation Based on Selection by Rounding", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "141--153", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008119006403", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0963.68238", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68W35", ZBmath = "1507619", } @Article{Antelo:2000:VHRb, author = "E. Antelo and Tom{\'a}s Lang and J. D. Bruguera", title = "Very-high radix circular {CORDIC}: vectoring and unified rotation\slash vectoring", journal = j-IEEE-TRANS-COMPUT, volume = "49", number = "7", pages = "727--739", month = jul, year = "2000", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/12.863043", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Computer architecture; Convergence; Costs; Delay estimation; Hardware; Proposals", } @Article{Bekooij:2000:NAF, author = "M. Bekooij and J. Huisken and K. Nowak", title = "Numerical Accuracy of {Fast Fourier Transforms} with {CORDIC} Arithmetic", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "187--193", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008179225059", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0963.68241", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68W35", ZBmath = "1507623", } @InBook{Bellis:2000:CAF, author = "Stephen J. Bellis and William P. Marnane", booktitle = "Field-Programmable Logic and Applications: The Roadmap to Reconfigurable Computing", title = "A {CORDIC} Arctangent {FPGA} Implementation for a High-Speed 3D-Camera System", publisher = pub-SV, address = pub-SV:adr, pages = "485--494", year = "2000", DOI = "https://doi.org/10.1007/3-540-44614-1_53", ISBN = "3-540-44614-1", ISBN-13 = "978-3-540-44614-9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Chih:2000:FCA, author = "Jen-Chuan Chih and Sau-Gee Chen", booktitle = "{2000 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A fast {CORDIC} algorithm based on a novel angle recoding scheme", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "621--624 (vol. 4)", year = "2000", DOI = "https://doi.org/10.1109/ISCAS.2000.858828", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Chaos; Convergence; Design engineering; Encoding; Equations; Iterative algorithms; Signal processing algorithms; Table lookup", } @InProceedings{Costello:2000:BSLa, author = "J. Costello and D. Al-Khalili", booktitle = "{ICECS 2000. 7th IEEE International Conference on Electronics, Circuits and Systems (Cat. No. 00EX445)}", title = "Behavioural synthesis of low power floating point {CORDIC} processors", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "506--509 (vol. 1)", year = "2000", DOI = "https://doi.org/10.1109/ICECS.2000.911589", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Digital arithmetic; Digital signal processing; Educational institutions; Embedded system; Equations; Hardware design languages; Military computing; Signal processing algorithms; System-on-a-chip", } @MastersThesis{Costello:2000:BSLb, author = "Joseph Patrick Costello", title = "Behavioural synthesis of low-power floating point {CORDIC} processors", type = "{M.Eng.} thesis", school = "Royal Military College of Canada", address = "Kingston, ON, Canada", pages = "183", year = "2000", ISBN = "0-612-65854-6", ISBN-13 = "978-0-612-65854-7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/behavioural-synthesis-low-power-floating-point/docview/304678593/se-2", acknowledgement = ack-nhfb, advisor = "Dhamin Al-Khalili", keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "MQ65854", } @InProceedings{Gisutham:2000:HSF, author = "B. Gisutham and T. Srikanthan and K. V. Asari", booktitle = "{Proceedings Fifth IEEE International Workshop on Computer Architectures for Machine Perception}", title = "A high speed flat {CORDIC} based neuron with multi-level activation function for robust pattern recognition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "87--94", year = "2000", DOI = "https://doi.org/10.1109/CAMP.2000.875962", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Costs; Delay; Image resolution; Multivalued logic; Neural network hardware; Neural networks; Neurons; Pattern recognition; Very large scale integration", } @InProceedings{Gisuthan:2000:FCU, author = "B. Gisuthan and T. Srikanthan", booktitle = "{Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat. No. CH37144)}", title = "Flat {CORDIC}: a unified architecture for high-speed generation of trigonometric and hyperbolic functions", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1414--1417 (vol. 3)", year = "2000", DOI = "https://doi.org/10.1109/MWSCAS.2000.951478", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuits; CMOS process; Computer architecture; Delay; Equations; Iterative algorithms; Libraries; Silicon; Very large scale integration", } @Article{Hamill:2000:OCA, author = "R. Hamill and J. V. McCanny and R. L. Walke", title = "Online {CORDIC} algorithm and {VLSI} architecture for implementing {$ Q R $}-array processors", journal = j-IEEE-TRANS-SIG-PROC, volume = "48", number = "2", pages = "592--598", year = "2000", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.823992", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Arithmetic; Array signal processing; CMOS process; Convergence; Delay; Laboratories; Process design; Signal processing algorithms; Systolic arrays; Very large scale integration", } @Article{Hekstra:2000:SIC, author = "Gerben Hekstra and Ed Deprettere and Jeong-A Lee", title = "Special issue on {CORDIC}", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "99--196", year = "2000", DOI = "https://doi.org/10.1023/a:1008129720516", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0955.00020", acknowledgement = ack-nhfb, fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "00B15,68-06", ZBmath = "1507616", } @Article{Hsiao:2000:RCF, author = "Shen-Fu Hsiao and Chun-Yi Lau and Jean-Marc Delosme", title = "Redundant Constant-Factor Implementation of Multi-Dimensional {CORDIC} and Its Application to Complex {SVD}", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "155--166", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008171023241", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0962.68184", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68W35", ZBmath = "1507620", } @InProceedings{Juang:2000:DCP, author = "Tso-Bing Juang and Shen-Fu Hsiao", booktitle = "{2000 Southwest Symposium on Mixed-Signal Design (Cat. No. 00EX390)}", title = "Discussions on the {CORDIC} processor using leading zeros detector", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "175--178", year = "2000", DOI = "https://doi.org/10.1109/SSMSD.2000.836468", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer science; Detectors; Equations; Logic functions; Logic gates; Signal generators; Sun", } @InProceedings{Kwak:2000:FTH, author = "J.-H. Kwak and V. Piuri and E. E. Swartzlander", booktitle = "{Proceedings IEEE International Symposium on Defect and Fault Tolerance in VLSI Systems}", title = "Fault-tolerant high-performance {CORDIC} processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "164--172", year = "2000", DOI = "https://doi.org/10.1109/DFTVS.2000.887154", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Complexity theory; Computer errors; Delay; Electrical fault detection; Fault tolerance; Hardware; Pipeline processing; Redundancy; Throughput", } @Article{Kwak:2000:HSCa, author = "Jae-Hyuck Kwak and Jae Hun Choi and Earl E. {Swartzlander, Jr.}", title = "High-speed {CORDIC} based on an overlapped architecture and a novel $ \sigma $-prediction method", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "167--177", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008123124150", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0963.68239", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68W35,68M99", ZBmath = "1507621", } @PhdThesis{Kwak:2000:HSCb, author = "Jae-Hyuck Kwak", title = "High speed {CORDIC} processor designs: Algorithms, architectures, and applications", type = "{Ph.D.} thesis", school = "The University of Texas at Austin", address = "Austin, TX, USA", pages = "115", year = "2000", ISBN = "0-599-89858-5", ISBN-13 = "978-0-599-89858-5", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/high-speed-cordic-processor-designs-algorithms/docview/304633329/se-2", acknowledgement = ack-nhfb, advisor = "Swartzlander, Earl E., Jr.", keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Computer science; Coordinate rotation digital computer; Electrical engineering; Iterative processing", ris-m1 = "9983262", } @Article{Lang:2000:CBC, author = "Tom{\'a}s Lang and Elisardo Antelo", title = "{CORDIC}-Based Computation of {ArcCos} and $ \sqrt {1 - t^2} $", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "1", pages = "19--38", month = may, year = "2000", DOI = "https://doi.org/10.1023/a:1008121502359", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", remark = "From page 32, bottom of column 1: ``We now consider the minimum datapath width which assures convergence using the approximation. In Appendix 3 we report an error analysis which shows that this width is $ n + \log_2 (k) + 3 $.", } @Article{Ma:2000:ARL, author = "Jun Ma and K. K. Parhi and E. F. Deprettere", title = "Annihilation-reordering look-ahead pipelined {CORDIC}-based {RLS} adaptive filters and their application to adaptive beamforming", journal = j-IEEE-TRANS-SIG-PROC, volume = "48", number = "8", pages = "2414--2431", year = "2000", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.852021", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Adaptive filters; Arithmetic; Array signal processing; Concurrent computing; Convergence; Degradation; Filtering algorithms; Pipeline processing; Resonance light scattering; Stability", } @Article{Ma:2000:EIP, author = "Jun Ma and K. K. Parhi and G. J. Hekstra and E. F. Deprettere", title = "Efficient implementations of pipelined {CORDIC} based {IIR} digital filters using fast orthonormal $ \mu $-rotations", journal = j-IEEE-TRANS-SIG-PROC, volume = "48", number = "9", pages = "2712--2716", year = "2000", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.863093", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Band pass filters; Computer architecture; Digital filters; IIR filters; Jacobian matrices; Laboratories; Nonlinear filters; Pipeline processing; Transfer functions; Very large scale integration", } @PhdThesis{Ma:2000:HPC, author = "Jun Ma", title = "High-performance {CORDIC}-based orthogonal recursive and adaptive filtering", type = "{Ph.D.} thesis", school = "University of Minnesota", address = "Minneapolis, MN, USA", pages = "171", year = "2000", ISBN = "0-599-64828-7", ISBN-13 = "978-0-599-64828-9", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/high-performance-cordic-based-orthogonal/docview/304607791/se-2", acknowledgement = ack-nhfb, advisor = "Keshab K. Parhi", keywords = "0544:Electrical engineering; Adaptive filtering; Applied sciences; CORDIC-based; Electrical engineering; Orthogonal filters; Recursive filters", ris-m1 = "9961005", } @Article{Ma:2000:PCB, author = "J. Ma and K. K. Parhi and E. F. Deprettere", title = "Pipelined {CORDIC}-based cascade orthogonal {IIR} digital filters", journal = j-IEEE-TRANS-CIRCUITS-SYST-2, volume = "47", number = "11", pages = "1238--1253", year = "2000", CODEN = "ICSPE5", DOI = "https://doi.org/10.1109/82.885131", ISSN = "1057-7130 (print), 1558-125X (electronic)", ISSN-L = "1057-7130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. 2, Analog and Digital Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=82", keywords = "Digital filters; Feedback loop; Filtering theory; Finite wordlength effects; IIR filters; Inverse problems; Limit-cycles; Pipeline processing; Transfer functions; Very large scale integration", } @InBook{Mencer:2000:ARCa, author = "Oskar Mencer and Luc S{\'e}m{\'e}ria and Martin Morf and Jean-Marc Delosme", booktitle = "Field-Programmable Custom Computing Technology: Architectures, Tools, and Applications", title = "Application of Reconfigurable {CORDIC} Architectures", publisher = "Springer US", pages = "85--95", year = "2000", DOI = "https://doi.org/10.1007/978-1-4615-4417-3_6", ISBN = "1-4615-4417-3", ISBN-13 = "978-1-4615-4417-3", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Mencer:2000:ARCb, author = "Oskar Mencer and Luc S{\'e}m{\'e}ria and Martin Morf and Jean-Marc Delosme", title = "Application of Reconfigurable {CORDIC} Architectures", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "24", number = "2--3", pages = "211--221", month = mar, year = "2000", DOI = "https://doi.org/10.1023/a:1008145506415", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @InProceedings{Musicer:2000:MCM, author = "J. M. Musicer and J. Rabaey", booktitle = "{ISLPED'00: Proceedings of the 2000 International Symposium on Low Power Electronics and Design (Cat. No. 00TH8514)}", title = "{MOS} current mode logic for low power, low noise {CORDIC} computation in mixed-signal environments", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "102--107", year = "2000", DOI = "https://doi.org/10.1145/344166.344532", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit noise; CMOS logic circuits; CMOS process; Energy consumption; Logic circuits; Logic design; Logic devices; Permission; Voltage; Working environment noise", } @InProceedings{Otte:2000:CCL, author = "M. Otte and M. Bucker and J{\"u}rgen G{\"o}tze", booktitle = "{2000 International Zurich Seminar on Broadband Communications. Accessing, Transmission, Networking. Proceedings (Cat. No. 00TH8475)}", title = "Complex {CORDIC-like} algorithms for linearly constrained {MVDR} beamforming", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "97--104", year = "2000", DOI = "https://doi.org/10.1109/IZSBC.2000.829236", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive arrays; Array signal processing; Broadband antennas; Ear; Information processing; Least squares methods; Process design; Signal processing algorithms; Very large scale integration; Wireless communication", } @Article{Pashea:2000:MCM, author = "Michael Pashea", title = "Microcontrollers and {CORDIC} Methods", journal = j-DDJ, volume = "25", number = "9", pages = "86, 88--90, 92", month = sep, year = "2000", CODEN = "DDJOEB", ISSN = "1044-789X", bibdate = "Wed Nov 8 15:09:24 MST 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/dr-dobbs-2000.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://www.ddj.com/ftp/2000/2000_09/cordic.txt; http://www.ddj.com/ftp/2000/2000_09/cordic.zip", abstract = "CORDIC algorithms are efficient in terms of both computation time and hardware resources -- and in most microcontroller systems, these resources are normally a premium. Additional resources include cordic.txt (listings) and cordic.zip (source code).", acknowledgement = ack-nhfb, fjournal = "Dr. Dobb's Journal of Software Tools", journal-URL = "http://www.ddj.com/", } @InProceedings{Shiraishi:2000:HAP, author = "S. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{2000 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A highly accurate pipelined architecture for a {CORDIC} {ARMA} lattice filter", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "369--372 (vol. 5)", year = "2000", DOI = "https://doi.org/10.1109/ISCAS.2000.857441", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustic signal processing; Adaptive filters; Data processing; Equations; Feedback loop; Iterative algorithms; Lattices; Signal processing; Signal processing algorithms; Throughput", } @InProceedings{Valls:2000:EMC, author = "J. Valls and M. Kuhlmann and K. K. Parhi", booktitle = "{2000 IEEE Workshop on SiGNAL PROCESSING SYSTEMS. SiPS 2000. Design and Implementation (Cat. No. 00TH8528)}", title = "Efficient mapping of {CORDIC} algorithms on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "336--345", year = "2000", DOI = "https://doi.org/10.1109/SIPS.2000.886732", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Digital signal processing; Digital signal processing chips; Field programmable gate arrays; Iterative algorithms; Routing; Signal processing algorithms; Vectors; Very large scale integration; Virtual manufacturing", } @Article{vanderKolk:2000:FPV, author = "K. J. van der Kolk and J. A. Lee and E. F. A. Deprettere", title = "A Floating Point Vectoring Algorithm Based on Fast Rotations", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "125--139", month = jun, year = "2000", DOI = "https://doi.org/10.1023/A:1008166822333", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Thu May 09 09:46:25 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "The idea of approximate rotations has been introduced by J. G{\"o}tze and G. Hekstra. G. Hekstra and E. Deprettere extended the concept to orthogonal fast rotations and formalized the concept by providing a fast rotation theory. In this theory, the emphasis has been on fast rotation, whereas fast rotation-based vectorization has only been considered in an approximating sense in examples published by J. G{\"o}tze and G. Hekstra. The formalization of fast rotation-based vectorization is the subject of this paper. The few known approximate fast vectorization algorithms are special cases of the generic fast rotation-based vectorization algorithm proposed in this paper.", acknowledgement = ack-nhfb, fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @Article{Volder:2000:BC, author = "Jack E. Volder", title = "The Birth of {CORDIC}", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "101--105", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008110704586", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @Article{Walther:2000:SUC, author = "John Stephen Walther", title = "The Story of Unified {CORDIC}", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "25", number = "2", pages = "107--112", month = jun, year = "2000", DOI = "https://doi.org/10.1023/a:1008162721424", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", MRclass = "68U99 68-03 68W05 68M07", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "0969.68661", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", remark-1 = "[From page 108, about the HP-2116 computer] ``A 48-bit binary floating point format, consisting of 40 bits of mantissa and 8 bits of exponent, was chosen. The X, Y, and Z registers were each 48 bits long, which included 8 bits as guard bits in each register. The guard bits allow up to a few hundred round-off errors to accumulate without introducing more than a small fraction of a bit of error into the result's 40-bit long mantissa.''", remark-2 = "[From page 109, about the HP-2116 computer]: ``The floating point processor, which was given model number 2152A, consisted of ten 8-inch by 8-inch printed circuit boards, each containing about 50 integrated circuit packages, in a box about 12 inches high, 16 inches wide, and 24 inches deep. It weighed about 80 pounds. \ldots{} The logic drew 30 amps from the power supply.''", remark-3 = "From page 110: ``I applied for and was granted a patent [US Patent 3,766,370: filing date May 14, 1971, issue date Oct 16, 1973] for the 2152A, with HP as the assignee. The patent, which was over 200 pages in length, contained all the information needed for someone skilled in logic design to recreate the hardware, including the microprogram. \ldots{} I was told by one lawyer that, because of the patent, I had become known in patent-law circles as the father of the math co-processor industry that sprang up in Silicon Valley.", remark-4 = "From page 111: ``I spent my Christmas vacation writing the [unified CORDIC] paper \cite{Walther:1971:UAE}. A few months later I learned that I had won the conference's best paper award. \ldots{} The response to the paper was amazing. It was included in a book called `The Best Computer Papers of 1971' by Auerbach Publishers [7], and it was included in the textbook `Computer Arithmetic' by Hwang [8]. I received word that it was being taught in Computer Science classes on computer arithmetic, and for years afterward I received letters about the paper.''", ZBmath = "1630220", } @InProceedings{Wu:2000:MVR, author = "Cheng-Shing Wu and An-Yeu Wu", booktitle = "{2000 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Modified vector rotational {CORDIC} ({MVR-CORDIC}) algorithm and its application to {FFT}", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "529--532 (vol. 4)", year = "2000", DOI = "https://doi.org/10.1109/ISCAS.2000.858805", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Approximation algorithms; Digital arithmetic; Distortion; Hardware; Iterative algorithms; Iterative methods; Noise level; Quantization; Vectors", } @InProceedings{Wu:2000:NRV, author = "Cheng-Shing Wu and An-Yeu Wu", booktitle = "{Proceedings of Second IEEE Asia Pacific Conference on ASICs. AP-ASIC 2000 (Cat. No. 00EX434)}", title = "A novel rotational {VLSI} architecture based on extended elementary angle set {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "111--114", year = "2000", DOI = "https://doi.org/10.1109/APASIC.2000.896921", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Asia; Computer architecture; Difference equations; Hardware; Iterative algorithms; Iterative methods; Quantization; Very large scale integration", } @Article{Banerjee:2001:FRC, author = "Ayan Banerjee and Anindya {Sundar Dhar} and Swapna Banerjee", title = "{FPGA} realization of a {CORDIC} based {FFT} processor for biomedical signal processing", journal = j-MICROPROC-MICROSYS, volume = "25", number = "3", pages = "131--142", year = "2001", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/S0141-9331(01)00106-5", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933101001065", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "Biomedical signal processing; CORDIC; FFT; FPGA", } @InProceedings{Chakraborty:2001:CRT, author = "M. Chakraborty and A. S. Dhar and S. Pervin", booktitle = "{2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No. 01CH37221)}", title = "{CORDIC} realization of the transversal adaptive filter using a trigonometric {LMS} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1225--1228 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/ICASSP.2001.941145", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Array signal processing; Filtering; Finite impulse response filter; Hardware; Hypercubes; Least squares approximation; Mean square error methods; Signal processing algorithms; Transversal filters", } @InProceedings{Chakraborty:2001:HLA, author = "M. Chakraborty and S. Pervin and T. S. Lamba", booktitle = "{Proceedings of the 11th IEEE Signal Processing Workshop on Statistical Signal Processing (Cat. No. 01TH8563)}", title = "A hyperbolic {LMS} algorithm for {CORDIC} based realization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "373--376", year = "2001", DOI = "https://doi.org/10.1109/SSP.2001.955300", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Arithmetic; Convergence; Finite impulse response filter; Least squares approximation; Mean square error methods; Numerical stability; Signal processing algorithms; Time varying systems; Transversal filters", } @InProceedings{Chuang:2001:DCB, author = "Tso-Pin Chuang and Chao-Chuan Huang and Shen-Fu Hsiao", booktitle = "{Proceedings of the 27th European Solid-State Circuits Conference, 18--20 September 2001, Villach, Austria}", title = "Design of a {CORDIC}-based {SIN\slash COS} intellectual property ({IP}) using predictable sign bits", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "277--280", year = "2001", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/1471387/", acknowledgement = ack-nhfb, keywords = "Chaos; Computer architecture; Computer science; Design engineering; Field programmable gate arrays; Hardware; Intellectual property; Silicon compounds; Very large scale integration", } @Article{Dietmayer:2001:IOD, author = "Klaus C. J. Dietmayer", title = "Integrated online diagnosis for {AMR}-based angular measurement systems", journal = "Sensors and Actuators A: Physical", volume = "91", number = "1", pages = "12--15", year = "2001", DOI = "https://doi.org/10.1016/S0924-4247(01)00507-6", ISSN = "0924-4247", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Third European Conference on Magnetic Sensors \& Actuators.", URL = "https://www.sciencedirect.com/science/article/pii/S0924424701005076", acknowledgement = ack-nhfb, keywords = "Anisotropic magnetoresistive effect; Contact-less angle measurement; Online diagnosis", } @Article{Eklund:2001:CEF, author = "Neil Eklund", title = "{CORDIC}: elementary function computation using recursive sequences", journal = j-COLLEGE-MATH-J, volume = "32", number = "5", pages = "330--333", month = nov, year = "2001", DOI = "https://doi.org/10.1080/07468342.2001.11921899; https://doi.org/10.2307/2687303", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", MRclass = "26A09 33B10 65D20 65Y10", MRnumber = "1868594", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1002.65028", acknowledgement = ack-nhfb, fjournal = "The College Mathematics Journal", journal-URL = "https://maa.tandfonline.com/loi/ucmj20; https://www.jstor.org/journal/collmathj", ZBmath = "1750299", } @InProceedings{Jung:2001:HSC, author = "Gunok Jung and Seonki Kim and G. E. Sobelman", booktitle = "{2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No. 01CH37221)}", title = "High-speed {CORDIC} implementations using advanced circuit techniques", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1237--1240 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/ICASSP.2001.941148", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit simulation; Circuit synthesis; Clocks; Difference equations; Latches; Logic; Power dissipation; Pulse circuits; Standards development; Throughput", } @InProceedings{Kabulepa:2001:LBA, author = "L. D. Kabulepa and T. Kella and M. Glesner", booktitle = "{IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No. 01CH37211)}", title = "Lower bound on the accuracy of the {CORDIC}-based frequency offset compensation in burst oriented {OFDM} systems", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "839--842 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/VTC.2001.956890", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AWGN; Baseband; Computational modeling; Frequency estimation; Frequency synchronization; Hardware; Maximum likelihood estimation; OFDM; Phase estimation; Timing", } @InProceedings{Kabulepa:2001:NAC, author = "L. D. Kabulepa and T. Kella and T. Pionteck and R. Ludewig and J. Becker and J. Plechinger and M. Glesner", booktitle = "{ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No. 01EX483)}", title = "On the numerical accuracy of {CORDIC}-based frequency offset compensation in burst oriented {OFDM} systems", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1069--1072 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/ICECS.2001.957678", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Computer architecture; Computer errors; Fading; Frequency estimation; Frequency synchronization; Hardware; Microelectronics; OFDM modulation; Very large scale integration", } @InProceedings{Kadam:2001:CID, author = "S. Kadam and M. Soderstrand and L. Johnson", booktitle = "{Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat. No. 01CH37256)}", title = "{CORDIC} implementation of digital heterodyne filter in {VLSI}", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "529--532 (vol. 1)", year = "2001", DOI = "https://doi.org/10.1109/ACSSC.2001.986980", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Demodulation; Digital filters; Equations; H infinity control; Hardware; Iterative algorithms; Iterative methods; Very large scale integration", } @Unpublished{Kahan:2001:PDA, author = "William Kahan", title = "Pseudo-Division Algorithms for Floating-Point Logarithms and Exponentials", pages = "8", day = "20", month = may, year = "2001", bibdate = "Sat Aug 23 06:17:04 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://ieeemilestones.ethw.org/w/images/3/30/Wk_pseudo_division_log_exp_may01.pdf", abstract = "Among the CORDIC-like algorithms for computing elementary transcendental functions like log and exp, certain pseudo-division algorithms are peculiarly well suited to implementation in microcode or in conjunction with software-implemented floating-point arithmetic. These algorithms need tables of comparatively modest size; they are almost as fast as the fastest digit-by-digit algorithms known; and they can achieve accuracy to within a unit or two in the last sig. bit carried. Algorithms like these are used by the Intel 8087 family of numeric coprocessors. This document is for people who wish to imitate or surpass them.", acknowledgement = ack-nhfb, } @InProceedings{Kharrat:2001:NMI, author = "M. W. Kharrat and M. Loulou and N. Masmoudi and L. Kamoun", booktitle = "{ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No. 01EX483)}", title = "A new method to implement {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "715--718 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/ICECS.2001.957575", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Bismuth; Discrete Fourier transforms; Equations; Field programmable gate arrays; Optimization methods; Performance gain; Silicon", } @InProceedings{Kwak:2001:TST, author = "Jae-Hyuck Kwak and V. Piuri and E. E. Swartzlander", booktitle = "{2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No. 01CH37221)}", title = "Time-shared {TMR} for fault-tolerant {CORDIC} processors", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1241--1244 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/ICASSP.2001.941149", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuit faults; Complexity theory; Error correction; Fault tolerance; Hardware; Pipeline processing; Redundancy; Throughput; Vectors", } @InProceedings{Lang:2001:HTR, author = "Tom{\'a}s Lang and E. Antelo", editor = "????", booktitle = "Conference Record of the 35th Asilomar Conference on Signals, Systems and Computers", title = "High-throughput {3D} rotations and normalizations", publisher = "????", address = "????", pages = "846--851", year = "2001", bibdate = "Wed Oct 29 08:04:50 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Paplinski:2001:RUS, author = "A. P. Paplinski and N. Bhattacharjee and C. Greif", booktitle = "{Proceedings Euromicro Symposium on Digital Systems Design}", title = "Rotating ultrasonic signal vectors with a word-parallel {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "254--261", year = "2001", DOI = "https://doi.org/10.1109/DSD.2001.952290", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer science; Frequency; Iterative algorithms; Phased arrays; Sensor arrays; Signal processing; Signal processing algorithms; Testing; Ultrasonic imaging; Ultrasonic transducer arrays", } @InProceedings{Park:2001:DPF, author = "Sang Yoon Park and Nam Ik Cho and Sang Uk Lee and Kichul Kim and Jisung Oh", booktitle = "{2001 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing (IEEE Cat. No. 01CH37233)}", title = "Design of {2K\slash 4K\slash 8K}-point {FFT} processor based on {CORDIC} algorithm in {OFDM} receiver", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "457--460 (vol. 2)", year = "2001", DOI = "https://doi.org/10.1109/PACRIM.2001.953668", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Demodulation; Digital audio broadcasting; Digital video broadcasting; Discrete Fourier transforms; Discrete transforms; Fast Fourier transforms; OFDM modulation; Read only memory; Signal processing algorithms", } @Article{Shiraishi:2001:INA, author = "Shin'ichi Shiraishi and Miki Haseyama and Hideo Kitajima", title = "An implementation of a normalized {ARMA} lattice filter with a {CORDIC} algorithm", journal = "Electronics and Communications in Japan (Part III: Fundamental Electronic Science)", volume = "84", number = "4", pages = "76--86", year = "2001", DOI = "https://doi.org/10.1002/1520-6440(200104)84:4<76::AID-ECJC9>3.0.CO;2-G", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1002/1520-6440%28200104%2984%3A4%3C76%3A%3AAID-ECJC9%3E3.0.CO%3B2-G", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1002/1520-6440%28200104%2984%3A4%3C76%3A%3AAID-ECJC9%3E3.0.CO%3B2-G", keywords = "CORDIC, ARMA lattice filter, VLSI", } @InBook{Vankka:2001:CA, author = "Jouko Vankka and Kari Halonen", booktitle = "Direct Digital Synthesizers", title = "{CORDIC} Algorithm", publisher = "Springer US", pages = "23--32", year = "2001", DOI = "https://doi.org/10.1007/978-1-4757-3395-2_4", ISBN = "1-4757-3395-X", ISBN-13 = "978-1-4757-3395-2", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Wu:2001:MVR, author = "Cheng-Shing Wu and An-Yeu Wu", title = "Modified vector rotational {CORDIC} ({MVR-CORDIC}) algorithm and architecture", journal = j-IEEE-TRANS-CIRCUITS-SYST-2, volume = "48", number = "6", pages = "548--561", year = "2001", CODEN = "ICSPE5", DOI = "https://doi.org/10.1109/82.943326", ISSN = "1057-7130 (print), 1558-125X (electronic)", ISSN-L = "1057-7130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. 2, Analog and Digital Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=82", keywords = "Computer architecture; Digital arithmetic; Digital filters; Digital signal processing; Hardware; Iterative algorithms; Lattices; Quantization; Vectors; Very large scale integration", } @InProceedings{Wu:2001:NTB, author = "Cheng-Shing Wu and An-Yeu Wu", booktitle = "{2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No. 01CH37221)}", title = "A novel trellis-based searching scheme for {EEAS}-based {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1229--1232", year = "2001", DOI = "https://doi.org/10.1109/ICASSP.2001.941146", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Computer errors; Computer simulation; Constraint optimization; Digital arithmetic; Greedy algorithms; Hardware; Iterative algorithms; Iterative methods; Viterbi algorithm", } @InProceedings{Wu:2001:UDF, author = "An-Yeu Wu and Cheng-Shing Wu", booktitle = "{2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No. 01CH37221)}", title = "A unified design framework for vector rotational {CORDIC} family based on angle quantization process", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1233--1236", year = "2001", DOI = "https://doi.org/10.1109/ICASSP.2001.941147", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Bismuth; Circuits; Degradation; Digital filters; Digital signal processing; Discrete cosine transforms; Quantization; Signal processing algorithms; Very large scale integration", } @InProceedings{Yang:2001:LCB, author = "Yi Yang and Chunyan Wang and M. Omair Ahmad and M. N. S. Swamy", booktitle = "{Proceedings of the Sixth International Symposium on Signal Processing and its Applications (Cat. No. 01EX467)}", title = "An on-line {CORDIC} based 2-D {IDCT} implementation using distributed arithmetic", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "296--299", year = "2001", DOI = "https://doi.org/10.1109/ISSPA.2001.949836", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; CMOS technology; Computational modeling; Computer architecture; Discrete cosine transforms; Hardware; Read only memory; Throughput; Two dimensional displays; Very large scale integration", } @InProceedings{Yeary:2001:DCP, author = "M. B. Yeary", booktitle = "{IMTC 2001. Proceedings of the 18th IEEE Instrumentation and Measurement Technology Conference. Rediscovering Measurement in the Age of Informatics (Cat. No. 01CH 37188)}", title = "Design of a {CORDIC} processor for mixed-signal {A/D} conversion", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "733--737", year = "2001", DOI = "https://doi.org/10.1109/IMTC.2001.928176", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit testing; Clocks; Computer simulation; Frequency synchronization; Frequency synthesizers; Phase noise; Read only memory; Signal generators; Signal resolution; Timing", } @InProceedings{Euh:2002:CVI, author = "Jeongseon Euh and J. Chittamuru and W. Burleson", booktitle = "{IEEE Workshop on Signal Processing Systems}", title = "{CORDIC} vector interpolator for power-aware {3D} computer graphics", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "240--245", year = "2002", DOI = "https://doi.org/10.1109/SIPS.2002.1049716", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Computer graphics; Degradation; Energy consumption; Hardware; Humans; Image quality; Interpolation; Signal processing algorithms; Visual perception", } @Article{Gisuthan:2002:PFC, author = "Bimal Gisuthan and Thambipillai Srikanthan", title = "Pipelining flat {CORDIC} based trigonometric function generators", journal = j-MICROELECT-J, volume = "33", number = "1", pages = "77--89", year = "2002", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/S0026-2692(01)00107-0", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0026269201001070", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "CORDIC; Flat CORDIC; Hyperbolic functions; Pipelining; Trigonometric functions", } @InProceedings{Grass:2002:DMS, author = "E. Grass and B. Sarker and K. Maharatna", booktitle = "{Proceedings Eighth International Symposium on Asynchronous Circuits and Systems}", title = "A dual-mode synchronous\slash asynchronous {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "76--83", year = "2002", DOI = "https://doi.org/10.1109/ASYNC.2002.1000298", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Baseband; Broadband communication; Communication standards; Crosstalk; Hardware; Modems; OFDM; Power dissipation; Software radio", } @InProceedings{Kang:2002:ACA, author = "Chang Yong Kang and E. E. Swartzlander", booktitle = "{Proceedings IEEE International Conference on Application- Specific Systems, Architectures, and Processors}", title = "An analysis of the {CORDIC} algorithm for direct digital frequency synthesis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "111--119", year = "2002", DOI = "https://doi.org/10.1109/ASAP.2002.1030709", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Analog-digital conversion; Artificial intelligence; Digital filters; Digital-to-frequency converters; Frequency conversion; Frequency synthesizers; Low pass filters", } @InProceedings{Kim:2002:DJE, author = "Minseok Kim and K. Ichige and H. Arai", booktitle = "{The 13th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications}", title = "Design of {Jacobi} {EVD} processor based on {CORDIC} for {DOA} estimation with {MUSIC} algorithm", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "120--124", year = "2002", DOI = "https://doi.org/10.1109/PIMRC.2002.1046673", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive arrays; Adaptive signal processing; Algorithm design and analysis; Direction of arrival estimation; Directive antennas; Eigenvalues and eigenfunctions; Jacobian matrices; Multiple signal classification; Signal processing algorithms; Symmetric matrices", } @Article{Kuhlmann:2002:PCP, author = "Martin Kuhlmann and Keshab K. Parhi", title = "{P-CORDIC}: a Precomputation Based Rotation {CORDIC} Algorithm", journal = j-EURASIP-J-ADV-SIGNAL-PROCESS, volume = "2002", number = "9", pages = "936--943", month = sep, year = "2002", DOI = "https://doi.org/10.1155/s1110865702205028", ISSN = "1687-6172 (print), 1687-6180 (electronic)", ISSN-L = "1687-6172", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1060.65696", acknowledgement = ack-nhfb, fjournal = "EURASIP Journal on Advances in Signal Processing", journal-URL = "http://asp.eurasipjournals.springeropen.com/", keywords = "65T50", ZBmath = "2163739", } @InProceedings{Lund:2002:MUC, author = "T. Lund and M. Aguirre and A. Torralba", booktitle = "{IEEE 2002 28th Annual Conference of the Industrial Electronics Society. IECON 02}", title = "Making use of {CORDICs} and distributed arithmetic to produce a field-programmable fuzzy logic controller in an {FPGA}", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3205--3208", year = "2002", DOI = "https://doi.org/10.1109/IECON.2002.1182911", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuits; Digital signal processing; Distributed computing; Field programmable gate arrays; Fuzzy control; Fuzzy logic; Hardware; Iterative algorithms; Signal processing algorithms", } @InProceedings{Mondwurf:2002:BCA, author = "S. W. Mondwurf", booktitle = "{Proceedings of the Fourth IEEE International Caracas Conference on Devices, Circuits and Systems (Cat. No. 02TH8611)}", title = "Benefits of the {CORDIC}-algorithm in a versatile {COFDM} modulator\slash demodulator design", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "T026--T026", year = "2002", DOI = "https://doi.org/10.1109/ICCDCS.2002.1004111", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Communication standards; Data communication; Demodulation; Digital modulation; Digital multimedia broadcasting; DSL; Modulation coding; Multiplexing; Oscillators; Programmable logic arrays", } @Article{Mondwurf:2002:VCD, author = "S. W. Mondwurf", title = "Versatile {COFDM} demodulator design based on the {CORDIC-algorithm}", journal = j-IEEE-TRANS-CONSUMER-ELECTRONICS, volume = "48", number = "3", pages = "718--723", year = "2002", CODEN = "ITCEDA", DOI = "https://doi.org/10.1109/TCE.2002.1037066", ISSN = "0098-3063 (print), 1558-4127 (electronic)", ISSN-L = "0098-3063", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Consumer Electronics", keywords = "Communication standards; Data communication; Demodulation; Digital modulation; Digital multimedia broadcasting; DSL; Multiplexing; Oscillators; Programmable logic arrays; Table lookup", } @InProceedings{Mondwurf:2002:VCM, author = "S. W. Mondwurf", booktitle = "{2002 Digest of Technical Papers. International Conference on Consumer Electronics (IEEE Cat. No. 02CH37300)}", title = "Versatile {COFDM} modulator\slash demodulator design based on the {CORDIC}-algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "362--363", year = "2002", DOI = "https://doi.org/10.1109/ICCE.2002.1014066", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Communication standards; Data communication; Demodulation; Digital multimedia broadcasting; Digital video broadcasting; DSL; Information technology; Multiplexing; Programmable logic devices", } @InProceedings{Pineiro:2002:HRL, author = "J.-A. Pineiro and Milo{\v{s}} D. Ercegovac and J. D. Bruguera", booktitle = "{The IEEE International Conference on Application-Specific Systems, Architectures and Processors, 2002. Proceedings. 17--19 July 2002, San Jose, CA, USA }", title = "High-radix logarithm with selection by rounding", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "101--110", year = "2002", CODEN = "????", DOI = "https://doi.org/10.1109/ASAP.2002.1030708", ISBN = "0-7695-1712-9", ISBN-13 = "978-0-7695-1712-4", ISSN = "2160-0511", bibdate = "Sat Jul 16 11:25:05 MDT 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "https://ieeexplore.ieee.org/document/1030708/", acknowledgement = ack-nhfb, summary = "A high-radix digit-recurrence algorithm or the computation of the logarithm is presented in this paper. Selection by rounding is used in iterations j/spl ges/2, and selection by table in the first iteration is combined with a restricted digit-set \ldots{}", } @InProceedings{Ravichandran:2002:IUC, author = "S. Ravichandran and V. Asari", booktitle = "{The 2002 45th Midwest Symposium on Circuits and Systems, 2002. MWSCAS-2002.}", title = "Implementation of unidirectional {CORDIC} algorithm using precomputed rotation bits", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "III--III", year = "2002", DOI = "https://doi.org/10.1109/MWSCAS.2002.1187071", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Clocks; Computer architecture; Digital signal processing; Equations; Hardware; Iterative algorithms; Power engineering computing; Signal processing algorithms", } @InProceedings{Shiraishi:2002:CEH, author = "S. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No. 02CH37353)}", title = "A cost-effective and high-precision architecture for {CORDIC}-based adaptive lattice filters", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "V--V", year = "2002", DOI = "https://doi.org/10.1109/ISCAS.2002.1010699", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Application specific integrated circuits; Digital filters; Hardware; Iterative algorithms; Lattices; Signal processing algorithms; Transversal filters; Very large scale integration; Zinc", } @Article{Srikanthan:2002:NTE, author = "T. Srikanthan and B. Gisuthan", title = "A novel technique for eliminating iterative based computation of polarity of micro-rotations in {CORDIC} based sine--cosine generators", journal = j-MICROPROC-MICROSYS, volume = "26", number = "5", pages = "243--252", year = "2002", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/S0141-9331(02)00026-1", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933102000261", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "Co-ordinate rotation digital computer; Signed-digit pre-computation; Sine--cosine generator; Split Decomposition Algorithm", } @InProceedings{Vadlamani:2002:CCA, author = "S. Vadlamani and W. Mahmoud", booktitle = "{Proceedings of the Thirty-Fourth Southeastern Symposium on System Theory (Cat. No. 02EX540)}", title = "Comparison of {CORDIC} algorithm implementations on {FPGA} families", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "192--196", year = "2002", DOI = "https://doi.org/10.1109/SSST.2002.1027033", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Costs; Digital signal processing; Equations; Field programmable gate arrays; Hardware; Iterative algorithms; Microprocessors; Pipeline processing; Signal processing algorithms; Throughput", } @Article{Valls:2002:ECA, author = "Javier Valls and Martin Kuhlmann and Keshab K. Parhi", title = "Evaluation of {CORDIC} Algorithms for {FPGA} Design", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "32", number = "3", pages = "207--222", month = nov, year = "2002", DOI = "https://doi.org/10.1023/a:1020205217934", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1014.68001", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68M07", ZBmath = "1845467", } @Article{Wu:2002:UVV, author = "An-Yeu Wu and Cheng-Shing Wu", title = "A unified view for vector rotational {CORDIC} algorithms and architectures based on angle quantization approach", journal = j-IEEE-TRANS-CIRCUITS-SYST-I-FUNDAM-THEORY-APPL, volume = "49", number = "10", pages = "1442--1456", year = "2002", CODEN = "ITCAEX", DOI = "https://doi.org/10.1109/TCSI.2002.803363", ISSN = "1057-7122 (print), 1558-1268 (electronic)", ISSN-L = "1057-7122", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications", keywords = "Adders; Algorithm design and analysis; Arithmetic; Circuits; Computer architecture; Degradation; Digital signal processing; Quantization; Signal processing algorithms; Very large scale integration", } @MastersThesis{Yang:2002:DAB, author = "Yi Yang", title = "A distributed arithmetic-based {CORDIC} algorithm and its use in the {FPGA} implementation of the {2-D IDCT}", type = "{M.A.Sc.} thesis", school = "Concordia University", address = "Montreal, QC, Canada", pages = "90", year = "2002", ISBN = "0-612-68448-2", ISBN-13 = "978-0-612-68448-5", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/distributed-arithmetic-based-cordic-algorithm-use/docview/305477205/se-2", acknowledgement = ack-nhfb, advisor = "M. O. Ahmad and C. Wang", keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "MQ68448", } @InProceedings{Yang:2002:FIL, author = "Yi Yang and Chunyan Wang and M. Omai Ahmad and M. N. S. Swamy", booktitle = "{2002 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "An {FPGA} implementation of an on-line radix-4 {CORDIC 2-D} {IDCT} core", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "IV--IV", year = "2002", DOI = "https://doi.org/10.1109/ISCAS.2002.1010569", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Decoding; Discrete cosine transforms; Field programmable gate arrays; Read only memory; Transform coding; Very large scale integration; Video codecs; Video compression", } @Article{Yeary:2002:DCP, author = "M. B. Yeary and R. J. Fink and H. Sundaresan and D. W. Guidry", title = "Design of a {CORDIC} processor for mixed-signal {A/D} conversion", journal = j-IEEE-TRANS-INSTRUM-MEAS, volume = "51", number = "4", pages = "804--809", year = "2002", CODEN = "IEIMAO", DOI = "https://doi.org/10.1109/TIM.2002.803399", ISSN = "0018-9456 (print), 1557-9662 (electronic)", ISSN-L = "0018-9456", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Instrumentation and Measurement", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=19", keywords = "Analog-digital conversion; Clocks; Computer simulation; Frequency synchronization; Frequency synthesizers; Laboratories; Read only memory; Signal generators; Testing; Timing", } @Article{Yu:2002:SDA, author = "Sungwook Yu and E. E. Swartzlander", title = "A scaled {DCT} architecture with the {CORDIC} algorithm", journal = j-IEEE-TRANS-SIG-PROC, volume = "50", number = "1", pages = "160--167", year = "2002", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.972492", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Computer architecture; Discrete cosine transforms; Discrete Fourier transforms; Discrete transforms; Hardware; Image coding; Karhunen-Loeve transforms; Speech coding; Two dimensional displays", } @InProceedings{Zhana:2002:IFO, author = "H. Zhana and Z. Wang and S. S. Chandra", booktitle = "{The 8th International Conference on Communication Systems, 2002. ICCS 2002.}", title = "Implementation of frequency offset correction using {CORDIC} algorithm for 5 {GHz} {WLAN} applications", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "983--987 (vol. 2)", year = "2002", DOI = "https://doi.org/10.1109/ICCS.2002.1183280", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit testing; Delay; Frequency estimation; Frequency synchronization; Hardware; OFDM; Streaming media; Timing; Wide area networks; Wireless LAN", } @InProceedings{Arrigo:2003:AMC, author = "J. F. Arrigo and P. M. Chau", booktitle = "{The Thirty-Seventh Asilomar Conference on Signals, Systems \& Computers, 2003}", title = "Accurate motion capture at high rotational rates using the {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2203--2207", year = "2003", DOI = "https://doi.org/10.1109/ACSSC.2003.1292371", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation methods; Attitude control; Computer displays; Equations; Kinematics; Micromechanical devices; Navigation; Position measurement; Quaternions; Remotely operated vehicles", } @InProceedings{Cadenas:2003:PPG, author = "O. Cadenas and G. Megson", booktitle = "{2003 5th International Conference on ASIC Proceedings}", title = "Power performance with gated clocks of a pipelined {CORDIC} core", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1226--1230", year = "2003", DOI = "https://doi.org/10.1109/ICASIC.2003.1277435", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Chen:2003:ACA, author = "Chuen-Yau Chen and Wen-Chih Liu", booktitle = "{2003 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Architecture for {CORDIC} algorithm realization without {ROM} lookup tables", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "IV--IV", year = "2003", DOI = "https://doi.org/10.1109/ISCAS.2003.1206137", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Communication system control; Computer architecture; Control systems; Hardware; Power engineering and energy; Read only memory; Table lookup", } @Article{Chih:2003:FCA, author = "Jen-Chuan Chih and Sau-Gee Chen", title = "Fast {CORDIC} Algorithm Based on a New Recoding Scheme for Rotation Angles and Variable Scale Factors", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "33", number = "1--2", pages = "19--29", month = jan, year = "2003", DOI = "https://doi.org/10.1023/a:1021185600444", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1062.68503", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image, and Video Technology", journal-URL = "https://link.springer.com/journal/11265", keywords = "68M07", ZBmath = "1970975", } @Article{Jianchun:2003:SHS, author = "Chen Jianchun and Yang Wanhai and Xu Shaoying", title = "Study on high-speed magnitude approximation for complex vectors", journal = "Journal of Systems Engineering and Electronics", volume = "14", number = "1", pages = "81--85", year = "2003", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; CORDIC; Fitting; Least mean square error criterion; Least squares approximation; Linear approximation; Mean square error methods; Modulus of complex number; Registers", } @PhdThesis{Kang:2003:CBH, author = "Chang Yong Kang", title = "{CORDIC}-based high-speed direct digital frequency synthesis", type = "{Ph.D.} thesis", school = "The University of Texas at Austin", address = "Austin, TX, USA", pages = "108", year = "2003", ISBN = "0-496-63532-8", ISBN-13 = "978-0-496-63532-0", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-based-high-speed-direct-digital-frequency/docview/305301506/se-2", acknowledgement = ack-nhfb, advisor = "Swartzlander, Earl E., Jr.", keywords = "0544:Electrical engineering; Applied sciences; Coordinate rotation digital computer; Direct digital synthesis; Electrical engineering; High-speed", ris-m1 = "3116096", } @InProceedings{Kebbati:2003:AEA, author = "H. S. Kebbati and J. P. Blonde and F. Braun", booktitle = "{10th IEEE International Conference on Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003}", title = "Area efficient and accurate {CORDIC} processor for motor control drive", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "212--215", year = "2003", DOI = "https://doi.org/10.1109/ICECS.2003.1302014", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; Computer errors; Delay; Hardware; Iterative algorithms; Motor drives; Pulse width modulation; Signal processing algorithms; Space vector pulse width modulation", } @InProceedings{Khayatzadeh:2003:SCD, author = "A. Khayatzadeh and H. S. Shahhoseini and M. Naderi", booktitle = "{Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings.}", title = "Systolic {CORDIC} {DCT}: an effective method for computing {2d-DCT}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "193--196", year = "2003", DOI = "https://doi.org/10.1109/ISSPA.2003.1224848", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Concurrent computing; Discrete cosine transforms; Equations; Hardware; Image coding; Parallel processing; Speech processing; Systolic arrays; Transform coding", } @InProceedings{Lin:2003:MSR, author = "Zhi-Xiu Lin and An-Yeu Wu", booktitle = "{2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).}", title = "Mixed-scaling-rotation {CORDIC} ({MSR-CORDIC}) algorithm and architecture for scaling-free high-performance rotational operations", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-653", year = "2003", DOI = "https://doi.org/10.1109/ICASSP.2003.1202451", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational modeling; Computer architecture; Digital arithmetic; Eigenvalues and eigenfunctions; Filtering algorithms; Hardware; Iterative algorithms; Quantization; Singular value decomposition; System performance", } @InProceedings{Liu:2003:CBA, author = "Z. Liu and K. Dickson and J. V. McCanny", booktitle = "{The Thirty-Seventh Asilomar Conference on Signals, Systems \& Computers, 2003}", title = "{CORDIC} based application specific instruction set processor for {QRD\slash SVD}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1456--1460 (vol. 2)", year = "2003", DOI = "https://doi.org/10.1109/ACSSC.2003.1292227", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Application specific processors; Arithmetic; Computer architecture; Hardware; Information technology; Jacobian matrices; Matrix decomposition; Process design; Silicon", } @InProceedings{Liu:2003:FPC, author = "Z. Liu and K. Dickson and J. V. McCanny", booktitle = "{Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003}", title = "A floating-point {CORDIC} based {SVD} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "194--203", year = "2003", DOI = "https://doi.org/10.1109/ASAP.2003.1212843", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Concurrent computing; Digital signal processing; Floating-point arithmetic; Hardware; Jacobian matrices; Laboratories; Pipeline processing; Silicon; Singular value decomposition", } @InBook{Mingqian:2003:CBQ, author = "Tim Zhong Mingqian and A. S. Madhukumar and Fran{\c{c}}ois Chin", booktitle = "Mobile and Wireless Communications", title = "{CORDIC} based {QRD-RLS} Adaptive Equalizer for {CDMA} Systems", publisher = "Springer US", pages = "249--256", year = "2003", DOI = "https://doi.org/10.1007/978-0-387-35618-1_30", ISBN = "0-387-35618-5", ISBN-13 = "978-0-387-35618-1", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Park:2003:FPEa, author = "Sang Yoon Park and Nam Ik Cho", booktitle = "{2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03).}", title = "Fixed point error analysis of {CORDIC} processor based on the variance propagation", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-565--II-568", year = "2003", DOI = "https://doi.org/10.1109/ICASSP.2003.1202429", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Analytical models; Application software; Computational modeling; Digital filters; Digital signal processing; Error analysis; OFDM; Signal design; Signal processing; Signal processing algorithms; Upper bound", } @InProceedings{Park:2003:FPEb, author = "Sang Yoon Park and Nam Ik Cho", booktitle = "{2003 International Conference on Multimedia and Expo. ICME '03. Proceedings (Cat. No. 03TH8698)}", title = "Fixed point error analysis of {CORDIC} processor based on the variance propagation", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-833", year = "2003", DOI = "https://doi.org/10.1109/ICME.2003.1221746", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Analytical models; Application software; Computational modeling; Digital filters; Digital signal processing; Error analysis; OFDM; Signal design; Signal processing; Signal processing algorithms", } @InProceedings{Pineiro:2003:HRI, author = "J.-A. Pi{\~n}eiro and Milo{\v{s}} D. Ercegovac and J. D. Bruguera", title = "High-radix iterative algorithm for powering computation", crossref = "Bajard:2003:ISC", pages = "204--211", year = "2003", bibdate = "Wed Nov 26 12:04:35 MST 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.acsel-lab.com/arithmetic/arith16/papers/ARITH16_Pineiro.pdf", abstract = "A high-radix composite algorithm for the computation of the powering function ($ X^Y $) is presented in this paper. The algorithm consists of a sequence of overlapped operations: (i) digit-recurrence logarithm, (ii) left-to-right carry-free (LRCF) multiplications, and (iii) on-line exponential. A redundant number system is used, and the selection in (i) and (iii) is done by rounding except from the first iteration, when selection by table look-up is necessary to guarantee the convergence of the recurrences. A sequential implementation of the algorithm is proposed, and the execution times and hardware requirements are estimated for single and double-precision floating-point computations, for radix $ r = 128 $ showing that powering can be computed with similar performance as high-radix CORDIC algorithms.", acknowledgement = ack-nhfb, keywords = "ARITH-16", } @InProceedings{Ravichandran:2003:PCR, author = "S. Ravichandran and V. Asari", booktitle = "{IEEE Computer Society Annual Symposium on VLSI, 2003. Proceedings.}", title = "Pre-computation of rotation bits in unidirectional {CORDIC} for trigonometric and hyperbolic computations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "215--216", year = "2003", DOI = "https://doi.org/10.1109/ISVLSI.2003.1183472", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Clocks; Computer Society; Equations; Field programmable gate arrays; Hardware; Iterative algorithms; Logic; Registers; Very large scale integration", } @InProceedings{Shiraishi:2003:CAC, author = "S. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.}", title = "Convergence analysis of a {CORDIC}-based gradient adaptive lattice filter", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "IV--IV", year = "2003", DOI = "https://doi.org/10.1109/ISCAS.2003.1205891", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Computer architecture; Convergence; Equations; Estimation error; Hardware; Iterative algorithms; Lattices; Steady-state; Transversal filters", } @InProceedings{Sidahao:2003:AFE, author = "N. Sidahao and G. A. Constantinides and P. Y. K. Chelrng", editor = "????", booktitle = "International Symposium on Circuits \& Systems. Bangkok", title = "Architectures for Function Evaluation on {FPGAs}", publisher = "????", address = "????", pages = "804--807", year = "2003", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 06:06:08 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Singh:2003:CBC, author = "Abhishek Singh and D. S. Phatak and T. Goff and M. Riggs and J. Plusquellic and Chintan Patel", booktitle = "{Proceedings IEEE International Conference on Application-Specific Systems, Architectures, and Processors. ASAP 2003}", title = "Comparison of branching {CORDIC} implementations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "215--225", year = "2003", DOI = "https://doi.org/10.1109/ASAP.2003.1212845", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer science; Delay; Equations; Minimization methods", } @Article{Wu:2003:HPL, author = "Cheng-Shing Wu and An-Yeu Wu and Chih-Hsiu Lin", title = "A high-performance\slash low-latency vector rotational {CORDIC} architecture based on extended elementary angle set and trellis-based searching schemes", journal = j-IEEE-TRANS-CIRCUITS-SYST-2, volume = "50", number = "9", pages = "589--601", year = "2003", CODEN = "ICSPE5", DOI = "https://doi.org/10.1109/TCSII.2003.816923", ISSN = "1057-7130 (print), 1558-125X (electronic)", ISSN-L = "1057-7130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. 2, Analog and Digital Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=82", keywords = "Computer architecture; Digital arithmetic; Digital filters; Digital signal processing; Hardware; Iterative algorithms; Iterative methods; Lattices; Quantization; Signal processing algorithms", } @InProceedings{Yang:2003:DDF, author = "Wang Yang Wang Yang and Zhu ke jia Zhu ke jia and Min Hao Min Hao", booktitle = "{2003 5th International Conference on ASIC Proceedings}", title = "A direct digital frequency synthesizer based on {CORDIC} algorithm implemented with {FPGA}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "832--835 (vol. 2)", year = "2003", DOI = "https://doi.org/10.1109/ICASIC.2003.1277339", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Field programmable gate arrays; Frequency synthesizers; Mirrors; Read only memory; Tail", } @InProceedings{ZuoRen:2003:DMC, author = "Cheng ZuoRen Cheng ZuoRen and Gao Minglun Gao Minglun and Li Li Li Li and Zhang Duoli Zhang Duoli and Song Yukun Song Yukun", booktitle = "{2003 5th International Conference on ASIC Proceedings}", title = "A design of modified {CORDIC}-based cosine and sine generator", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "765--768 (vol. 2)", year = "2003", DOI = "https://doi.org/10.1109/ICASIC.2003.1277323", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @PhdThesis{Arbaugh:2004:TLC, author = "Jason Todd Arbaugh", title = "Table Look-up {CORDIC}: Effective rotations through angle partitioning", type = "{Ph.D.} thesis", school = "The University of Texas at Austin", address = "Austin, TX, USA", pages = "231", year = "2004", ISBN = "0-496-10260-5", ISBN-13 = "978-0-496-10260-0", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/table-look-up-cordic-effective-rotations-through/docview/305131572/se-2", acknowledgement = ack-nhfb, advisor = "Swartzlander, Earl E., Jr.", keywords = "0544:Electrical engineering; Angle partitioning; Applied sciences; CORDIC; Electrical engineering; Rotations; Table Look-up CORDIC", ris-m1 = "3150534", } @InProceedings{Boudabous:2004:IHF, author = "A. Boudabous and F. Ghozzi and M. W. Kharrat and N. Masmoudi", booktitle = "{Proceedings. The 16th International Conference on Microelectronics, 2004. ICM 2004.}", title = "Implementation of hyperbolic functions using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "738--741", year = "2004", DOI = "https://doi.org/10.1109/ICM.2004.1434772", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Calculators; Calculus; Computational modeling; Convergence; Design engineering; Equations; Field programmable gate arrays; Hardware; Information technology", } @InCollection{Edwards:2004:CCH, author = "Bruce H. Edwards and Jennifer Lieberman", booktitle = "{HERCMA 2003. Proceedings of the 6th Hellenic--European conference on computer mathematics and its applications, Athens, Greece, September 25--27, 2003}", title = "The convergence of the {CORDIC} hyperbolic algorithm", publisher = "Athens: LEA", pages = "538--542", year = "2004", ISBN = "960-87275-1-0; 960-87275-2-9; 960-87275-3-7", ISBN-13 = "978-960-87275-1-9; 978-960-87275-2-6; 978-960-87275-3-3", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1060.65031", acknowledgement = ack-nhfb, keywords = "65D20,26A09,33B10,33F05", ZBmath = "2130408", } @InCollection{Ercegovac:2004:CAI, author = "Milo{\v{s}} D. Ercegovac and Tom{\'a}s Lang", booktitle = "Digital Arithmetic", title = "{CORDIC} Algorithm and Implementations", chapter = "11", publisher = "Morgan Kaufmann", address = "San Francisco", pages = "608--648", year = "2004", DOI = "https://doi.org/10.1016/B978-155860798-9/50013-0", ISSN = "15459888", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", series = "The Morgan Kaufmann Series in Computer Architecture and Design", URL = "https://www.sciencedirect.com/science/article/pii/B9781558607989500130", acknowledgement = ack-nhfb, } @Book{Ercegovac:2004:DA, author = "Milo{\v{s}} Dragutin Ercegovac and Tom{\'a}s Lang", title = "Digital Arithmetic", publisher = pub-MORGAN-KAUFMANN, address = pub-MORGAN-KAUFMANN:adr, pages = "xxv + 709", year = "2004", ISBN = "1-55860-798-6", ISBN-13 = "978-1-55860-798-9", LCCN = "QA76.9.C62 E72 2004", bibdate = "Thu Jun 20 10:19:42 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", URL = "ftp://uiarchive.cso.uiuc.edu/pub/etext/gutenberg/; http://www.loc.gov/catdir/description/els031/2002114337.html; http://www.loc.gov/catdir/toc/els031/2002114337.html", acknowledgement = ack-nhfb, subject = "Computer arithmetic", tableofcontents = "Counter Preface \\ 1. Review of Basic Number Representations and Arithmetic Algorithms \\ 2. Two-Operand Addition \\ 3. Multi-Operand Addition \\ 4. Multiplication \\ 5. Division by Digit Recurrence \\ 6. Square Root by Digit Recurrence \\ 7. Reciprocal, Division, Reciprocal Square Root and Square Root by Iterative Approximation \\ 8. Floating-Point Representation, Algorithms, and Implementations \\ 9. Digit-Serial Arithmetic \\ 10. Function Evaluation \\ 11. CORDIC Algorithm and Implementations", } @InProceedings{Heyne:2004:PCB, author = "Benjamin Heyne and J{\"u}rgen G{\"o}tze", booktitle = "{2004 12th European Signal Processing Conference, 06--10 September 2004, Vienna, Austria}", title = "A pure {CORDIC} based {FFT} for reconfigurable digital signal processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1513--1516", year = "2004", ISBN = "3-200-00165-8", ISBN-13 = "978-3-200-00165-7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7079730/", acknowledgement = ack-nhfb, keywords = "3G mobile communication; Abstracts; Integrated circuits", } @Article{Hormigo:2004:CPV, author = "Javier Hormigo and Julio Villalba and Emilio L. Zapata", title = "{CORDIC} Processor for Variable-Precision Interval Arithmetic", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "37", number = "1", pages = "21--39", month = may, year = "2004", DOI = "https://doi.org/10.1023/b:vlsi.0000017001.88149.f4", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @Article{Hsiao:2004:MEH, author = "Shen-Fu Hsiao and Yu-Hen Hu and Tso-Bing Juang", title = "A memory-efficient and high-speed sine\slash cosine generator based on parallel {CORDIC} rotations", journal = j-IEEE-SIGNAL-PROCESS-LETT, volume = "11", number = "2", pages = "152--155", year = "2004", CODEN = "ISPLEM", DOI = "https://doi.org/10.1109/LSP.2003.821705", ISSN = "1070-9908 (print), 1558-2361 (electronic)", ISSN-L = "1070-9908", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97", keywords = "Arithmetic; Circuits; Computer science; Delay; Equations; Error correction; Frequency; Prediction algorithms; Read only memory; Signal generators", } @InBook{Janiszewski:2004:FEH, author = "Ireneusz Janiszewski and Hermann Meuth and Berhard Hoppe", booktitle = "Field Programmable Logic and Application", title = "{FPGA}-Efficient Hybrid {LUT\slash CORDIC} Architecture", publisher = pub-SV, address = pub-SV:adr, pages = "933--937", year = "2004", DOI = "https://doi.org/10.1007/978-3-540-30117-2_102", ISBN = "3-540-30117-8", ISBN-13 = "978-3-540-30117-2", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Juang:2004:CPC, author = "Tso-Bing Juang and Shen-Fu Hsiao and Ming-Yu Tsai", title = "{Para-CORDIC}: parallel {CORDIC} rotation algorithm", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "51", number = "8", pages = "1515--1524", year = "2004", DOI = "https://doi.org/10.1109/TCSI.2004.832734", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "94A12 (68W40)", MRnumber = "2090944", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1374.94526", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "94A12,68W40; Computer architecture; Computer science; Concurrent computing; Delay; Iterative algorithms; Matrix decomposition; Signal processing algorithms; Two dimensional displays; Vectors", ZBmath = "6809857", } @InProceedings{Lund:2004:FLC, author = "T. Lund and M. Aguirre and A. Torrala", booktitle = "{2004 IEEE International Symposium on Industrial Electronics}", title = "Fuzzy logic control via an {FPGA}: a design using techniques from digital signal processing", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "555--559 (vol. 1)", year = "2004", DOI = "https://doi.org/10.1109/ISIE.2004.1571867", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuits; Control systems; CORDIC; Digital signal processing; distributed arithmetic; Field programmable gate arrays; FPGA; Fuzzy control; fuzzy logic; Fuzzy logic; Hardware; Process design; Signal design", } @Article{Ma:2004:PCB, author = "Jun Ma and K. K. Parhi", title = "Pipelined {CORDIC}-based state-space orthogonal recursive digital filters using matrix look-ahead", journal = j-IEEE-TRANS-SIG-PROC, volume = "52", number = "7", pages = "2102--2119", year = "2004", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2004.828947", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Algorithm design and analysis; Application software; Digital filters; Digital signal processing; IIR filters; MIMO; Pipeline processing; Signal processing algorithms; Topology; Very large scale integration", } @InProceedings{Maharatna:2004:BCR, author = "K. Maharatna and A. Troya and S. Banerjee and E. Grass and M. Krstic", booktitle = "{2004 IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (IEEE Cat. No. 04TH8754)}", title = "A 16-bit {CORDIC} rotator for high-speed wireless {LAN}", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1747--1751 (vol. 3)", year = "2004", DOI = "https://doi.org/10.1109/PIMRC.2004.1368299", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Circuits; Convergence; Cost function; Equations; Frequency synchronization; Hardware; Research and development; Very large scale integration; Wireless LAN", } @InProceedings{Maharatna:2004:CLP, author = "K. Maharatna and A. Troya and M. Krstic and E. Grass and U. Jagdhold", booktitle = "{2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No. 04CH37512)}", title = "A {CORDIC} like processor for computation of arctangent and absolute magnitude of a vector", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-713", year = "2004", DOI = "https://doi.org/10.1109/ISCAS.2004.1329371", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Computer architecture; Computer errors; Convergence; Costs; Hardware; Iterative algorithms; Modems; Power generation economics; Very large scale integration", } @PhdThesis{Otte:2004:MSR, author = "Marius Otte", title = "{Matrixbasierte Signalverarbeitung auf rekonfigurierbaren CORDIC-Architekturen}. ({German}) [{Matrix}-based signal processing on reconfigurable {CORDIC} architectures]", type = "{Ph.D.} thesis", school = "Universit{\"a}t Dortmund", address = "Dortmund, Germany", year = "2004", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/matrixbasierte-signalverarbeitung-auf/docview/2343664056/se-2", acknowledgement = ack-nhfb, language = "German", ris-m1 = "27805667", } @Article{Park:2004:FPE, author = "Sang Yoon Park and Nam Ik Cho", title = "Fixed-point error analysis of {CORDIC} processor based on the variance propagation formula", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "51", number = "3", pages = "573--584", year = "2004", DOI = "https://doi.org/10.1109/TCSI.2003.820232", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "94A12 (68W35)", MRnumber = "2120694", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1374.94581", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "94A12,68W35; Algorithm design and analysis; Analysis of variance; Computer errors; Digital signal processing; Error analysis; Fast Fourier transforms; Signal analysis; Signal design; Signal processing algorithms; Signal to noise ratio", ZBmath = "6809836", } @Article{Sarrigeorgidis:2004:ULP, author = "Konstantinos Sarrigeorgidis and Jan Rabaey", title = "Ultra Low Power {CORDIC} Processor for Wireless Communication Algorithms", journal = j-J-VLSI-SIGNAL-PROC-SSIVT, volume = "38", number = "2", pages = "115--130", month = sep, year = "2004", DOI = "https://doi.org/10.1023/b:vlsi.0000040424.11334.34", ISSN = "1387-5485 (print), 1573-0506 (electronic)", ISSN-L = "1387-5485", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "J. VLSI Signal Process. Syst. Signal, Image Video Tech.", fjournal = "Journal of VLSI Signal Processing Systems for Signal, Image and Video Technology", journal-URL = "https://link.springer.com/journal/11265", } @InProceedings{Shiraishi:2004:CAT, author = "S. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{2004 IEEE Region 10 Conference TENCON 2004.}", title = "A convergence analysis technique for a {CORDIC}-based {ARMA} lattice filter", volume = "A", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "487--490 (vol. 1)", year = "2004", DOI = "https://doi.org/10.1109/TENCON.2004.1414463", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Filters; Lattices", } @InProceedings{Shiraishi:2004:CMC, author = "S. Shiraishi and M. Haseyama and H. Kitajima", booktitle = "{2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No. 04CH37512)}", title = "A convergence model for a {CORDIC}-based {ARMA} lattice filter", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "III-301", year = "2004", DOI = "https://doi.org/10.1109/ISCAS.2004.1328743", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Application specific integrated circuits; Convergence; Digital filters; Digital signal processing; Hardware; Lattices; Predictive models; Signal analysis; Wireless communication", } @InProceedings{Simon:2004:ISE, author = "S. Simon and M. Muller and H. Gryska and A. Wortmann and S. Buch", booktitle = "{2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No. 04CH37512)}", title = "An instruction set for the efficient implementation of the {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-357", year = "2004", DOI = "https://doi.org/10.1109/ISCAS.2004.1329282", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Application specific processors; Circuits; Design methodology; Hardware design languages; Information technology; Moore's Law; Productivity; Signal processing algorithms; Timing", } @MastersThesis{Subramaniam:2004:SFC, author = "Meera Subramaniam", title = "Studies on Flat {CORDIC} Implementation in Field Programmable Gate Arrays ({FPGA})", type = "{M.C.S.} thesis", school = "Universiti Malaya", address = "Kuala Lumpur, Malaysia", pages = "106", year = "2004", ISBN-13 = "979-83-8046-578-6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/studies-on-flat-cordic-implementation-field/docview/2877961284/se-2", acknowledgement = ack-nhfb, advisor = "Mashkuri Haji Yaacob", keywords = "0389:Design; 0405:Mathematics; 0464:Computer Engineering; 0771:Robotics; 0984:Computer science; C plus plus; Computer engineering; Computer science; Decomposition; Design; Field programmable gate arrays; Mathematical functions; Mathematics; Random access memory; Read only memory--ROM; Robotics; Software", ris-m1 = "30600968", } @InProceedings{Suchitra:2004:HTI, author = "S. Suchitra and S. K. Lam and T. Srikanthan", booktitle = "{2004 International Conference on Image Processing, 2004. ICIP '04.}", title = "High-throughput image rotation using sign-prediction based redundant {CORDIC} algorithm", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2833--2836 (vol. 4)", year = "2004", DOI = "https://doi.org/10.1109/ICIP.2004.1421694", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Biomedical image processing; Computer architecture; Computer vision; Engines; Hardware; Image processing; Pipelines; Process design; Throughput", } @InProceedings{Williams:2004:CBS, author = "L. V. Williams and J. H. Takala", booktitle = "{SympoTIC '04. Joint 1st Workshop on Mobile Future \& Symposium on Trends In Communications (IEEE Cat. No. 04EX877)}", title = "{CORDIC}-based systolic adaptive equalizer architecture for high data rate {CDMA} receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "9--12", year = "2004", DOI = "https://doi.org/10.1109/TIC.2004.1409486", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive equalizers; Arithmetic; Fading; Multiaccess communication; Multipath channels; Quadrature amplitude modulation; Quadrature phase shift keying; RAKE receivers; Throughput; Vectors", } @InProceedings{Zaidi:2004:ATE, author = "T. Zaidi and Q. Chaudry and S. A. Khan", booktitle = "{8th International Multitopic Conference, 2004. Proceedings of INMIC 2004.}", title = "An area and time efficient collapsed modified {CORDIC} {DDFS} architecture for high rate digital receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "677--681", year = "2004", DOI = "https://doi.org/10.1109/INMIC.2004.1492976", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Equations; Field programmable gate arrays; Hardware; Iterative algorithms; Pipeline processing; Polynomials; Read only memory; Table lookup; Tin", } @InProceedings{Zhang:2004:MAWa, author = "Guoping Zhang and F. Chin", booktitle = "{2004 IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (IEEE Cat. No. 04TH8754)}", title = "Multi-antenna {WCDMA} receiver design with {CORDIC}", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2811--2814 (vol. 4)", year = "2004", DOI = "https://doi.org/10.1109/PIMRC.2004.1368833", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; Equalizers; Fading; Finite impulse response filter; Hardware; Multiaccess communication; Multipath channels; RAKE receivers; Receiving antennas; Very large scale integration", } @InProceedings{Zhang:2004:MAWb, author = "Guoping Zhang and F. Chin", booktitle = "{The 2nd Annual IEEE Northeast Workshop on Circuits and Systems, 2004. NEWCAS 2004}", title = "Multi-antenna {WCDMA} receiver design with {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "105--108", year = "2004", DOI = "https://doi.org/10.1109/NEWCAS.2004.1359033", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; Equalizers; Fading; Finite impulse response filter; Hardware; Multiaccess communication; Multipath channels; RAKE receivers; Receiving antennas; Very large scale integration", } @InProceedings{Zhang:2004:PFC, author = "Guoping Zhang and F. Chen", booktitle = "{2004 IEEE 15th International Symposium on Personal, Indoor and Mobile Radio Communications (IEEE Cat. No. 04TH8754)}", title = "Parallel {FFT} with {CORDIC} for ultra wide band", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1173--1177 (vol. 2)", year = "2004", DOI = "https://doi.org/10.1109/PIMRC.2004.1373883", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Costs; Data processing; Energy consumption; Hardware; Pipelines; Signal processing algorithms; Throughput; Ultra wideband technology; Very large scale integration", } @InProceedings{Ali:2005:CNS, author = "Usman Ali and Umair Ali Sheikh", booktitle = "{2005 Pakistan Section Multitopic Conference}", title = "{CORDIC}: Novel sequential and Pipelined Architectures and Performance issues", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2005", DOI = "https://doi.org/10.1109/INMIC.2005.334423", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Design automation; Field programmable gate arrays; Hardware; Information technology; Iterative algorithms; Navigation; Read only memory; Signal processing algorithms; Vectors", } @InProceedings{Angarita:2005:EFI, author = "F. Angarita and A. Perez-Pascual and T. Sansaloni and J. Vails", booktitle = "{International Conference on Field Programmable Logic and Applications, 2005.}", title = "Efficient {FPGA} implementation of {CORDIC} algorithm for circular and linear coordinates", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "535--538", year = "2005", DOI = "https://doi.org/10.1109/FPL.2005.1515779", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Computer architecture; Digital signal processing; Field programmable gate arrays; Frequency estimation; Hardware; Iterative algorithms; OFDM; Signal processing algorithms; Vectors", } @InProceedings{Antelo:2005:LLP, author = "Elisardo Antelo and Julio Villalba", title = "Low Latency Pipelined Circular {CORDIC}", crossref = "Montuschi:2005:PIS", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "280--287", year = "2005", DOI = "https://doi.org/10.1109/ARITH.2005.30", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://arith17.polito.it/final/paper-132.pdf", abstract = "The pipelined CORDIC with linear approximation to rotation has been proposed to achieve reductions in delay, power and area; however, the schemes for rotation (multiplication) and vectoring (division) complicate implementation in a single unit. In this work, we improve the linear approximation scheme, leading to a unified implementation for rotation and vectoring where fully parallel tree multipliers are used instead of the second half of CORDIC iterations. We also combine the linear approximation to rotation with the scale factor compensation so that the compensation is performed concurrently with the rotation process. Comparison with other designs is also provided.", acknowledgement = ack-nhfb, keywords = "Adders; ARITH-17; Arithmetic; Computer architecture; Delay; Digital signal processing; Graphics; Linear approximation; Signal processing algorithms; Speech processing; Vectors", pagecount = "8", } @Article{Chakraborty:2005:TFL, author = "M. Chakraborty and A. S. Dhar and Moon Ho Lee", title = "A trigonometric formulation of the {LMS} algorithm for realization on pipelined {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "52", number = "9", pages = "530--534", year = "2005", DOI = "https://doi.org/10.1109/TCSII.2005.850784", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Adaptive filters; Algorithm design and analysis; Analytical models; Convergence; Filtering algorithms; Finite impulse response filter; Hardware; Least mean square (LMS) algorithm; Least squares approximation; pipelined CORDIC unit; Signal processing algorithms; Transversal filters", } @InProceedings{Chih:2005:CPE, author = "J.-C. Chih and Kun-Lung Chen and Sau-Gee Chen", booktitle = "{2005 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A {CORDIC} processor with efficient table-lookup schemes for rotations and on-line scale factor compensations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3315--3318 (vol. 4)", year = "2005", DOI = "https://doi.org/10.1109/ISCAS.2005.1465337", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Costs; Delay effects; Design engineering; Design optimization; Frequency; Hardware; Pipelines; Process design", } @InProceedings{Detrey:2005:TBP, author = "J{\'e}r{\'e}mie Detrey and Florent de Dinechin", booktitle = "2005 {IEEE} International Conference on Application-Specific Systems, Architecture Processors ({ASAP'05})", title = "Table-based polynomials for fast hardware function evaluation", publisher = pub-IEEE, address = pub-IEEE:adr, year = "2005", DOI = "https://doi.org/10.1109/asap.2005.61", bibdate = "Sat Jan 3 08:52:30 2026", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, } @InProceedings{Farivar:2005:CBP, author = "R. Farivar and M. Fazeli and H. Sarbazi-Azad", booktitle = "{19th IEEE International Parallel and Distributed Processing Symposium}", title = "A {CORDIC}-based processor extension for scalar and vector processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7 (??)", year = "2005", DOI = "https://doi.org/10.1109/IPDPS.2005.11", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Application specific integrated circuits; ASIC; Computer architecture; Coprocessors; CORDIC Algorithm; Discrete Fourier transforms; Educational institutions; Field programmable gate arrays; Fourier transforms; FPGA; Hardware; Pool of Processors; Processor Extension; SIMD Architecture; Throughput; Trigonometric functions; Variable precision; Vector Processing", } @MastersThesis{Fitzharris:2005:SPC, author = "Michael Ryan Fitzharris", title = "Super-pipelined {CORDIC} Unit", type = "{M.S.} thesis", school = "Drexel University", address = "Philadelphia, PA, USA", pages = "105", year = "2005", ISBN-13 = "979-83-8039-923-4", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/super-pipelined-cordic-unit/docview/2874122636/se-2", acknowledgement = ack-nhfb, advisor = "Prawat Nagvajara and Jeremy R. Johnson", keywords = "0364:Applied Mathematics; 0464:Computer Engineering; 0984:Computer science; Applied mathematics; Binary shift operations; Clock cycle; Computer engineering; Computer science; Cosine computations; Loadflow equations", ris-m1 = "30754081", } @InProceedings{Gilbert:2005:ODP, author = "G. Gilbert and D. Al-Khalili and C. Rozon", booktitle = "{The 3rd International IEEE-NEWCAS Conference, 2005.}", title = "Optimized distributed processing of scaling factor in {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "35--38", year = "2005", DOI = "https://doi.org/10.1109/NEWCAS.2005.1496664", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer architecture; Computer graphics; Digital signal processing; Distributed processing; Educational institutions; Equations; Iterative algorithms; Matrices; Military computing", } @InProceedings{Heyne:2005:CBE, author = "B. Heyne and J{\"u}rgen G{\"o}tze", booktitle = "{IEEE Workshop on Signal Processing Systems Design and Implementation, 2005.}", title = "A {CORDIC} based equalizer for multiuser detection in {WCDMA} systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "257--261", year = "2005", DOI = "https://doi.org/10.1109/SIPS.2005.1579875", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AWGN; Channel estimation; Convolution; Convolutional codes; Detectors; Downlink; Equalizers; Matched filters; Multiaccess communication; Multiuser detection", } @Article{Hsiao:2005:EVI, author = "Shen-Fu Hsiao and Yu Hen Hu and T.-B. Juang and Chung-Han Lee", title = "Efficient {VLSI} implementations of fast multiplierless approximated {DCT} using parameterized hardware modules for silicon intellectual property design", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "52", number = "8", pages = "1568--1579", year = "2005", DOI = "https://doi.org/10.1109/TCSI.2005.851709", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "binDCT; Computer architecture; CORDIC; Discrete cosine transform (DCT); Discrete cosine transforms; Discrete Fourier transforms; Embedded computing; Hardware; integer DCT (IDCT); Intellectual property; shifted discrete Fourier transform (SDFT); Silicon; System-on-a-chip; Two dimensional displays; Very large scale integration; very large-scale integration (VLSI) design", } @InProceedings{Jiang:2005:FII, author = "Xiao-Gang Jiang and Jian-Yang Zhou and Jiang-Hong Shi and Hui-Huang Chen", booktitle = "{2005 6th International Conference on ASIC}", title = "{FPGA} implementation of image rotation using modified compensated {CORDIC}", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "752--756", year = "2005", DOI = "https://doi.org/10.1109/ICASIC.2005.1611424", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Computer architecture; Convergence; Costs; Field programmable gate arrays; Hardware design languages; Image processing; Interpolation; Real time systems; Visual system", } @Article{Karabernou:2005:RTF, author = "Si Mahmoud Karabernou and Fay{\c{c}}al Terranti", title = "Real-time {FPGA} implementation of {Hough Transform} using gradient and {CORDIC} algorithm", journal = j-IMAGE-VIS-COMPUT, volume = "23", number = "11", pages = "1009--1017", year = "2005", CODEN = "IVCODK", DOI = "https://doi.org/10.1016/j.imavis.2005.07.004", ISSN = "0262-8856 (print), 1872-8138 (electronic)", ISSN-L = "0262-8856", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0262885605000922", acknowledgement = ack-nhfb, fjournal = "Image and Vision Computing", keywords = "CORDIC; FPGA; Hough; Real-time", } @Article{Kosunen:2005:MQM, author = "M. Kosunen and J. Vankka and M. Waltari and K. A. I. Halonen", title = "A multicarrier {QAM} modulator for {WCDMA} base-station with on-chip {D/A} converter", journal = j-IEEE-TRANS-VLSI-SYST, volume = "13", number = "2", pages = "181--190", year = "2005", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2004.840778", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Amplitude modulation; Canonic signed digit; coordinate rotation digital computer (CORDIC); Digital modulation; Filters; finite impulse response (FIR) filters; Interpolation; interpolation; Modulation coding; Multiaccess communication; Phase modulation; Quadrature amplitude modulation; Streaming media; transmitter; Wideband", } @Article{Lang:2005:HTC, author = "Tom{\'a}s Lang and E. Antelo", title = "High-throughput {CORDIC}-based geometry operations for {3D} computer graphics", journal = j-IEEE-TRANS-COMPUT, volume = "54", number = "3", pages = "347--361", month = mar, year = "2005", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2005.53", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "3D rotations; Computational geometry; Computer graphics; Coprocessors; geometry transforms; graphics processor.; Index Terms- CORDIC; vector normalization", } @Article{Lin:2005:MSR, author = "Chih-Hsiu Lin and An-Yeu Wu", title = "Mixed-scaling-rotation {CORDIC} ({MSR-CORDIC}) algorithm and architecture for high-performance vector rotational {DSP} applications", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "52", number = "11", pages = "2385--2396", year = "2005", DOI = "https://doi.org/10.1109/TCSI.2005.853908", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Application software; Computer architecture; Coordinate rotational digital computer (CORDIC); Digital arithmetic; Digital signal processing; Dynamic range; extend elementary angle set (EEAS)-CORDIC; fast Fourier transform (FFT); Fast Fourier transforms; Hardware; Iterative algorithms; Process design; Signal processing algorithms; twiddle factor", } @Article{Liu:2005:ASI, author = "Zhaohui Liu and K. Dickson and J. V. McCanny", title = "Application-specific instruction set processor for {SoC} implementation of modern signal processing algorithms", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "52", number = "4", pages = "755--765", year = "2005", DOI = "https://doi.org/10.1109/TCSI.2005.844109", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Application specific processors; Application-specific instruction set processor (ASIP); Array signal processing; Computer aided instruction; Computer architecture; Concurrent computing; coordinate rotation digital computer (CORDIC) processors; Digital arithmetic; High performance computing; Matrix decomposition; modern signal processing; QR decomposition (QRD); Real time systems; Signal processing algorithms; singular-value decomposition (SVD); system on chip (SoC)", } @Article{Maharatna:2005:MVS, author = "K. Maharatna and S. Banerjee and E. Grass and M. Krstic and A. Troya", title = "Modified virtually scaling-free adaptive {CORDIC} rotator algorithm and architecture", journal = j-IEEE-TRANS-CIRCUITS-SYST-VIDEO-TECH, volume = "15", number = "11", pages = "1463--1474", year = "2005", CODEN = "ITCTEM", DOI = "https://doi.org/10.1109/TCSVT.2005.856908", ISSN = "1051-8215 (print), 1558-2205 (electronic)", ISSN-L = "1051-8215", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems for Video Technology", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=76", keywords = "Arithmetic; Computer architecture; Convergence; Coordinate rotation digital computer (CORDIC); Digital signal processing; digital signal processing (DSP); Discrete cosine transforms; Discrete Fourier transforms; Fast Fourier transforms; Hardware; scaling-free CORDIC; Signal processing algorithms; Space technology; vector rotation; very large-scale integration (VLSI)", } @InProceedings{Molino:2005:NOC, author = "Andrea Molino and Fabrizio Vacca", booktitle = "{2005 13th European Signal Processing Conference, 04--08 September 2005, Antalya, Turkey}", title = "A novel, optimized {CORDIC} core for phase correlation motion estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2005", ISBN = "1-60423-821-6", ISBN-13 = "978-1-60423-821-1", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7078408/", acknowledgement = ack-nhfb, keywords = "Computer architecture; Correlation; Equations; Estimation; Motion estimation; Registers; Vectors", } @InProceedings{Molino:2005:OCC, author = "A. Molino and F. Vacca and G. Masera", booktitle = "{IEEE International Conference on Image Processing 2005}", title = "Optimized {CORDIC} core for frequency-domain motion estimation", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "III-1072", year = "2005", DOI = "https://doi.org/10.1109/ICIP.2005.1530581", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CMOS technology; Computer architecture; Discrete Fourier transforms; Focusing; Frequency; Motion detection; Motion estimation; Signal processing algorithms; State estimation; Throughput", } @InProceedings{Park:2005:DPR, author = "Sang Yoon Park and Nam Ik Cho", booktitle = "{Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005.}", title = "Design of perfect reconstruction {QMF} lattice with signed powers-of-two coefficients using {CORDIC} algorithm", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "iv/565--iv/568 (vol. 4)", year = "2005", DOI = "https://doi.org/10.1109/ICASSP.2005.1416071", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Design optimization; Digital filters; Filter bank; Finite impulse response filter; Hardware; Lattices; Mirrors; Quantization; Signal processing algorithms", } @Article{Peng:2005:CBA, author = "Chia-Sheng Peng and Yuan-Shin Chuang and Kuei-Ann Wen", title = "{CORDIC}-based architecture with channel state information for {OFDM} baseband receiver", journal = j-IEEE-TRANS-CONSUMER-ELECTRONICS, volume = "51", number = "2", pages = "403--412", year = "2005", CODEN = "ITCEDA", DOI = "https://doi.org/10.1109/TCE.2005.1467979", ISSN = "0098-3063 (print), 1558-4127 (electronic)", ISSN-L = "0098-3063", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Consumer Electronics", keywords = "AWGN; Baseband; Channel state information; Computer architecture; Error analysis; Frequency estimation; Frequency synchronization; OFDM; Sampling methods; Semiconductor device modeling", } @Article{Schulte:2005:GEI, author = "Michael J. Schulte and Jean-Claude Bajard", title = "{Guest Editors}' Introduction: Special Issue on Computer Arithmetic", journal = j-IEEE-TRANS-COMPUT, volume = "54", number = "3", pages = "241--242", month = mar, year = "2005", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2005.50", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Apr 27 18:04:38 MDT 2005", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://csdl.computer.org/comp/trans/tc/2005/03/t0241.pdf; http://csdl.computer.org/dl/trans/tc/2005/03/t0241.htm", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", remark = "From the article: ``This special issue presents recent high-quality research in computer arithmetic. The 12 papers included in this special issue were selected from 36 papers submitted in response to an open call for papers. This call for papers followed the 16th IEEE International Symposium on Computer Arithmetic, which took place in Santiago de Compostella in June 2003. Each paper received at least three reviews and the top papers were selected for inclusion in this special issue. Six papers are expanded versions of the papers presented at the 16th IEEE Symposium on Computer Arithmetic, three are expanded versions of papers presented at other conferences, and three are original contributions.''", } @InProceedings{Shijie:2005:SSG, author = "Chen Shijie and Houjun Wang", booktitle = "{Proceedings. 2005 International Conference on Communications, Circuits and Systems, 2005}", title = "A study of signal generation based on {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1337", year = "2005", DOI = "https://doi.org/10.1109/ICCCAS.2005.1495353", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computational modeling; Digital filters; Digital signal processing; Frequency; Iterative algorithms; Programmable logic arrays; Signal generators; Signal processing algorithms; Signal synthesis", } @InProceedings{Shiraishi:2005:SSA, author = "Shin'ichi Shiraishi and Miki Haseyama and Hideo Kitajima", booktitle = "{TENCON 2005 --- 2005 IEEE Region 10 Conference}", title = "A Steady-State Analysis of a {CORDIC}-based Adaptive {ARMA} Lattice Filter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2005", DOI = "https://doi.org/10.1109/TENCON.2005.301278", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Analytical models; Convergence; Estimation error; Information analysis; Information filtering; Information filters; Information science; Lattices; Steady-state", } @InBook{Sima:2005:CAS, author = "Mihai Sima and John Glossner and Daniel Iancu and Hua Ye and Andrei Iancu and A. Joseph Hoane", booktitle = "Embedded Computer Systems: Architectures, Modeling, and Simulation", title = "{CORDIC}-Augmented {Sandbridge} Processor for Channel Equalization", publisher = pub-SV, address = pub-SV:adr, pages = "152--161", year = "2005", DOI = "https://doi.org/10.1007/11512622_17", ISBN = "3-540-31664-7", ISBN-13 = "978-3-540-31664-0", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Sima:2005:CSK, author = "M. Sima and M. McGuire and D. Iancu and J. Glossner", booktitle = "{PACRIM. 2005 IEEE Pacific Rim Conference on Communications, Computers and signal Processing, 2005.}", title = "{CORDIC} scenario for {Kalman}-based channel estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "165--168", year = "2005", DOI = "https://doi.org/10.1109/PACRIM.2005.1517251", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Channel estimation", } @InProceedings{Suchitra:2005:ESP, author = "S. Suchitra and S. Sukthankar and T. Srikanthan and C. T. Clarke", booktitle = "{2005 IEEE International Symposium on Circuits and Systems}", title = "Elimination of sign precomputation in flat {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3319--3322 (vol. 4)", year = "2005", DOI = "https://doi.org/10.1109/ISCAS.2005.1465338", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Embedded computing; Embedded system; Engines; Equations; Hardware; High performance computing; Iterative algorithms; Logic; Scalability; Writing", } @InBook{Vankka:2005:CA, author = "Jouko Vankka", booktitle = "Digital Synthesizers and Transmitters for Software Radio", title = "{CORDIC} Algorithm", chapter = "6", publisher = pub-SV, address = pub-SV:adr, pages = "81--95", year = "2005", DOI = "https://doi.org/10.1007/1-4020-3195-5_6", ISBN = "1-4020-3194-7", ISBN-13 = "978-1-4020-3194-6", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Anguita:2006:FFS, author = "D. Anguita and S. Pischiutta and S. Ridella and D. Sterpi", title = "Feed-Forward Support Vector Machine Without Multipliers", journal = j-IEEE-TRANS-NEURAL-NETW, volume = "17", number = "5", pages = "1328--1331", year = "2006", CODEN = "ITNNEP", DOI = "https://doi.org/10.1109/TNN.2006.877537", ISSN = "1045-9227 (print), 1941-0093 (electronic)", ISSN-L = "1045-9227", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Neural Networks", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=72", keywords = "Algorithm design and analysis; Coordinate rotation digital computer (CORDIC); Embedded computing; Embedded system; embedded systems; Feedforward systems; Fixed-point arithmetic; fixed-point arithmetic; Hardware; Kernel; Machine learning algorithms; support vector machine (SVM); Support vector machine classification; Support vector machines", } @Article{Arrigo:2006:PAA, author = "J. F. Arrigo and P. M. Chau", title = "Power aware attitude computation during rapid rotational motion", journal = j-IEEE-TRANS-INSTRUM-MEAS, volume = "55", number = "1", pages = "63--69", year = "2006", CODEN = "IEIMAO", DOI = "https://doi.org/10.1109/TIM.2005.861245", ISSN = "0018-9456 (print), 1557-9662 (electronic)", ISSN-L = "0018-9456", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Instrumentation and Measurement", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=19", keywords = "Application specific integrated circuits; Attitude determination; CORDIC; Energy consumption; Field programmable gate arrays; Gyroscopes; gyroscopes; kinematic equation; Kinematics; Microelectromechanical systems; Micromechanical devices; motion capture; power aware computing; Quaternions; quaternions; Sensor systems; Virtual reality; virtual reality", } @InProceedings{Chen:2006:HRA, author = "Chuen-yau Chen and Cheng-yuan Lin", booktitle = "{2006 International Conference on Communications, Circuits and Systems}", title = "High-Resolution Architecture for {CORDIC} Algorithm Realization", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "579--582", year = "2006", DOI = "https://doi.org/10.1109/ICCCAS.2006.284703", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cities and towns; Communication system control; Control systems; Councils; Degradation; Hardware; Partitioning algorithms; Read only memory; Table lookup", } @InProceedings{Cui:2006:CDP, author = "Xiaoxin Cui and Dunshan Yu and Shimin Sheng and Xiaole Cui", booktitle = "{2006 8th International Conference on Solid-State and Integrated Circuit Technology Proceedings}", title = "A {CORDIC} Demodulator Platform for {Digital-IF} Receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2025--2027", year = "2006", DOI = "https://doi.org/10.1109/ICSICT.2006.306582", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; Data mining; Demodulation; Design methodology; Detectors; Field programmable gate arrays; Frequency shift keying; Frequency synchronization; Protection; Testing", } @InProceedings{Cui:2006:DIL, author = "Xiaoxin Cui and Dunshan Yu and Shimin Sheng and Xiaole Cui", booktitle = "{APCCAS 2006 --- 2006 IEEE Asia Pacific Conference on Circuits and Systems}", title = "Design and Implementation of a 2-level {FSK} Digital Modems Using {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1753--1756", year = "2006", DOI = "https://doi.org/10.1109/APCCAS.2006.342157", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "2FSK; Algorithm design and analysis; Bit error rate; CORDIC; CPFSK; Data mining; Detectors; digital modems; Field programmable gate arrays; Frequency shift keying; Frequency synchronization; Modems; Protection; Signal to noise ratio", } @InProceedings{Feng:2006:RAE, author = "Luo Feng and He Kun and Wu Shunjun", booktitle = "{2006 CIE International Conference on Radar}", title = "Research of Acquiring Eigenvector of Real Symmetric Matrix", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2006", DOI = "https://doi.org/10.1109/ICR.2006.343201", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clutter; CORDIC; Delay effects; Documentation; Eigenvalue; Eigenvalues and eigenfunctions; Eigenvector; Jacobi; Jacobian matrices; Matrix decomposition; Radar signal processing; Signal processing algorithms; Symmetric matrices; Systolic Array; Systolic arrays", } @InBook{Fons:2006:TCE, author = "Francisco Fons and Mariano Fons and Enrique Cant{\'o} and Mariano L{\'o}pez", booktitle = "Reconfigurable Computing: Architectures and Applications", title = "Trigonometric Computing Embedded in a Dynamically Reconfigurable {CORDIC} System-on-Chip", publisher = pub-SV, address = pub-SV:adr, pages = "122--127", year = "2006", DOI = "https://doi.org/10.1007/11802839_17", ISBN = "3-540-36863-9", ISBN-13 = "978-3-540-36863-2", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Fu:2006:TSA, author = "Dengwei Fu and A. N. Willson", title = "A two-stage angle-rotation architecture and its error analysis for efficient digital mixer implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "53", number = "3", pages = "604--614", year = "2006", DOI = "https://doi.org/10.1109/TCSI.2005.859056", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Angle rotation; Arithmetic; Computer architecture; CORDIC; Delay; digital mixer; direct digital synthesizer (DDS); Error analysis; Frequency; Hardware; low-latency; Read only memory; synchronization; Synthesizers; Table lookup; trigonometric function generation", } @InProceedings{Garcia:2006:PCD, author = "Esteban O. Garcia and Rene Cumplido and Miguel Arias", booktitle = "{2006 3rd International Conference on Electrical and Electronics Engineering}", title = "Pipelined {CORDIC} Design on {FPGA} for a Digital Sine and Cosine Waves Generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2006", DOI = "https://doi.org/10.1109/ICEEE.2006.251917", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer architecture; CORDIC; Demodulation; Digital modulation; Field programmable gate arrays; FPGA; Hardware; Iterative algorithms; SDR; Signal processing algorithms; Software radio; Vectors", } @MastersThesis{Gilbert:2006:PHP, author = "Guillaume Gilbert", title = "Parameterized high performance {CORDIC} processor architectures for {FPGAs}", type = "{M.A.Sc.} thesis", school = "Royal Military College of Canada", address = "Kingston, ON, Canada", pages = "100", year = "2006", ISBN = "0-494-36473-4", ISBN-13 = "978-0-494-36473-4", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/parameterized-high-performance-cordic-processor/docview/304922484/se-2", acknowledgement = ack-nhfb, keywords = "0544:Electrical engineering; 0984:Computer science; Applied sciences; Computer science; Electrical engineering", ris-m1 = "MR36473", } @Article{Granado:2006:DEC, author = "J. Granado and A. Torralba and J. Chavez and V. Baena-Lecuyer", title = "Design of an efficient {CORDIC}-based architecture for synchronization in {OFDM}", journal = j-IEEE-TRANS-CONSUMER-ELECTRONICS, volume = "52", number = "3", pages = "774--782", year = "2006", CODEN = "ITCEDA", DOI = "https://doi.org/10.1109/TCE.2006.1706469", ISSN = "0098-3063 (print), 1558-4127 (electronic)", ISSN-L = "0098-3063", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Consumer Electronics", keywords = "Computer architecture; Demodulation; Frequency estimation; Frequency synchronization; Hardware; Intersymbol interference; OFDM modulation; Signal to noise ratio; Time domain analysis; Transmitters", } @InProceedings{Hahanov:2006:CTC, author = "Vladimir Hahanov and Olga Melnikova and Dmitriy Melnik and Philat Levchenko", booktitle = "{2006 International Conference --- Modern Problems of Radio Engineering, Telecommunications, and Computer Science}", title = "{CAD} Tools for {CORDIC} {IP} Cores Generation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "375--378", year = "2006", DOI = "https://doi.org/10.1109/TCSET.2006.4404556", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CAD; Circuit testing; CORDIC; Design automation; Design engineering; Digital systems; Equations; Graphical user interfaces; IP Core; Iterative algorithms; Manufacturing industries; Silicon; Test Bench; VHDL", } @InProceedings{Heyne:2006:CEH, author = "B. Heyne and C. C. Sun and J. Goetze and S. J. Ruan", booktitle = "{2006 14th European Signal Processing Conference, 04--08 September 2006, Florence, Italy }", title = "A computationally efficient high-quality {CORDIC} based {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2006", ISSN = "2219-5491", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7071034/", acknowledgement = ack-nhfb, keywords = "Abstracts; Algorithm design and analysis; Codecs; Computational efficiency; RNA", } @InProceedings{Jianwen:2006:MIR, author = "Luo Jianwen and Jong Ching Chuen", booktitle = "{APCCAS 2006 --- 2006 IEEE Asia Pacific Conference on Circuits and Systems}", title = "Matrix Inversion on Reconfigurable Hardware using Binary-coded z-path {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1176--1179", year = "2006", DOI = "https://doi.org/10.1109/APCCAS.2006.342351", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Application specific integrated circuits; CORDIC; Delay; Digital signal processing; Digital signal processors; Fabrication; FPGA; Givens rotation; Hardware; matrix inversion; Production; Signal processing algorithms; Throughput", } @Article{Jolly:2006:MSA, author = "E. K. Jolly and M. Fleury", title = "Multi-sector algorithm for hardware acceleration of the general {Hough} transform", journal = j-IMAGE-VIS-COMPUT, volume = "24", number = "9", pages = "970--976", year = "2006", CODEN = "IVCODK", DOI = "https://doi.org/10.1016/j.imavis.2006.02.016", ISSN = "0262-8856 (print), 1872-8138 (electronic)", ISSN-L = "0262-8856", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0262885606000989", acknowledgement = ack-nhfb, fjournal = "Image and Vision Computing", keywords = "CORDIC; FPGA; Hough transform", } @InProceedings{Juang:2006:ADE, author = "Tso-Bing Juang", booktitle = "{APCCAS 2006 --- 2006 IEEE Asia Pacific Conference on Circuits and Systems}", title = "Area\slash Delay Efficient Recoding Methods for Parallel {CORDIC} Rotations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1539--1542", year = "2006", DOI = "https://doi.org/10.1109/APCCAS.2006.342536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Business; Concurrent computing; CORDIC; Delay; Helium; Information technology; Iterative algorithms; Matrix decomposition; recoding; Signal processing algorithms; Vectors; Very large scale integration; VLSI architecture", } @Article{Kang:2006:DPD, author = "Chang Yong Kang and E. E. Swartzlander", title = "Digit-pipelined direct digital frequency synthesis based on differential {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "53", number = "5", pages = "1035--1044", year = "2006", DOI = "https://doi.org/10.1109/TCSI.2005.862183", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computer architecture; differential CORDIC (DCORDIC); Digit-level pipelining; Digital arithmetic; direct digital frequency synthesis (DDFS); Frequency synthesizers; Hardware design languages; Iterative algorithms; on-line arithmetic; Oscillators; Pipeline processing; Read only memory; systolic array; Systolic arrays; Tuning", } @Article{Khan:2006:AIM, author = "Zahid Khan and Tughrul Arslan and John S. Thompson and Ahmet T. Erdogan", title = "Analysis and Implementation of Multiple Input, Multiple Output {VBLAST} Receiver From Area and Power Efficiency Perspective", journal = j-IEEE-TRANS-VLSI-SYST, volume = "14", number = "11", pages = "1281--1286", year = "2006", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2006.886403", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Bit error rate; Computational complexity; Computer architecture; CORDIC; Hardware; Jacobi rotation; Mean square error methods; MIMO; minimum mean square error (MMSE); multiple-input multiple-output (MIMO) wireless system; Power system modeling; pseudoinverse; Signal processing algorithms; square root algorithm; Transmitting antennas; vertical Bell Laboratories layered space time (VBLAST); Very large scale integration; VLSI", } @MastersThesis{McLenegan:2006:CAA, author = "Tim McLenegan", title = "The {CORDIC} Algorithm: an Area-Efficient Technique for {FPGA}-Based Artificial Neural Networks: a Thesis", type = "{M.S.} thesis", school = "California Polytechnic State University", address = "San Luis Obispo, CA, USA", pages = "96", year = "2006", ISBN-13 = "979-84-92720-96-4", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-algorithm-area-efficient-technique-fpga/docview/2581820886/se-2", acknowledgement = ack-nhfb, advisor = "Lynn Slivovsky", keywords = "0544:Electrical engineering; Artificial neural networks; Electrical engineering; Field programmable gate array; Simulations", ris-m1 = "28859325", } @InCollection{Muller:2006:CA, author = "Jean-Michel Muller", title = "The {CORDIC} algorithm", crossref = "Muller:2006:EFA", pages = "133--156", year = "2006", DOI = "https://doi.org/10.1007/0-8176-4408-3_7", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Nagayama:2006:PNF, author = "S. Nagayama and T. Sasao", editor = "????", booktitle = "Proceedings of Asia South Pacific Design Automation Conference. Japan", title = "Programmable Numerical Function Generators Based on Quadratic Approximation", publisher = "????", address = "????", pages = "378--383", year = "2006", DOI = "", ISBN = "", ISBN-13 = "", LCCN = "", bibdate = "Wed Nov 12 06:10:16 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @Article{Park:2006:DSP, author = "Sang Yoon Park and Nam Ik Cho", title = "Design of signed powers-of-two coefficient perfect reconstruction {QMF} Bank using {CORDIC} algorithms", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "53", number = "6", pages = "1254--1265", year = "2006", DOI = "https://doi.org/10.1109/TCSI.2006.870478", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Algorithm design and analysis; Computer architecture; COordinate Rotation DIgital Computer (CORDIC); Delay lines; Digital filters; Hardware; lattice filter; Lattices; Mirrors; perfect reconstruction (PR); quadrature mirror filter (QMF); Quantization; Signal design; Signal processing algorithms; signed powers-of-two (SPT)", } @InProceedings{Qian:2006:ACA, author = "Meng Qian", booktitle = "{The Proceedings of the Multiconference on ``Computational Engineering in Systems Applications''}", title = "Application of {CORDIC} Algorithm to Neural Networks {VLSI} Design", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "504--508", year = "2006", DOI = "https://doi.org/10.1109/CESA.2006.4281704", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Computational modeling; Computer networks; CORDIC; Field programmable gate arrays; FPGA; Network synthesis; Neural networks; Neurons; Simulation; Synthesis; Systems engineering and theory; Very large scale integration; VHDL; VLSI", } @InProceedings{Rodrigues:2006:ACU, author = "Terence K. Rodrigues and Earl E. Swartzlander", booktitle = "{2006 Fortieth Asilomar Conference on Signals, Systems and Computers}", title = "Adaptive {CORDIC}: Using Parallel Angle Recoding to Accelerate {CORDIC} Rotations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "323--327", year = "2006", DOI = "https://doi.org/10.1109/ACSSC.2006.354760", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; Delay; Equations; Filters; Hardware; Iterative algorithms; Lattices; Signal processing algorithms; Vectors", } @InProceedings{Sun:2006:LPH, author = "Chi-chia Sun and Benjamin Heyne and Shanq-jang Ruan and Juergen Goetze", booktitle = "{2006 International Symposium on VLSI Design, Automation and Test}", title = "A Low-Power and High-Quality {CORDIC} Based {Loeffler} {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2006", DOI = "https://doi.org/10.1109/VDAT.2006.258132", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Codecs; Computational complexity; Computer architecture; Discrete cosine transforms; Flow graphs; Hardware; Information processing; Iterative algorithms; Signal processing algorithms", } @InProceedings{Sung:2006:HEL, author = "Tze-yun Sung and Yaw-shih Shieh and Chun-wang Yu and Hsi-chin Hsin", booktitle = "{2006 Seventh International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT'06)}", title = "High-Efficiency and Low-Power Architectures for {2-D} {DCT} and {IDCT} Based on {CORDIC} Rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "191--196", year = "2006", DOI = "https://doi.org/10.1109/PDCAT.2006.70", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; CORDIC; DCT; Discrete cosine transforms; Energy consumption; Gold; Hardware; IDCT; Image processing; Kernel; low-power; Multiplexing; Random access memory; Read only memory", } @InProceedings{Sung:2006:HEV, author = "Tze-yun Sung and Yaw-shih Shieh and Chun-wang Yu and Hsi-chin Hsin", booktitle = "{2006 Seventh International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT'06)}", title = "A High-Efficiency Vector Interpolator Using Redundant {CORDIC} Arithmetic in Power-Aware 3-D Graphics Rendering", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "44--49", year = "2006", DOI = "https://doi.org/10.1109/PDCAT.2006.7", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "3-D vector interpolation; Algorithm design and analysis; Arithmetic; CORDIC algorithm; Delay; Graphics; Hardware; high-throughput.; Interpolation; Pipeline processing; Redundant CORDIC arithmetic; Rendering (computer graphics); Throughput; Very large scale integration", } @Article{Valls:2006:UCS, author = "J. Valls and T. Sansaloni and A. Perez-Pascual and V. Torres and V. Almenar", title = "The use of {CORDIC} in software defined radios: a tutorial", journal = j-IEEE-COMM-MAG, volume = "44", number = "9", pages = "46--50", year = "2006", CODEN = "ICOMD9", DOI = "https://doi.org/10.1109/MCOM.2006.1705978", ISSN = "0163-6804 (print), 1558-1896 (electronic)", ISSN-L = "0163-6804", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Communications Magazine", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=35", keywords = "Amplitude shift keying; Application software; Digital modulation; Digital signal processing; Phase modulation; Signal processing algorithms; Software radio; Synthesizers; Tutorial; Very large scale integration", } @InProceedings{Wang:2006:HPF, author = "Sicong Wang and Zhiping Wen and Lixin Yu", booktitle = "{2006 1st International Symposium on Systems and Control in Aerospace and Astronautics}", title = "High-performance fault-tolerant {CORDIC} processor for space applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4 pp.-363", year = "2006", DOI = "https://doi.org/10.1109/ISSCAA.2006.1627644", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Aerospace electronics; Delay; Digital arithmetic; Fault detection; Fault tolerance; Microelectronics; Satellites; Signal processing; Signal processing algorithms; Space technology", } @Article{Wang:2006:RAM, author = "Hongzhi Wang and Pierre Leray and Jacques Palicot", title = "Reconfigurable architecture for {MIMO} systems based on {CORDIC} operators", journal = j-C-R-PHYS, volume = "7", number = "7", pages = "735--750", year = "2006", CODEN = "CRPOBN", DOI = "https://doi.org/10.1016/j.crhy.2006.07.018", ISSN = "1631-0705 (print), 1878-1535 (electronic)", ISSN-L = "1631-0705", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Towards reconfigurable and cognitive communications", URL = "https://www.sciencedirect.com/science/article/pii/S1631070506001642", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus Physique", keywords = "Architecture configurable; Configurable architecture; CORDIC; MIMO; V-BLAST Square Root", } @InProceedings{Wei:2006:NMR, author = "Chen Wei and Yao Tianren and Wang Hui", booktitle = "{2006 International Conference on Communications, Circuits and Systems}", title = "A New Method for Reduction of {PAPR} Using {CORDIC} Algorithm in {WiMAX} System", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1193--1196", year = "2006", DOI = "https://doi.org/10.1109/ICCCAS.2006.284860", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; Filtering; Hardware; Interchannel interference; Microwave technology; OFDM; Partial transmit sequences; Peak to average power ratio; Transmitters; WiMAX", } @InProceedings{Wei:2006:RPV, author = "R. Wei and M. H. Jin and J. J. Xia and Z. W. Xie and H. Liu", booktitle = "{2006 IEEE International Conference on Robotics and Biomimetics}", title = "Reconfigurable Parallel {VLSI} Co-Processor for Space Robot Using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "374--379", year = "2006", DOI = "https://doi.org/10.1109/ROBIO.2006.340205", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational efficiency; Coprocessors; CORDIC; Digital arithmetic; Field programmable gate arrays; FPGA; Hardware; Kinematics; Orbital robotics; Parallel robots; Pipeline processing; Space Robot; Very large scale integration", } @InProceedings{Yu:2006:ECD, author = "Cheng-Ying Yu and Sau-Gee Chen and Jen-Chuan Chih", booktitle = "{2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings}", title = "Efficient {CORDIC} Designs for Multi-Mode {OFDM} {FFT}", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "III--III", year = "2006", DOI = "https://doi.org/10.1109/ICASSP.2006.1660834", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CMOS technology; Computer applications; Design optimization; Digital video broadcasting; Energy consumption; Hardware; OFDM; Power engineering and energy; Power engineering computing; Table lookup", } @InProceedings{Yu:2006:LMC, author = "Tzu-Hao Yu and Chi-Li Yu and Kai-Yuan Jheng and An-Yeu Wu", booktitle = "{2006 IEEE Workshop on Signal Processing Systems Design and Implementation}", title = "On-Line {MSR-CORDIC} {VLSI} Architecture with Applications to Cost-Efficient Rotation-Based Adaptive Filtering Systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "422--427", year = "2006", DOI = "https://doi.org/10.1109/SIPS.2006.352620", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Computer architecture; Costs; Delay; Digital signal processing; Filtering; Hardware; Iterative algorithms; Maintenance engineering; Very large scale integration", } @Article{Zhai:2006:CII, author = "S. M. Zhai", title = "The {CORDIC} Iterative Initial Value Selection Strategy and Its Hardware Implementation", journal = "journal6 (??)", volume = "43", number = "??", pages = "79--80", month = "????", year = "2006", DOI = "", bibdate = "Tue Nov 11 20:14:14 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Zhang:2006:LPC, author = "Ruiqi Zhang and Jong Hun Han and A. T. Erdogan and T. Arslan", booktitle = "{2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings}", title = "Low Power {CORDIC} {IP} Core Implementation", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "III--III", year = "2006", DOI = "https://doi.org/10.1109/ICASSP.2006.1660814", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Digital arithmetic; Digital signal processing; Signal processing algorithms", } @InProceedings{Abche:2007:FIH, author = "Antoine B. Abche and Aldo Maalouf and Rafic Ayoubi and Elie Karam and A. M. Alameddine", booktitle = "{2007 IEEE International Conference on Signal Processing and Communications}", title = "An {FPGA} Implementation of a High Resolution Phase Shift Beamformer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1319--1322", year = "2007", DOI = "https://doi.org/10.1109/ICSPC.2007.4728570", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustic scattering; Array signal processing; Beamforming; Biomedical imaging; Cordic; Energy resolution; Field programmable gate arrays; Focusing; FPGA; Phased arrays; Signal processing algorithms; Ultrasonic imaging; Ultrasound Imaging; Xilinx; Zinc", } @Article{Alexander:2007:IAA, author = "S. W. Alexander and E. Pfann and R. W. Stewart", title = "An improved algorithm for assessing the overall quantisation error in {FPGA} based {CORDIC} systems computing a vector magnitude", journal = j-MICROPROC-MICROSYS, volume = "31", number = "2", pages = "87--93", year = "2007", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2006.02.017", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Special Issue on FPGA-based Reconfigurable Computing (2)", URL = "https://www.sciencedirect.com/science/article/pii/S0141933106000408", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "Arithmetic; CORDIC; FPGA; Vector magnitude", } @Article{Angarita:2007:EMC, author = "F. Angarita and M. J. Canet and T. Sansaloni and A. Perez-Pascual and J. Valls", title = "Efficient Mapping of {CORDIC} Algorithm for {OFDM}-Based {WLAN}", journal = "Journal of Signal Processing Systems", volume = "52", number = "2", pages = "181--191", month = nov, year = "2007", DOI = "https://doi.org/10.1007/s11265-007-0146-6", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @InProceedings{Barrandon:2007:AHR, author = "L. Barrandon and J. McCormack and T. S. Cooper and R. Farrell", booktitle = "{The Second European Conference on Antennas and Propagation, EuCAP 2007}", title = "On the Accuracy and Hardware Requirements of {CORDIC}-Based Phased Array Calibration", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2007", DOI = "https://doi.org/10.1049/ic.2007.1598", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "calibration; CORDIC; measurement accuracy; phased array", } @InProceedings{Bravo:2007:ESI, author = "Ignacio Bravo and Pedro Jimenez and Manuel Mazo and Jose Luis Lazaro and Alfredo Gardel and Marta Marron", booktitle = "{2007 IEEE International Symposium on Intelligent Signal Processing}", title = "Evaluation and selection of internal parameters of a {CORDIC-unit} for a specific application based on {FPGAS}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2007", DOI = "https://doi.org/10.1109/WISP.2007.4447518", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; CORDIC; Digital signal processing; Eigenvalues and eigenfunctions; ERROR; Field programmable gate arrays; Flexible printed circuits; FPGAs; Hardware; Intellectual property; Manufacturing; Proposals; Vectors", } @Article{DeCaro:2007:MDD, author = "Davide {De Caro} and Nicola Petra and Antonio Giuseppe Maria Strollo", title = "A {380 MHz} Direct Digital Synthesizer\slash Mixer With Hybrid {CORDIC} Architecture in 0.25 $ \mu $ m {CMOS}", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "42", number = "1", pages = "151--160", year = "2007", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/JSSC.2006.886527", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Solid-State Circuits", keywords = "Angle rotator; Arithmetic; carry save arithmetic; CMOS digital integrated circuits; CMOS integrated circuits; CMOS technology; Computer architecture; Concurrent computing; CORDIC algorithm; Delay; digital downconverter; digital mixer; digital synthesizer; digital tuner; digital upconverter; direct digital frequency synthesizer; Integrated circuit synthesis; mixer; modulator; overflow prevention; Paper technology; quadrature modulator; rounding; Synthesizers", } @InProceedings{Detrey:2007:FPT, author = "J{\'e}r{\'e}mie Detrey and Florent de Dinechin", booktitle = "2007 International Conference on Field Programmable Logic and Applications", title = "Floating-Point Trigonometric Functions for {FPGAs}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "29--34", month = aug, year = "2007", DOI = "https://doi.org/10.1109/fpl.2007.4380621", bibdate = "Sat Jan 3 08:30:19 2026", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, } @InProceedings{El-Nahas:2007:DIC, author = "Sharaf El-Din El-Nahas and Ammar Mottie {Al Hosainy} and Magdy M. Saeb", booktitle = "{2007 National Radio Science Conference}", title = "Design and Implementation of Cosine Transforms Employing a {CORDIC} Processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2007", DOI = "https://doi.org/10.1109/NRSC.2007.371367", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Design engineering; Difference equations; Digital signal processing; Discrete cosine transforms; Field programmable gate arrays; Iterative algorithms; Table lookup", } @InProceedings{Garrido:2007:EMC, author = "M. Garrido and J. Grajal", booktitle = "{2007 IEEE International Conference on Acoustics, Speech and Signal Processing --- ICASSP '07}", title = "Efficient Memoryless {CORDIC} for {FFT} Computation", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-113--II-116", year = "2007", DOI = "https://doi.org/10.1109/ICASSP.2007.366185", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Counting circuits; Delay; Discrete Fourier transforms; Flexible printed circuits; Memoryless systems; Pipeline processing; Real time systems; Signal processing; Signal processing algorithms; Throughput; Very large scale integration; Very-large-scale integration", } @InProceedings{Gomes:2007:CBQ, author = "Jo{\~a}o Gomes and Victor Barroso", booktitle = "{2007 15th European Signal Processing Conference, 03--07 September 2007, Poznan, Poland}", title = "A {CORDIC}-Based {QR-RLS} multichannel lattice filter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1043--1047", year = "2007", ISBN = "83-921340-4-4", ISBN-13 = "978-83-921340-4-6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7098963/", acknowledgement = ack-nhfb, keywords = "Arrays; Europe; Hardware; Kalman filters; Lattices; Signal processing algorithms", } @Article{Granado:2007:OCC, author = "J. Granado and A. Torralba and J. Ch{\'a}vez and V. Baena-Lecuyer", title = "Optimization of {CORDIC} cells in the backward circular rotation mode", journal = "AEU - International Journal of Electronics and Communications", volume = "61", number = "5", pages = "337--340", year = "2007", DOI = "https://doi.org/10.1016/j.aeue.2006.05.007", ISSN = "1434-8411", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1434841106000732", acknowledgement = ack-nhfb, keywords = "Circuit design; CORDIC algorithm; Digital signal processing", } @InProceedings{Heyne:2007:ECB, author = "Benjamin Heyne and Jurgen Gotze", booktitle = "{2007 IEEE International Symposium on Signal Processing and Information Technology}", title = "Efficient {CORDIC} Based Equalizer For {STTD} Encoded {MIMO} {CDMA} Systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "437--442", year = "2007", DOI = "https://doi.org/10.1109/ISSPIT.2007.4458105", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antennas and propagation; AWGN; Downlink; Equalizers; Least squares methods; MIMO; Multiaccess communication; Multiuser detection; Signal processing; Vectors", } @InProceedings{Jablonski:2007:LLI, author = "G. Jablonski and K. Przygoda", booktitle = "{2007 14th International Conference on Mixed Design of Integrated Circuits and Systems}", title = "Low-Latency Implementation of Coordinate Conversion in Virtex {II} pro {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "120--123", year = "2007", DOI = "https://doi.org/10.1109/MIXDES.2007.4286132", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arcus tangent; Computer arithmetic; Computer science; CORDIC; Cosine; Field programmable gate arrays; FPGA; Microelectronics; Sine; Square root", } @InProceedings{Kandeepan:2007:CEB, author = "Sithamparanathan Kandeepan and Omar Hashmi and Qian Zheng", booktitle = "{2007 6th International Conference on Information, Communications \& Signal Processing}", title = "A complex-envelope based digital phase locked loop with an arctan phase detector implemented on {FPGA} and performance analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2007", DOI = "https://doi.org/10.1109/ICICS.2007.4449626", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "arctan; CORDIC; D-PLL; Detectors; Field programmable gate arrays; FPGA; Performance analysis; Phase detection; Phase Detector; Phase locked loops; Phased arrays; Sensor arrays; Signal detection; Software radio; System testing", } @Article{Karabernou:2007:ERT, author = "Si Mahmoud Karabernou and Lounis Kessal and Fay{\c{c}}al Terranti", title = "Erratum to {``Real-time FPGA implementation of Hough Transform using gradient and CORDIC algorithm'' [Image and Vision Computing 23 (2005) 1009--1017]}", journal = j-IMAGE-VIS-COMPUT, volume = "25", number = "6", pages = "1032", year = "2007", CODEN = "IVCODK", DOI = "https://doi.org/10.1016/j.imavis.2006.06.006", ISSN = "0262-8856 (print), 1872-8138 (electronic)", ISSN-L = "0262-8856", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0262885606001831", acknowledgement = ack-nhfb, fjournal = "Image and Vision Computing", } @InProceedings{Kim:2007:LPC, author = "Young Bok Kim and Yong-Bin Kim and James T. Doyle", booktitle = "{2007 50th Midwest Symposium on Circuits and Systems}", title = "A low power {CMOS} {CORDIC} processor design for wireless telecommunication", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1336--1339", year = "2007", DOI = "https://doi.org/10.1109/MWSCAS.2007.4488797", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CMOS process; CMOS technology; Complexity theory; Energy consumption; Integrated circuit technology; Power supplies; Process design; Telecommunication computing; Wire", } @InProceedings{Liu:2007:ADL, author = "Guihua Liu and Quanyuan Feng", booktitle = "{2007 7th International Conference on ASIC}", title = "{ASIC} design of low-power reconfigurable {FFT} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "44--47", year = "2007", DOI = "https://doi.org/10.1109/ICASIC.2007.4415563", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; ASIC; Computer architecture; CORDIC algorithm; Delay; Energy consumption; FFT (Fast Fourier Transform) processor; Hardware; Libraries; Optimization methods; Pipeline; Pipelines; Signal design; Signal processing", } @InProceedings{Liu:2007:PFI, author = "Jie Liu and Zhi Quan and Yuriy Zakharov", booktitle = "{2007 15th International Conference on Digital Signal Processing}", title = "Parallel {FPGA} Implementation of {DCD} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "331--334", year = "2007", DOI = "https://doi.org/10.1109/ICDSP.2007.4288586", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Antenna arrays; Array signal processing; CORDIC; DCD; Equations; Field programmable gate arrays; FPGA; Hardware; Iterative algorithms; multiplication-free; MVDR; normal equations; parallel design; Read-write memory; Signal processing algorithms; Throughput", } @InProceedings{Perwaiz:2007:BSC, author = "Aqib Perwaiz and Shoab A. Khan", booktitle = "{2007 Australasian Telecommunication Networks and Applications Conference}", title = "Bit serial {CORDIC} {DDFS} design for serial digital down converter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "298--302", year = "2007", DOI = "https://doi.org/10.1109/ATNAC.2007.4665273", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Computer architecture; Computer networks; coordinate rotation digital computer (CORDIC); Design engineering; digital down converter (DDC); digital receiver; Direct digital frequency synthesizer (DDFS); direct digital frequency synthesizer multirate signal processing; Finite impulse response filter; Polynomials; polyphase decimation; Signal processing algorithms; Silicon compounds; Telecommunication computing", } @PhdThesis{Rodrigues:2007:ACU, author = "Terence Keith Rodrigues", title = "Adaptive {CORDIC}: Using parallel angle recoding to accelerate {CORDIC} rotations", type = "{Ph.D.} thesis", school = "The University of Texas at Austin", address = "Austin, TX, USA", pages = "150", year = "2007", ISBN = "0-549-38906-7", ISBN-13 = "978-0-549-38906-4", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/adaptive-cordic-using-parallel-angle-recoding/docview/304793675/se-2", acknowledgement = ack-nhfb, advisor = "Swartzlander, Earl E., Jr.", keywords = "0544:Electrical engineering; Applied sciences; Electrical engineering; Parallel angle recoding; {CORDIC} rotations", ris-m1 = "3291736", } @InProceedings{Sanchez:2007:CBA, author = "Jose L. Sanchez and Antonio Jimeno and Higinio Mora and Jeronimo Mora and Francisco Pujol", booktitle = "{2007 IEEE International Symposium on Industrial Electronics}", title = "A {CORDIC}-based Architecture for High Performance Decimal Calculations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1951--1956", year = "2007", DOI = "https://doi.org/10.1109/ISIE.2007.4374906", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer aided manufacturing; Computer architecture; Digital arithmetic; Field programmable gate arrays; Hardware; High performance computing; Humans; Iterative algorithms; Vectors", } @Article{Sansaloni:2007:FSA, author = "Trini Sansaloni and Asun Perez-Pascual and Vicente Torres and Vicen{\c{C}} Almenar and Jos{\'E} F. Toledo and Javier Valls", title = "{FFT} Spectrum Analyzer Project for Teaching Digital Signal Processing With {FPGA} Devices", journal = j-IEEE-TRANS-EDUC, volume = "50", number = "3", pages = "229--235", year = "2007", CODEN = "IEEDAB", DOI = "https://doi.org/10.1109/TE.2007.900025", ISSN = "0018-9359 (print), 1557-9638 (electronic)", ISSN-L = "0018-9359", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Education", keywords = "Algorithm design and analysis; Arithmetic; coordinate rotation digital computer (CORDIC); decimate filters; digital circuits; Digital filters; Digital signal processing; digital signal processing (DSP ); direct digital synthesis (DDS); fast Fourier transform (FFT); Field programmable gate arrays; field-programmable gate arrays (FPGA) implementation; Finite impulse response filter; IIR filters; logic design; mixer; real-time applications; signal processing; spectrum analyzer; windowing", } @InProceedings{Sathyanarayana:2007:UCB, author = "Suchitra Sathyanarayana and Ravi Kumar Satzoda and Srikanthan Thambipillai", booktitle = "{2007 15th International Conference on Digital Signal Processing}", title = "Unified {CORDIC} Based Processor for Image Processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "343--346", year = "2007", DOI = "https://doi.org/10.1109/ICDSP.2007.4288589", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Discrete cosine transforms; Embedded system; Engines; Equations; Frequency; Image enhancement; Image processing; Pixel; Signal processing algorithms", } @InProceedings{Seetharaman:2007:SIW, author = "G. Seetharaman and B. Venkataramani", booktitle = "{2007 International Conference on Field-Programmable Technology}", title = "{SOC} implementation of wave-pipelined circuits", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "9--16", year = "2007", DOI = "https://doi.org/10.1109/FPT.2007.4439226", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Automation; Clocks; Combinational circuits; CORDIC; DAA; Digital circuits; Field programmable gate arrays; Filters; FPGA; Frequency; Latches; pipelining; Power dissipation; Proposals; SOC; wave-pipelining", } @InProceedings{Seki:2007:CBR, author = "Katsutoshi Seki and Tomoyoshi Kobori and James Okello and Masao Ikekawa", booktitle = "{2007 IEEE Workshop on Signal Processing Systems}", title = "A {CORDIC}-Based Reconfigurable Systolic Array Processor for {MIMO-OFDM} Wireless Communications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "639--644", year = "2007", DOI = "https://doi.org/10.1109/SIPS.2007.4387624", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Baseband; Computer architecture; Hardware; Interleaved codes; Iterative algorithms; MIMO; Phased arrays; Systolic arrays; Wireless communication", } @InProceedings{Sima:2007:ERS, author = "Mihai Sima and Michael McGuire", booktitle = "{2007 IEEE Workshop on Signal Processing Systems}", title = "Embedded Reconfigurable Solution for {OFDM} Detection Over Fast Fading Radio Channels", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "13--18", year = "2007", DOI = "https://doi.org/10.1109/SIPS.2007.4387509", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational efficiency; CORDIC; Demodulation; Fading; fast fading; Fixed-point arithmetic; Hardware; Matrix decomposition; OFDM; Pipelines; QR decomposition; Registers; Software radio; Software-defined radio", } @InProceedings{Sinha:2007:FPC, author = "Pavel Sinha and M. N. S. Swamy and P. K. Meher", booktitle = "{2007 50th Midwest Symposium on Circuits and Systems}", title = "Fully-pipelined {CORDIC} implementation of subspace-based speech enhancement", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "97--100", year = "2007", DOI = "https://doi.org/10.1109/MWSCAS.2007.4488546", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Covariance matrix; Distortion measurement; Field programmable gate arrays; Jacobian matrices; Matrix decomposition; Noise level; Signal to noise ratio; Speech enhancement; Symmetric matrices", } @InProceedings{Stapenhurst:2007:HRZ, author = "R. Stapenhurst and K. Maharatna and J. Mathew and J. L. Nunez-Yanez and D. K. Pradhan", booktitle = "{2007 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "On the Hardware Reduction of z-Datapath of Vectoring {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3002--3005", year = "2007", DOI = "https://doi.org/10.1109/ISCAS.2007.377978", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; CMOS process; Computer architecture; Digital signal processing; Energy consumption; Hardware; Iterative algorithms; Libraries; Power generation economics; Registers", } @InProceedings{Wei:2007:NCD, author = "Xueming Wei and Shengyuan Zhou", booktitle = "{2007 International Conference on Communications, Circuits and Systems}", title = "A Novel Circuit Design Based {CORDIC} for {QAM} Modulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1197--1199", year = "2007", DOI = "https://doi.org/10.1109/ICCCAS.2007.4348261", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Circuit synthesis; Clocks; Digital modulation; Educational institutions; Energy consumption; Filters; Quadrature amplitude modulation; Satellite broadcasting; Satellite communication", } @InProceedings{Xin:2007:AOD, author = "Ru Xin and Xiao-tong Zhang and Han Li and Qin Wang and Zhan-cai Li", booktitle = "{2007 3rd International Workshop on Signal Design and Its Applications in Communications}", title = "An Area Optimized Direct Digital Frequency Synthesizer Based on Improved Hybrid {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "243--246", year = "2007", DOI = "https://doi.org/10.1109/IWSDA.2007.4408368", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; area optimized; Circuits; direct digital frequency synthesizer (DDFS); Frequency synthesizers; Hardware; HDTV; improved hybrid CORDIC; Iterative algorithms; Network synthesis; Pipelines; soft-hardware co-design; Very large scale integration; Wireless sensor networks", } @InProceedings{Yu:2007:FPP, author = "Chi-Li Yu and Tzu-Hao Yu and An-Yeu Wu", booktitle = "{2007 IEEE Workshop on Signal Processing Systems}", title = "On the Fixed-Point Properties of Mixed-Scaling-Rotation {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "430--435", year = "2007", DOI = "https://doi.org/10.1109/SIPS.2007.4387586", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Cost function; Delay; Design optimization; Digital signal processing; Hardware; Iterative algorithms; Matrix decomposition; Quantization", } @InProceedings{Yutai:2007:ADB, author = "Wang Yutai and Li Nianqiang and Zhang Lu", booktitle = "{2007 8th International Conference on Electronic Measurement and Instruments}", title = "Application of {DDS} Based on {DSP} in Rubidium Atomic Frequency Standard", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4--908--4--912", year = "2007", DOI = "https://doi.org/10.1109/ICEMI.2007.4351291", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Atomic clocks; Atomic measurements; Circuits; CORDIC algorithm; Costs; Digital signal processing; direct digital frequency synthesis; Frequency measurement; Frequency modulation; Frequency synthesizers; Rubidium atomic frequency standard; Stability; stability; Temperature", } @InProceedings{Alim:2008:FIO, author = "Onsy Abdel Alim and Nemat Elboghdadly and Mahmoud A. Ashour and Azza M. Elaskary", booktitle = "{2008 International Conference on Computer Engineering \& Systems}", title = "{FPGA} implementation for an optimized {CORDIC} module for {OFDM} system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "21--26", year = "2008", DOI = "https://doi.org/10.1109/ICCES.2008.4772959", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Circuit testing; Complexity theory; Cost function; Field programmable gate arrays; Hardware; OFDM; Prototypes; Research and development; Timing", } @InProceedings{Amruta:2008:LLH, author = "Gadgil Amruta and Parthe Yogita and Pathak Puja and P. V. Sriniwas Shastry", booktitle = "{2008 15th IEEE International Conference on Electronics, Circuits and Systems}", title = "Low latency and high accuracy architectures of {CORDIC} algorithm for cosine calculation on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "478--481", year = "2008", DOI = "https://doi.org/10.1109/ICECS.2008.4674894", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "algorithm; Communications technology; CORDIC; cosine; DCT; Delay; DFT; Digital communication; Digital signal processing; Discrete cosine transforms; DSP; Educational institutions; Equations; FFT; Field programmable gate arrays; FPGA; Hardware; hardware efficient; Signal processing algorithms; sine; trigonometric functions", } @InProceedings{Amudha:2008:FII, author = "V. Amudha and B. Venkataramani and J. Manikandan", booktitle = "{2008 International Conference on Electronic Design}", title = "{FPGA} implementation of isolated digit recognition system using modified back propagation algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2008", DOI = "https://doi.org/10.1109/ICED.2008.4786712", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Back propagation; CORDIC processor; Field programmable gate arrays; Hardware/software partitioning; soft-core processor; SOPC; speech recognition", } @Article{Antelo:2008:LLP, author = "Elisardo Antelo and Julio Villalba and Emilio L. Zapata", title = "A Low-Latency Pipelined {2D} and {3D} {CORDIC} Processors", journal = j-IEEE-TRANS-COMPUT, volume = "57", number = "3", pages = "404--417", month = mar, year = "2008", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2007.70796", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "99-03", MRnumber = "2418427", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Algorithm design and analysis; Algorithms; Approximation algorithms; Arithmetic and Logic Structures; Computer architecture; Computer arithmetic; Convergence; High-Speed Arithmetic; Linear approximation; Matrices; Program processors; Signal processing algorithms; Speech processing; Three dimensional displays", } @PhdThesis{Augustine:2008:WNM, author = "Jonathan James Augustine", title = "Weaving the net: Missional synergy through {CORDIC} connectivity", type = "{D.Min.} thesis", school = "Drew University", address = "Madison, NJ, USA", pages = "150", year = "2008", ISBN = "0-549-55396-7", ISBN-13 = "978-0-549-55396-0", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/weaving-net-missional-synergy-through-cordic/docview/304656458/se-2", acknowledgement = ack-nhfb, advisor = "A. Christopher Hammon and Vicki L. Hollon", keywords = "0319:Clergy; 0344:Social research; 0469:Theology; Apostolic; Clergy; Ministry networking; Missional leadership; Missions paradigm; Philosophy, religion and theology; Social research; Social sciences; Theology; Transformational leadership; {CORDIC} connectivity", ris-m1 = "3308637", } @InProceedings{Bhattacharyya:2008:CTP, author = "Kaushik Bhattacharyya and Swapna Banerjee", booktitle = "{TENCON 2008 --- 2008 IEEE Region 10 Conference}", title = "Computation of two {$N$}-point {IDCT}'s via a single {$N$}-point {IFFT} using radix-4 algorithm \& its proposed architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2008", DOI = "https://doi.org/10.1109/TENCON.2008.4766790", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Concurrent computing; CORDIC; Discrete cosine transforms; Frequency domain analysis; IDCT; IFFT; Image processing; Indexing; Parallel processing; Pipeline processing; Proposed Architecture; radix-4; real data; Signal processing; Signal processing algorithms", } @InProceedings{Boher:2008:ACB, author = "Laurent Boher and Rodrigue Rabineau and Maryline Helard", booktitle = "{2008 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Analysis of {CORDIC}-based triangularization for {MIMO} {MMSE} filtering", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "948--951", year = "2008", DOI = "https://doi.org/10.1109/ISCAS.2008.4541576", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; Equalizers; Field programmable gate arrays; Filtering; FPGA hardware implementation; Hardware; Iterative algorithms; Matrix decomposition; MIMO; MIMO equalization; Nonlinear filters", } @Article{Bravo:2008:NHA, author = "Ignacio Bravo and Manuel Mazo and Jos{\'E} Luis Lazaro and Pedro Jimenez and Alfredo Gardel and Marta Marron", title = "Novel {HW} Architecture Based on {FPGAs} Oriented to Solve the Eigen Problem", journal = j-IEEE-TRANS-VLSI-SYST, volume = "16", number = "12", pages = "1722--1725", year = "2008", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2008.2001939", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Application software; Computer architecture; CORDIC; Covariance matrix; eigenvalue; Eigenvalues and eigenfunctions; eigenvector; Field programmable gate arrays; field-programmable gate array (FPGA); Hardware; Jacobian matrices; Matrix decomposition; Principal component analysis; Proposals", } @InProceedings{Coyne:2008:FBC, author = "Jack Coyne and David Cyganski and R. James Duckworth", booktitle = "{2008 16th International Symposium on Field-Programmable Custom Computing Machines}", title = "{FPGA}-based Co-processor for Singular Value Array Reconciliation Tomography", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "163--172", year = "2008", DOI = "https://doi.org/10.1109/FCCM.2008.35", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; Array; Clustering algorithms; co-processor; Computer architecture; Coprocessors; CORDIC; Field programmable gate arrays; FPGA; Hardware; Location; Parallel processing; QR decomposition; Radio frequency; SART; singular value; SVD; Throughput; Tomography; Tracking; Virtex", } @InCollection{Dick:2008:CCA, author = "Chris Dick", editor = "Scott Hauck and Andr{\'e} Dehon", booktitle = "Reconfigurable Computing", title = "{CORDIC} Architectures for {FPGA} Computing", chapter = "25", publisher = "Morgan Kaufmann", address = "Burlington", pages = "513--537", year = "2008", DOI = "https://doi.org/10.1016/B978-012370522-8.50033-9", ISSN = "18759661", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", series = "Systems on Silicon", URL = "https://www.sciencedirect.com/science/article/pii/B9780123705228500339", acknowledgement = ack-nhfb, } @InProceedings{Gan:2008:NCA, author = "Xin-biao Gan and Kui Dai and Li-bo Huang and Li Shen and Zhi-ying Wang", booktitle = "{2008 International Conference on Multimedia and Ubiquitous Engineering (mue 2008)}", title = "A New {CORDIC} Algorithm and Software Implementation Based on Synchronized Data Triggering Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "83--86", year = "2008", DOI = "https://doi.org/10.1109/MUE.2008.40", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Computer science; Data engineering; Gallium nitride; Libraries; Mathematics; Neurons; Software algorithms; Testing", } @Book{Heyne:2008:ECB, author = "Benjamin Heyne", title = "Efficient {CORDIC} based implementation of selected signal processing algorithms", publisher = "Aachen: Shaker Verlag; Dortmund: Univ. Dortmund, Fakult{\"a}t f{\"u}r Elektrotechnik und Informationstechnik (Diss.)", year = "2008", ISBN = "3-8322-7746-3", ISBN-13 = "978-3-8322-7746-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", series = "Ber. Inf.tech.", URL = "www.shaker.de/de/content/catalogue/index.asp?lang=de&ID=8&ISBN=978-3-8322-7746-8", ZMnumber = "1154.94301", acknowledgement = ack-nhfb, fseries = "Berichte aus der Informationstechnik", keywords = "94-02,94Axx", ZBmath = "5485976", } @InProceedings{Hsiao:2008:EDF, author = "Shen-Fu Hsiao and Hsin-Mau Lee and Yen-Chun Cheng and Ming-Yu Tsai", booktitle = "{APCCAS 2008 --- 2008 IEEE Asia Pacific Conference on Circuits and Systems}", title = "Efficient designs of floating-point {CORDIC} rotation and vectoring operations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1422--1425", year = "2008", DOI = "https://doi.org/10.1109/APCCAS.2008.4746297", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Computer science; Costs; Delay; Design engineering; Fixed-point arithmetic; Floating-point arithmetic; Graphics; High performance computing; Process design", } @InProceedings{Jayshankar:2008:ECD, author = "Jayshankar", booktitle = "{TENCON 2008 --- 2008 IEEE Region 10 Conference}", title = "Efficient computation of the {DFT} of a {2N} --- point real sequence using {FFT} with {CORDIC} based butterflies", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2008", DOI = "https://doi.org/10.1109/TENCON.2008.4766592", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Difference equations; Discrete Fourier transforms; Fast Fourier transforms; Fourier transforms; Frequency; Performance analysis; Read only memory; Signal analysis; Signal to noise ratio", } @Article{Jimeno:2008:BBA, author = "Antonio Jimeno and Higinio Mora and Jose L. Sanchez and Francisco Pujol", title = "A {BCD}-based architecture for fast coordinate rotation", journal = j-J-SYST-ARCH, volume = "54", number = "8", pages = "829--840", year = "2008", CODEN = "JSARFB", DOI = "https://doi.org/10.1016/j.sysarc.2008.02.001", ISSN = "1383-7621 (print), 1873-6165 (electronic)", ISSN-L = "1383-7621", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1383762108000325", acknowledgement = ack-nhfb, fjournal = "Journal of Systems Architecture", journal-URL = "https://www.sciencedirect.com/journal/journal-of-systems-architecture", keywords = "Binary coded decimals; Computer performance; CORDIC; Digital arithmetic", } @Article{Juang:2008:LLA, author = "Tso-Bing Juang", title = "Low Latency Angle Recoding Methods for the Higher Bit-Width Parallel {CORDIC} Rotator Implementations", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "55", number = "11", pages = "1139--1143", year = "2008", DOI = "https://doi.org/10.1109/TCSII.2008.2002566", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "CMOS technology; Concurrent computing; Coordinate rotation digital computer (CORDIC); Delay; Digital signal processing; Large scale integration; Matrix decomposition; Signal design; signal processing; Signal processing algorithms; Very large scale integration; very large-scale integration (VLSI) design", } @InProceedings{Kambalapally:2008:CIS, author = "Prashanth Reddy Kambalapally and Donald S. Zinger", booktitle = "{2008 IEEE Industry Applications Society Annual Meeting}", title = "{CORDIC} Implementation of Space Vector Modulation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2008", DOI = "https://doi.org/10.1109/08IAS.2008.179", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AC motors; Frequency; Microcontrollers; Phase modulation; Pulse width modulation; Pulse width modulation inverters; Support vector machines; Switches; Table lookup; Voltage", } @InProceedings{Lakshmi:2008:HSA, author = "B. Lakshmi and A. S. Dhar", booktitle = "{TENCON 2008 --- 2008 IEEE Region 10 Conference}", title = "High speed architectural implementation of {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2008", DOI = "https://doi.org/10.1109/TENCON.2008.4766767", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; CORDIC algorithm; Costs; Delay; Design engineering; Electronic mail; Iterative algorithms; radix-4; redundant arithmetic; Registers; rotation mode; Signal processing algorithms; Variable speed drives", } @InProceedings{Lakshmi:2008:LLV, author = "B. Lakshmi and A. S. Dhar", booktitle = "{2008 IEEE Region 10 and the Third international Conference on Industrial and Information Systems}", title = "Low Latency {VLSI} Architecture for the Radix-4 {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2008", DOI = "https://doi.org/10.1109/ICIINFS.2008.4798377", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Computer architecture; CORDIC algorithm; Delay; Hardware; Iterative algorithms; radix-4; redundant arithmetic; Region 10; rotation mode; Sections; Signal processing algorithms; Throughput; Very large scale integration", } @InProceedings{Laulainen:2008:CTC, author = "Erkka Laulainen and Lauri Koskinen and Marko Kosunen and Kari Halonen", booktitle = "{2008 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Compass tilt compensation algorithm using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1188--1191", year = "2008", DOI = "https://doi.org/10.1109/ISCAS.2008.4541636", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; Accelerometers; Algorithm design and analysis; Clocks; Compass; CORDIC; Costs; Electronic circuits; Field programmable gate arrays; Magnetic sensors; Navigation; Solid state circuits; Tilt Compensation", } @InProceedings{Maharatna:2008:RDC, author = "Koushik Maharatna and Karim El-Shabrawy and Bashir Al-Hashimi", booktitle = "{2008 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Reduced {$Z$}-datapath {CORDIC} Rotator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3374--3377", year = "2008", DOI = "https://doi.org/10.1109/ISCAS.2008.4542182", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; computer arithmetic; Concurrent computing; CORDIC; Digital arithmetic; Digital signal processing; Economic forecasting; Hardware; Iterative algorithms; Logic; low-power; Power generation economics; Silicon", } @InProceedings{Meena:2008:FBR, author = "D. Meena and L. G. M. Prakasam", booktitle = "{4th IEEE International Symposium on Electronic Design, Test and Applications (delta 2008)}", title = "{FPGA} Based Real Time Solution for Sensitivity Time Control", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "244--248", year = "2008", DOI = "https://doi.org/10.1109/DELTA.2008.87", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Attenuation; Attenuators; Clutter; CORDIC; Dynamic range; Electronic equipment testing; Field programmable gate arrays; FPGA; Gain control; Radar applications; Radar signal processing; Sensitivity Time Control; Timing", } @InProceedings{Miller:2008:TFS, author = "Scott Miller and Mihai Sima and Michael McGuire", booktitle = "{2008 42nd Asilomar Conference on Signals, Systems and Computers}", title = "Transcedental functions on a shift-enabled reconfigurable device: {CORDIC} as a case-study", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1795--1799", year = "2008", DOI = "https://doi.org/10.1109/ACSSC.2008.5074736", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Costs; Delay; Field programmable gate arrays; Flexible printed circuits; Hardware; Iterative algorithms; Multiprocessor interconnection networks; Signal processing algorithms; Tiles", } @InProceedings{Mingwei:2008:ASF, author = "Li Mingwei and Mao Zhen and Sui Yongsheng", booktitle = "{2008 Chinese Control and Decision Conference}", title = "Angular solution to {FPGA}-based high speed synchro", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1772--1776", year = "2008", DOI = "https://doi.org/10.1109/CCDC.2008.4597627", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; angle mapping; Computer architecture; CORDIC algorithm; Equations; Field programmable gate arrays; FPGA; Hardware; Registers; Rotors; synchro", } @InProceedings{Naguil:2008:MHC, author = "J. L. Naguil and E. N. Pereyra Toledo and W. J. D. Cova", booktitle = "{2008 IEEE/PES Transmission and Distribution Conference and Exposition: Latin America}", title = "Measurement of the harmonic contents of electric signals using {FPGA} and switched capacitor filters", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2008", DOI = "https://doi.org/10.1109/TDC-LA.2008.4641813", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amplitude harmonic distortion; Band pass filters; Capacitors; CORDIC algorithm; Distortion measurement; Field programmable gate arrays; FPGA; Goertzel transform; Harmonic analysis; Power harmonic filters; Semiconductor device measurement; switched capacitor filters", } @InProceedings{Palanisamy:2008:ERC, author = "P. Palanisamy and R. Thilagavathy and M. Ratheesh Kumar and A. Srihari", booktitle = "{2008 International Conference on Signal Processing, Communications and Networking}", title = "Efficient Realization of {CORDIC} based {LDPC} Decoder for {WiMax} System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "41--45", year = "2008", DOI = "https://doi.org/10.1109/ICSCN.2008.4447158", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Decoding; Disk drives; Encoding; Hardware design languages; ISO standards; Libraries; Parity check codes; Table lookup; WiMAX; Wireless communication", } @InProceedings{Parfieniuk:2008:SCP, author = "Marek Parfieniuk", booktitle = "{2008 International Conference on Signals and Electronic Systems}", title = "Shortening the critical path in {CORDIC}-based approximations of the eight-point {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "405--408", year = "2008", DOI = "https://doi.org/10.1109/ICSES.2008.4673449", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Circuits; Computer science; CORDIC; critical path; DCT; Discrete Cosine Transform; Discrete cosine transforms; Filter bank; fixed-point implementation; Flow graphs; Hardware; Image coding; Real time systems; Transmission line matrix methods", } @InProceedings{Sanchez:2008:AII, author = "Jose-Luis Sanchez and Higinio Mora and Jeronimo Mora and Antonio Jimeno", booktitle = "{2008 IEEE International Conference on Computer Design}", title = "Architecture implementation of an improved decimal {CORDIC} method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "95--100", year = "2008", DOI = "https://doi.org/10.1109/ICCD.2008.4751846", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer aided manufacturing; Computer architecture; Digital arithmetic; Equations; Field programmable gate arrays; Hardware; Iterative algorithms; Manufacturing processes; Microprocessors", } @InProceedings{Shehata:2008:FBB, author = "Khaled A. Shehata and Mohamed A. Aboul-Dahab and Salwa H. {El Ramly} and Karim A. Hamouda", booktitle = "{2008 2nd International Conference on Signals, Circuits and Systems}", title = "An {FPGA} based 1-bit all digital transmitter employing Delta-Sigma Modulation with {RF} output for {SDR}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2008", DOI = "https://doi.org/10.1109/ICSCS.2008.4746928", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "All Digital RF Transmitter; CIC filter; Communication industry; Computer architecture; Computer industry; CORDIC; Delta-sigma modulation; Digital filters; Field programmable gate arrays; low pass Delta Sigma Modulator; Radio frequency; Radio transmitters; SDR; Signal synthesis; Software radio", } @InProceedings{Sima:2008:RAT, author = "Mihai Sima and Michael McGuire and Scott Miller", booktitle = "Proceedings of the {2005 International Conference on Engineering of Reconfigurable Systems and Algorithms (ERSA 2005)}", title = "Reconfigurable Array for Transcendental Functions Calculation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "49--56", month = dec, year = "2008", DOI = "https://doi.org/10.1109/fpt.2008.4762365", bibdate = "Mon Nov 10 06:57:23 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, keywords = "acos; asin; cosine; exp; log; sine; sqrt", } @Article{Sumanasena:2008:SFC, author = "M. G. Buddika Sumanasena", title = "A Scale Factor Correction Scheme for the {CORDIC} Algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "57", number = "8", pages = "1148--1152", month = aug, year = "2008", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2008.41", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "33F10 (33B10)", MRnumber = "2447108", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1390.33042", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "33F10,33B10; Adders; Approximation algorithms; Clocks; Computer arithmetic; Hardware; Numerical algorithms; Quantization (signal); Standards; Upper bound", ZBmath = "6885744", } @InProceedings{Terauds:2008:CFP, author = "Maris Terauds and Gatis Valters and Uldis Derums and Nauris Vasilevskis and Peteris Misans", booktitle = "{2008 NORCHIP}", title = "Comparison of Fixed-Point Arithmetic Errors for the {FPGA}-based {CRAIMOT} Basis Function Generators", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "108--113", year = "2008", DOI = "https://doi.org/10.1109/NORCHP.2008.4738293", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC algorithm; Discrete cosine transforms; Error analysis; Field programmable gate arrays; Fixed-point arithmetic; Fixed-point errors; FPGA; Generation of basis functions; Interpolation; Quantization; Signal generators; Signal synthesis; Speech synthesis", } @Article{Troya:2008:LPV, author = "Alfonso Troya and Koushik Maharatna and Milos Krstic and Eckhard Grass and Ulrich Jagdhold and Rolf Kraemer", title = "Low-Power {VLSI} Implementation of the Inner Receiver for {OFDM}-based {WLAN} Systems", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "55", number = "2", pages = "672--686", year = "2008", DOI = "https://doi.org/10.1109/TCSI.2007.913732", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Circuit synthesis; Clocks; Computer architecture; Coordinate rotation digital computer (CORDIC); CORDIC; Delay; fast Fourier transform (FFT); Fast Fourier transforms; FFT; Hardware; OFDM; orthogonal frequency-division multiplexing (OFDM); Signal processing algorithms; Synchronization; Very large scale integration; Wireless LAN; wireless local area network (WLAN); WLAN", } @InProceedings{Tsai:2008:CAH, author = "Tsung Han Tsai and Chia-Hao Yeh and Yu-Jung Huang", booktitle = "{APCCAS 2008 --- 2008 IEEE Asia Pacific Conference on Circuits and Systems}", title = "{CORDIC} architecture for {Hough Transform} applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "442--445", year = "2008", DOI = "https://doi.org/10.1109/APCCAS.2008.4746055", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational modeling; Computer architecture; Cyclones; Field programmable gate arrays; Filtering; Floating-point arithmetic; Image converters; Image enhancement; Layout; Object detection", } @InProceedings{Yao:2008:RTI, author = "Bin Yao and Haisen Li and Tian Zhou and Baowei Chen and Haixin Yu", booktitle = "{2008 Fifth IEEE International Symposium on Embedded Computing}", title = "Real-Time Implementation of Multiple Sub-array Beam-Space {MUSIC} Based on {FPGA} and {DSP} Array", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "186--191", year = "2008", DOI = "https://doi.org/10.1109/SEC.2008.6", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Covariance matrix; Digital signal processing; Direction of arrival estimation; DSP; Eigenvalues and eigenfunctions; Field programmable gate arrays; FPGA; Hardware; Jacobian matrices; Lakes; MSB-MUSIC; Multiple signal classification; parallel Jacobi; Parallel processing; VD", } @InProceedings{Yili:2008:KCD, author = "Zheng Yili and Sun Hanxu and Jia Qingxuan and Shi Guozhen", booktitle = "{2008 6th IEEE International Conference on Industrial Informatics}", title = "Kinematics control for a {6-DOF} space manipulator based on {ARM} processor and {FPGA} Co-processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "129--134", year = "2008", DOI = "https://doi.org/10.1109/INDIN.2008.4618080", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "6-DOF; Aerospace electronics; ARM; CORDIC; Field programmable gate arrays; FPGA; Grippers; Kinematics; Manipulators; Pipelines; Process control; Signal processing algorithms; Space Manipulator; Vectors", } @InProceedings{Zhou:2008:DCF, author = "Jie Zhou and Yazhuo Dong and Yong Dou and Yuanwu Lei", booktitle = "{2008 International Conference on Embedded Software and Systems}", title = "Dynamic Configurable Floating-Point {FFT} Pipelines and Hybrid-Mode {CORDIC} on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "616--620", year = "2008", DOI = "https://doi.org/10.1109/ICESS.2008.95", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Azimuth; Clocks; CORDIC; Dynamic configurable pipeline; FFT; Field programmable gate arrays; Floating-point; FPGA; Lead; Pipelines; Process control; Table lookup", } @InProceedings{Zhou:2008:DPH, author = "Jie Zhou and Yong Dou and Yuanwu Lei and Jinbo Xu and Yazhuo Dong", booktitle = "{2008 10th IEEE International Conference on High Performance Computing and Communications}", title = "Double Precision Hybrid-Mode Floating-Point {FPGA} {CORDIC} Co-processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "182--189", year = "2008", DOI = "https://doi.org/10.1109/HPCC.2008.14", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Convergence; CORDIC; double precision; Equations; Field programmable gate arrays; floating-point; FPGA; Hardware; hybrid-mode; Mathematical model; Pipelines", } @InProceedings{Zhou:2008:HMF, author = "Jie Zhou and Yong Dou and Yuanwu Lei and Yazhuo Dong", title = "Hybrid-Mode Floating-Point {FPGA} {CORDIC} Co-processor", crossref = "Woods:2008:RCA", pages = "256--261", year = "2008", DOI = "https://doi.org/10.1007/978-3-540-78610-8_25", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } @InProceedings{Zou:2008:AIB, author = "Decai Zou and Xiaochun Lu and Haitao Wu and Jinsong Xu", booktitle = "{2008 4th International Conference on Wireless Communications, Networking and Mobile Computing}", title = "Application of {IFFT} Based on {CORDIC} Algorithms in {OFDM-UWB} System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2008", DOI = "https://doi.org/10.1109/WiCom.2008.237", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Fast Fourier transforms; Field programmable gate arrays; IEC standards; ISO standards; OFDM modulation; RF signals; Software algorithms; Standards organizations; Ultra wideband technology", } @Article{Zou:2008:FIE, author = "X. Zou", title = "{FPGA} Implementation of Exponent Function Based on {CORDIC}", journal = "Public Technology", volume = "10", number = "??", pages = "36--37", month = "", year = "2008", DOI = "", bibdate = "Tue Nov 11 20:12:21 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Adiono:2009:SPC, author = "Trio Adiono and Randy Saut Purba", booktitle = "{2009 International Conference on Electrical Engineering and Informatics}", title = "Scalable pipelined {CORDIC} architecture design and implementation in {FPGA}", volume = "02", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "646--649", year = "2009", DOI = "https://doi.org/10.1109/ICEEI.2009.5254736", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Digital signal processing; Equations; Field programmable gate arrays; FPGA; Hardware design languages; Pipelines; Read only memory; RTL; Signal processing; Signal processing algorithms; Throughput; trigonometry", } @InProceedings{Arnold:2009:DPR, author = "Mark G. Arnold and Sylvain Collange", title = "A Dual-Purpose Real\slash Complex Logarithmic Number System {ALU}", crossref = "Bruguera:2009:PIS", pages = "15--24", year = "2009", bibdate = "Fri Jun 12 12:34:25 2009", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "The real Logarithmic Number System (LNS) allows fast and inexpensive multiplication and division but more expensive addition and subtraction as precision increases. Recent advances in higher-order and multipartite table methods, together with cotransformation, allow real LNS ALUs to be implemented effectively on FPGAs for a wide variety of medium-precision special-purpose applications. The Complex LNS (CLNS) is a generalization of LNS which represents complex values in log-polar form. CLNS is a more compact representation than traditional rectangular methods, reducing the cost of busses and memory in intensive complex-number applications like the FFT; however, prior CLNS implementations were either slow CORDIC-based or expensive 2D-table-based approaches. This paper attempts to leverage the recent advances made in real-valued LNS units for the more specialized context of CLNS. This paper proposes a novel approach to reduce the cost of CLNS addition by re-using a conventional real-valued LNS ALU with specialized CLNS hardware that is smaller than the real-valued LNS ALU to which it is attached. The resulting ALU is much less expensive than prior fast CLNS units at the cost of some extra delay. The extra hardware added to the ALU is for trigonometric-related functions, and may be useful in LNS applications other than CLNS. The novel algorithm proposed here is implemented using the FloPoCo library (which incorporates recent HOTBM advances in function-unit generation), and FPGA synthesis results are reported.", acknowledgement = ack-nhfb, keywords = "ARITH-19; complex arithmetic; FPGA; hardware function evaluation; logarithmic number system", } @Article{Barras:2009:LPB, author = "David Barras and Robert Meyer-Piening and George von Bueren and Walter Hirt and Heinz Jaeckel", title = "A Low-Power Baseband {ASIC} for an Energy-Collection {IR-UWB} Receiver", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, volume = "44", number = "6", pages = "1721--1733", year = "2009", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/JSSC.2009.2020199", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Solid-State Circuits", keywords = "Acquisition; Application specific integrated circuits; Baseband; baseband processor; BER; CMOS technology; CORDIC algorithm; Frequency shift keying; non-coherent demodulation; Pulse modulation; quadricorrelation; Radio frequency; Receivers; RF signals; Signal processing; SNR estimate; synchronization; Ultra wideband technology; ultra-wideband (UWB)", } @InProceedings{Chaitanya:2009:ICB, author = "K. S. Chaitanya and P. Muralidhar and C. B. Rama Rao", booktitle = "{2009 2nd IEEE International Conference on Computer Science and Information Technology}", title = "Implementation of {CORDIC} based {RAKE} receiver architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "563--568", year = "2009", DOI = "https://doi.org/10.1109/ICCSIT.2009.5234625", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; bit error rate (BER); CDMA; CORDIC; Diversity reception; equal-gain combining; Fading; Field programmable gate array (FPGA); Field programmable gate arrays; Hardware; maximal-ratio combining; Multiaccess communication; Multipath channels; NIOS II processor; Propagation delay; RAKE receiver; RAKE receivers; Signal to noise ratio; system-on-chip (SoC)", } @InProceedings{Cortez:2009:LCD, author = "Joaquin Cortez and Miguel Bazdresch and Armando Garcia", booktitle = "{2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications}", title = "Low complexity detector for {STBC-VBLAST} architecture based on {SQRD} decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2549--2553", year = "2009", DOI = "https://doi.org/10.1109/PIMRC.2009.5449994", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; Channel capacity; CORDIC algorithm; Detectors; Fading; Givens rotations; Hybrid Space-Time Codes; MIMO; MIMO Receivers; Receiving antennas; Signal detection; Space time codes; Transmitting antennas; Wireless communication", } @InProceedings{Dahab:2009:FPD, author = "Mohamed A. Dahab and Khaled A. Shehata and Salwa H. {El Ramly} and Karim A. Hamouda", booktitle = "{2009 National Radio Science Conference, 17--19 March 2009, New Cairo, Egypt}", title = "{FPGA} prototyping of digital {RF} transmitter employing Delta Sigma modulation for {SDR}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2009", ISBN = "1-4244-4214-1", ISBN-13 = "978-1-4244-4214-0", ISSN = "1110-6980", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5233994/", acknowledgement = ack-nhfb, keywords = "All Digital Transmitter; CIC filter; Computer architecture; CORDIC; DDFS; Delta-sigma modulation; Field programmable gate arrays; low pass Delta Sigma Modulator; MGT; NCO; Prototypes; Radio frequency; Radio transceivers; Radio transmitters; SDR; Signal synthesis; Software prototyping; Software radio", } @Article{DeCaro:2009:DSM, author = "Davide {De Caro} and Nicola Petra and Antonio G. M. Strollo", title = "Digital Synthesizer\slash Mixer With Hybrid {CORDIC} Multiplier Architecture: Error Analysis and Optimization", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "56", number = "2", pages = "364--373", year = "2009", DOI = "https://doi.org/10.1109/TCSI.2008.2001370", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "99-01", MRnumber = "3030492", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1469.94241", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "94C30; Angle rotator; Circuits; CMOS technology; Computer architecture; CORDIC algorithm; Delay; digital downconverter; digital mixer; digital synthesizer; digital tuner; digital upconverter; direct digital frequency synthesizer (DDFS); Equations; Error analysis; Frequency synthesizers; mixer; modulator; quadrature modulator; Signal processing algorithms; Table lookup; Tuners", ZBmath = "7390012", } @InProceedings{Ganai:2009:EDP, author = "Malay K. Ganai and Franjo Ivan{\v{c}}i{\'c}", booktitle = "{2009 Formal Methods in Computer-Aided Design}", title = "Efficient decision procedure for non-linear arithmetic constraints using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "61--68", year = "2009", DOI = "https://doi.org/10.1109/FMCAD.2009.5351140", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Constraint theory; Control systems; Floating-point arithmetic; Laboratories; National electric code; Nonlinear control systems; Numerical stability; Operations research; Search engines; Surface-mount technology", } @InProceedings{Gao:2009:CAR, author = "Qiang Gao and Louise Crockett and Robert Stewart", booktitle = "{2009 17th European Signal Processing Conference, 24--28 August 2009, Glasgow, Scotland}", title = "Coarse Angle Rotation Mode {CORDIC} based single Processing Element {QR-RLS} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1279--1283", year = "2009", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/7077607/", acknowledgement = ack-nhfb, keywords = "Abstracts; Arrays; Clocks; Matrix decomposition; Pipelines; Standards; Table lookup", } @InProceedings{Gestner:2009:VIE, author = "Brian Gestner and Wei Zhang and Xiaoli Ma and David V. Anderson", booktitle = "{2009 IEEE International Conference on Acoustics, Speech and Signal Processing}", title = "{VLSI} implementation of an effective lattice reduction algorithm with fixed-point considerations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "577--580", year = "2009", DOI = "https://doi.org/10.1109/ICASSP.2009.4959649", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit error rate; CORDIC; Detectors; Equalizers; Field programmable gate arrays; Hardware; Lattice Reduction; Lattices; Maximum likelihood detection; MIMO; Processor scheduling; Scheduling algorithm; Very large scale integration", } @InProceedings{Groling:2009:HPP, author = "Ch. Groling and Y. Daaboul and M. Lux and T. Orlik and W. Schumacher", booktitle = "{2009 13th European Conference on Power Electronics and Applications, 08--10 September 2009, Barcelona, Spain}", title = "High-performance position evaluation of optical encoders via a {CORDIC} algorithm and oversampling techniques on an {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--9", year = "2009", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5278984/", acknowledgement = ack-nhfb, keywords = "Acoustic noise; Demodulation; Field programmable gate arrays; Harmonics; Motion Control; Motion control; Noise; Optical feedback; Optical noise; Optical sensors; Power harmonic filters; Sensor; Servo-drive; Servomechanisms; Signal resolution", } @InProceedings{Han:2009:RFO, author = "Jae-Woong Han and Young-Beom Jang", booktitle = "{2009 Australian Communications Theory Workshop}", title = "A Residual Frequency Offset Synchronization Scheme Using a Simplified {CORDIC} Algorithm in {OFDM} Systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "67--70", year = "2009", DOI = "https://doi.org/10.1109/AUSCTW.2009.4805602", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Data communication; Demodulation; Fading; Fast Fourier transforms; Frequency synchronization; Hardware; Maximum likelihood estimation; OFDM; Robustness; Telecommunication computing", } @InProceedings{Hu:2009:OAD, author = "Shuhua Hu and Hui Li and Jiaqing Huang", booktitle = "{2009 WRI International Conference on Communications and Mobile Computing}", title = "An Optimal Algorithm for Designing {NCO} Circuit in Mobile Communication Systems", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "372--376", year = "2009", DOI = "https://doi.org/10.1109/CMC.2009.132", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Circuits; Communication; CORDIC; Costs; Frequency; GSM; Mobile communication; NCO; Oscillators; Table lookup; Tuning", } @InProceedings{Khare:2009:HEA, author = "Kavita Khare and Nilay Khare and Supriya Aggarwal", booktitle = "{2009 IEEE International Advance Computing Conference}", title = "Hardware Efficient Algorithm for Complex Arithmetic", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "209--213", year = "2009", DOI = "https://doi.org/10.1109/IADCC.2009.4809008", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Computer architecture; CORDIC; Digital arithmetic; Digital signal processing; FPGA; Hardware; ISE Simulator; Recursive Architecture; Signal processing algorithms; Taylor series; Throughput; Very large scale integration; Xilinx9.2i", } @InProceedings{Lakshmi:2009:FIH, author = "B. Lakshmi and A. S. Dhar", booktitle = "{TENCON 2009 --- 2009 IEEE Region 10 Conference}", title = "{FPGA} implementation of a high speed {VLSI} architecture for {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2009", DOI = "https://doi.org/10.1109/TENCON.2009.5396201", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Biomedical computing; Communication industry; Computer architecture; Computer industry; CORDIC algorithm; Delay; Digital signal processing; Field programmable gate arrays; Product design; redundant arithmetic; rotation mode; Signal processing algorithms; Very large scale integration; VLSI architecture", } @InProceedings{Lin:2009:RSB, author = "You-Rong Lin and Jeich Mar", booktitle = "{2009 IEEE 20th International Symposium on Personal, Indoor and Mobile Radio Communications}", title = "Realization of subspace-based digital beamformer using {CORDIC} algorithm based on software defined radio architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "798--802", year = "2009", DOI = "https://doi.org/10.1109/PIMRC.2009.5450381", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application software; Circuits; Computer architecture; field programmable gate array (FPGA); Field programmable gate arrays; hardware reconfiguration; Linear systems; Matrix decomposition; multi-function matrix operation (MFMO); Programmable logic arrays; Software algorithms; Software radio; subspace digital beamforming (DBF)", } @Article{Meher:2009:YCA, author = "Pramod K. Meher and Javier Valls and Tso-Bing Juang and K. Sridharan and Koushik Maharatna", title = "50 Years of {CORDIC}: Algorithms, Architectures, and Applications", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "56", number = "9", pages = "1893--1907", year = "2009", DOI = "https://doi.org/10.1109/TCSI.2009.2025803", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "68M07 (65-03 68-03)", MRnumber = "2723225", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://eprints.soton.ac.uk/267873/1/tcas1_cordic_review.pdf", ZMnumber = "1468.68026", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Application software; Arithmetic circuits; Computer architecture; CORDIC; CORDIC algorithms; digital signal processing chip; Eigenvalues and eigenfunctions; Graphics; Image processing; Lifting equipment; Linear systems; Robot kinematics; Signal processing; Singular value decomposition; VLSI", remark-1 = "From page 1893: ``Although CORDIC may not be the fastest technique to perform these operations, it is attractive due to the simplicity of its hardware implementation, since the same iterative algorithm could be used for all these applications using the basic shift--add operations of the form $a \pm b 2^{-i}$.''", remark-2 = "From page 1901: ``A detailed discussion on rounding error due to fixed and floating point implementations is available in [62]. In his earlier work, Walther \cite{Walther:1971:UAE} concluded that the errors in the CORDIC output are bounded, and $\log_2 n$ extra bits are required in the datapaths to take care of the errors. Hu \cite{Hu:1992:QEC} has provided more precise error bounds due to the angle approximation error for different CORDIC modes for fixed point as well as floating-point implementations. The error bound resulting for fixed point representation of arctangents is further analyzed by Kota and Cavallaro \cite{Kota:1993:NAH} and its impact on practical implementation has been discussed.''", remark-3 = "From pages 1901--1902: ``To achieve $n$-bit accuracy, if fixed-point arithmetic is applied, the wordlength of $x$ and $y$ data-path is $(n + 2 + \log_2(n))$ and for the computation of the angle $\theta$, it is $(n + \log_2(n))$ \cite{Dawid:1996:DCA,Kota:1993:NAH}.''", remark-4 = "From page 1904: ``Latency of computation, however, continues to be the major drawback of the CORDIC algorithm, since we do not have efficient algorithms for its parallel implementation. But, CORDIC on the other hand is inherently suitable for pipelined designs, due to its iterative behavior, and small cycle time compared with the conventional arithmetic.''", ZBmath = "7386719", } @InProceedings{Murong:2009:CCA, author = "Jiang Murong and Yang Jun and Guo Yuedong and Du Xiaogang and Li Na", booktitle = "{2009 International Conference on Industrial Mechatronics and Automation}", title = "Combining {CORDIC} algorithm and {FPGA} to design dual core {FFT} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "68--71", year = "2009", DOI = "https://doi.org/10.1109/ICIMA.2009.5156562", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; BUF FPGA; Clocks; CORDIC algorithm; Design automation; Design engineering; FFT processor; Field programmable gate arrays; Information science; Mechatronics; Pipelines; Signal processing; Signal processing algorithms", } @InProceedings{Narkhede:2009:FIL, author = "Nitin P. Narkhede and Shyamkant S. Limaye", booktitle = "{2009 International Conference on Advances in Computing, Control, and Telecommunication Technologies}", title = "{FPGA} Implementation of Low Phase Noise Oscillator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "244--247", year = "2009", DOI = "https://doi.org/10.1109/ACT.2009.68", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Communication system control; Computer architecture; CORDIC; DDS; Equations; Field programmable gate arrays; Hardware; Oscillators; Phase noise; Residual angle; Stability; Telecommunication computing; Telecommunication control; VHDL", } @InProceedings{Nilsson:2009:CRU, author = "Peter Nilsson", booktitle = "{2009 16th IEEE International Conference on Electronics, Circuits and Systems --- (ICECS 2009)}", title = "Complexity reductions in unrolled {CORDIC} architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "868--871", year = "2009", DOI = "https://doi.org/10.1109/ICECS.2009.5410765", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Computer architecture; Costs; Delay; Energy consumption; Hardware; Information technology; Input variables; Iterative algorithms; Read only memory", } @Article{Park:2009:CBD, author = "Jong Kang Park and Jong Tae Kim and Myong-Chul Shin", title = "A {CORDIC}-based digital protective relay and its architecture", journal = j-MICROELECT-RELIABILITY, volume = "49", number = "4", pages = "438--447", year = "2009", CODEN = "MCRLAS", DOI = "https://doi.org/10.1016/j.microrel.2008.12.008", ISSN = "0026-2714 (print), 1872-941x (electronic)", ISSN-L = "0026-2714", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0026271408004307", acknowledgement = ack-nhfb, fjournal = "Microelectronics and Reliability", } @InProceedings{Reddy:2009:PCA, author = "P. Sudhakar Reddy and G. Ramachandra Reddy", booktitle = "{2009 International Conference on Communication Software and Networks}", title = "Performance Comparison of Autocorrelation and {CPRDIC} Algorithm Implemented on {FPGA} for {OFDM} Based {WLAN}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "575--579", year = "2009", DOI = "https://doi.org/10.1109/ICCSN.2009.172", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Autocorrelation; Channel estimation; CORDIC; Field programmable gate arrays; FPGA; Frequency conversion; Frequency estimation; Hardware design languages; Keywords:Autocorrelation; OFDM; Testing; Wireless LAN; WLAN", } @Article{Sanchez:2009:IMI, author = "Jose-Luis Sanchez and Higinio Mora and Jeronimo Mora and Fco. Javier Ferrandez and Antonio Jimeno", title = "An iterative method for improving decimal calculations on computers", journal = j-MATH-COMP-MODELLING, volume = "50", number = "5", pages = "869--878", year = "2009", CODEN = "MCMOEG", DOI = "https://doi.org/10.1016/j.mcm.2009.05.016", ISSN = "0895-7177 (print), 1872-9479 (electronic)", ISSN-L = "0895-7177", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Mathematical Models in Medicine \& Engineering", URL = "https://www.sciencedirect.com/science/article/pii/S0895717709001496", acknowledgement = ack-nhfb, fjournal = "Mathematical and computer modelling", keywords = "CORDIC; Decimal arithmetic; Hardware design", } @InProceedings{Senthilvelan:2009:CIS, author = "Murugappan Senthilvelan and Mihai Sima and Daniel Iancu and Javier Hormigo and Michael Schulte", booktitle = "{2009 Conference Record of the Forty-Third Asilomar Conference on Signals, Systems and Computers}", title = "{CORDIC} instruction set extensions for matrix decompositions on Software Defined Radio processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1792--1797", year = "2009", DOI = "https://doi.org/10.1109/ACSSC.2009.5470207", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; Computer industry; Costs; Digital signal processors; Matrix decomposition; Physical layer; Signal processing algorithms; Software radio; Time to market; Wireless application protocol", } @InProceedings{Sharma:2009:ICA, author = "Satish Sharma and P. N. Ravichandran and Sunil Kulkarni and M. Vanitha and P. Lakshminarsimahan", booktitle = "{2009 International Conference on Advances in Recent Technologies in Communication and Computing}", title = "Implementation of {Para-CORDIC} Algorithm and Its Applications in Satellite Communication", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "266--270", year = "2009", DOI = "https://doi.org/10.1109/ARTCom.2009.137", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Artificial satellites; communication system; Communications technology; digital communication; digital frequency synthesiszer; Digital systems; Equations; Frequency synthesizers; Hardware; Parallel architectures; Satellite communication; satellite communication; Testing", } @InProceedings{Shuqin:2009:LPD, author = "Wan Shuqin and Huang Yiding and Zang Kaihong and Yu Zongguang", booktitle = "{2009 IEEE 8th International Conference on ASIC}", title = "A {200MHz} low-power direct digital frequency synthesizer based on mixed structure of angle rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1177--1179", year = "2009", DOI = "https://doi.org/10.1109/ASICON.2009.5351174", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "angle rotation; Arithmetic; CMOS technology; Computer architecture; Concurrent computing; CORDIC algorithm; Delay; Direct digital frequency synthesizer (DDFS); Frequency synthesizers; Logic circuits; pipeline; Pipelines; Power dissipation; Table lookup", } @InProceedings{Suchitra:2009:ACH, author = "S. Suchitra and R. K. Satzoda and T. Srikanthan", booktitle = "{Proceedings of the 2009 12th International Symposium on Integrated Circuits, 14--16 December 2009, Singapore}", title = "Accelerating {CORDIC} for {Hough} transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "167--170", year = "2009", ISBN = "981-08-2468-8", ISBN-13 = "978-981-08-2468-6", ISSN = "2325-0631", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5403892/", acknowledgement = ack-nhfb, keywords = "Acceleration; Computational complexity; CORDIC; Costs; Engines; Equations; Hardware; Hough Transform; Image edge detection; Iterative algorithms; Pixel; Transforms", } @Article{Sugihara:2009:EPP, author = "Takashi Sugihara and Kentaro Goto and Yoshiaki Konishi and Takashi Mizuochi", title = "Electronic Predistortion by Polar Coordinate Transformation Using the {CORDIC} Algorithm", journal = j-LIGHTWAVE-TECHNOL, volume = "27", number = "16", pages = "3607--3613", year = "2009", CODEN = "JLTEDG", DOI = "https://doi.org/10.1109/JLT.2009.2022847", ISSN = "0733-8724 (print), 1558-2213 (electronic)", ISSN-L = "0733-8724", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Lightwave Technology", keywords = "Optical fiber communication; Optical fiber dispersion; Optical filters; Optical interferometry; Optical modulation; optical modulation; Optical receivers; Optical signal processing; Optical transmitters; optical transmitters; Predistortion; signal processing; Signal processing algorithms", } @Article{Sultan:2009:CHH, author = "Alan Sultan", title = "{CORDIC}: How Hand Calculators Calculate", journal = j-COLLEGE-MATH-J, volume = "40", number = "2", pages = "87--92", month = mar, year = "2009", CODEN = "????", DOI = "https://doi.org/10.1080/07468342.2009.11922342", ISSN = "0746-8342 (print), 1931-1346 (electronic)", ISSN-L = "0746-8342", bibdate = "Thu Feb 14 09:54:27 MST 2019", bibsource = "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "http://www.tandfonline.com/doi/abs/10.1080/07468342.2009.11922342", acknowledgement = ack-nhfb, fjournal = "College Mathematics Journal", journal-URL = "https://maa.tandfonline.com/loi/ucmj20; https://www.jstor.org/journal/collmathj", onlinedate = "28 Nov 2017", } @InProceedings{Sun:2009:LCM, author = "Chi-Chia Sun and Philipp Donner and Jurgen Gotze", booktitle = "{2009 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Low-complexity multi-purpose {IP} Core for quantized Discrete Cosine and integer transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3014--3017", year = "2009", DOI = "https://doi.org/10.1109/ISCAS.2009.5118437", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; CORDIC; DCIT; DCT; Discrete cosine transforms; Discrete transforms; Field programmable gate arrays; FPGA; Information processing; integer transform; low power; QDCIT; QDCT; Quantization; reconfigurable architecture; Reconfigurable architectures; Sun; Video codecs; Video compression", } @InProceedings{Sun:2009:VCD, author = "Chi-Chia Sun and Jurgen Gotze", booktitle = "{2009 9th International Symposium on Communications and Information Technology}", title = "{VLSI} circuit design concept for parallel iterative algorithms in nanoscale", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "688--692", year = "2009", DOI = "https://doi.org/10.1109/ISCIT.2009.5341155", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Circuit synthesis; CORDIC; EVD; Integrated circuit interconnections; Iterative Algorithm; Iterative algorithms; Jacobian matrices; Manufacturing; MPSoC; Parallel Computing; SVD; Switches; Throughput; Timing; Very large scale integration; VLSI Design", } @InProceedings{Sung:2009:LPH, author = "Tze-Yun Sung and Lyu-Ting Ko and Hsi-Chin Hsin", booktitle = "{2009 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Low-power and {high-SFDR} direct digital frequency synthesizer based on hybrid {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "249--252", year = "2009", DOI = "https://doi.org/10.1109/ISCAS.2009.5117732", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Digital circuits; Dynamic range; Energy consumption; Field programmable gate arrays; Frequency synthesizers; Read only memory; System-on-a-chip; Very large scale integration", } @InProceedings{Teichmann:2009:SPA, author = "Philip Teichmann and Marius Vollmer and J{\"u}rgen Fischer and Benjamin Heyne and J{\"u}rgen G{\"o}tze and Doris Schmitt-Landsiedel", booktitle = "{Proceedings of the 2009 12th International Symposium on Integrated Circuits, 14--16 December 2009, Singapore}", title = "Saving potentials of Adiab. Logic on system level: a {CORDIC}-based adiabatic {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "105--108", year = "2009", ISBN = "981-08-2468-8", ISBN-13 = "978-981-08-2468-6", ISSN = "2325-0631", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5403965/", acknowledgement = ack-nhfb, keywords = "CMOS technology; Digital signal processing; Digital systems; Discrete cosine transforms; Energy consumption; Logic; Signal processing algorithms; System testing; Vehicles; Voltage", } @Article{Vachhani:2009:ECA, author = "Leena Vachhani and K. Sridharan and Pramod K. Meher", title = "Efficient {CORDIC} Algorithms and Architectures for Low Area and High Throughput Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "56", number = "1", pages = "61--65", year = "2009", DOI = "https://doi.org/10.1109/TCSII.2008.2010169", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Algorithm design and analysis; Barrel shifter; Circuits; Convergence; coordinate rotation digital computer (CORDIC); extended range; Field programmable gate arrays; Hardware; low area and high throughput implementation; Multiplexing; Phase estimation; Read only memory; Table lookup; Throughput", } @Article{Vachhani:2009:EFR, author = "Leena Vachhani and K. Sridharan and Pramod Kumar Meher", title = "Efficient {FPGA} Realization of {CORDIC} With Application to Robotic Exploration", journal = j-IEEE-TRANS-IND-ELECTRON, volume = "56", number = "12", pages = "4915--4929", year = "2009", CODEN = "ITIED6", DOI = "https://doi.org/10.1109/TIE.2009.2026225", ISSN = "0278-0046 (print), 1557-9948 (electronic)", ISSN-L = "0278-0046", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Industrial Electronics", keywords = "Algorithm design and analysis; Area-efficient algorithm; coordinate rotation digital computer (CORDIC); Field programmable gate arrays; field-programmable gate array (FPGA) implementation; Hospitals; Indoor environments; Intelligent robots; Mobile robots; Read only memory; Robot kinematics; robotic exploration; Robotics and automation; Service robots", } @InProceedings{Valters:2009:FIE, author = "Gatis Valters and Peteris Misans", booktitle = "{2009 NORCHIP}", title = "{FPGA} implementation of Elementary Generalized Unitary Rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2009", DOI = "https://doi.org/10.1109/NORCHP.2009.5397811", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithm; Discrete transforms; Discrete wavelet transforms; Field programmable gate arrays; Filtering; Filters; FPGA; Jacobian matrices; Logic devices; Signal processing; Stress; unitary Jacobi matrix; Unitary transforms; Wavelet transforms", } @InProceedings{Vazquez:2009:CDT, author = "{\'A}lvaro Vazquez and Julio Villalba and Elisardo Antelo", booktitle = "{2009 19th IEEE Symposium on Computer Arithmetic}", title = "Computation of Decimal Transcendental Functions Using the {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "179--186", year = "2009", DOI = "https://doi.org/10.1109/ARITH.2009.29", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Companies; Convergence; CORDIC; Costs; Decimal arithmetic; Digital arithmetic; Finite wordlength effects; Hardware; Iterative algorithms; Microprocessors; Proposals; Technological innovation; transcendental functions", } @InProceedings{Wang:2009:PDS, author = "Han Wang and Yousi Zheng and Xiaokang Lin", booktitle = "{2009 Seventh Annual Communication Networks and Services Research Conference}", title = "A Parallel Double-Step {CORDIC} Algorithm for Digital Down Converter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "257--261", year = "2009", DOI = "https://doi.org/10.1109/CNSR.2009.47", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Circuits; Communication networks; Computer networks; Concurrent computing; CORDIC; Delay; Digital arithmetic; digital down converter; double step; Frequency synthesizers; Iterative algorithms; parallel CORDIC; Throughput", } @Article{Wei:2009:NID, author = "Cui Wei and Wu Siliang", title = "A new implementation of dedicated circuit for {CORDIC} algorithm", journal = "Chinese Journal of Electronics", volume = "18", number = "1", pages = "69--73", year = "2009", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clock adjustment; Clocks; Conventional pipelined CORDIC circuit (CPCC); Coordinate rotation digital computer (CORDIC) algorithm; Delay balancing; Delays; Field programmable gate arrays; Pipeline latency; Pipelines; Radar tracking; Registers; Table lookup; Wave pipelined CORDIC circuit (WPCC)", } @MastersThesis{Wen:2009:DIC, author = "Jing Yuan Wen", title = "Design and implement of {CORDIC} based high performance {FFT}", type = "{Master's} thesis", school = "Nankai University", address = "Tianjin, People's Republic of China", year = "2009", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/design-implement-cordic-based-high-performance/docview/1869947130/se-2", acknowledgement = ack-nhfb, advisor = "Qing Yun Gao", keywords = "(UMI)AAI10457789; 0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "10457789", } @Article{Wu:2009:ISD, author = "Zhigang Wu and Jin Sha and Zhongfeng Wang and Li Li and Minglun Gao", title = "An improved scaled {DCT} architecture", journal = j-IEEE-TRANS-CONSUMER-ELECTRONICS, volume = "55", number = "2", pages = "685--689", year = "2009", CODEN = "ITCEDA", DOI = "https://doi.org/10.1109/TCE.2009.5174440", ISSN = "0098-3063 (print), 1558-4127 (electronic)", ISSN-L = "0098-3063", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Consumer Electronics", keywords = "Approximation algorithms; Approximation methods; Computer architecture; DCT, Scaled DCT, CORDIC algorithm.; Delay; Discrete cosine transforms; Hardware; Iterative algorithms; Karhunen-Loeve transforms; Quantization; Robustness", } @Article{Yang:2009:CAB, author = "Zhihuai Yang and Xiaojun Jin and Huilian Ma and Zhonghe Jin", title = "{CORDIC} algorithm based digital detection technique applied in resonator fiber optic gyroscope", journal = "Optical Fiber Technology", volume = "15", number = "3", pages = "328--331", year = "2009", DOI = "https://doi.org/10.1016/j.yofte.2009.02.004", ISSN = "1068-5200", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1068520009000194", acknowledgement = ack-nhfb, keywords = "Digitalization; Resonator fiber optic gyroscope; Synchronous demodulation; {CORDIC} algorithm", } @InProceedings{Yu:2009:DCD, author = "Jinshan Yu and Ruitao Zhang and YuJing Li and Dongbing Fu and RuZhang Li and Yafeng Yao and Tun Li", booktitle = "{2009 IEEE International Conference of Electron Devices and Solid-State Circuits (EDSSC)}", title = "Digital circuit design for a high-speed direct digital frequency synthesizer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "162--165", year = "2009", DOI = "https://doi.org/10.1109/EDSSC.2009.5394164", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amplitude modulation; Clocks; CMOS; CMOS technology; Computer architecture; CORDIC; DataPath; DDFS; Digital circuits; Digital modulation; Electronic equipment testing; Frequency synthesizers; Laboratories; Phase modulation", } @InProceedings{Abdulla:2010:HSR, author = "Shakeel S. Abdulla and Haewoon Nam and Earl E. Swartzlander and Jacob A. Abraham", booktitle = "{23rd IEEE International SOC Conference}", title = "High speed recursion-free {CORDIC} architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "65--70", year = "2010", DOI = "https://doi.org/10.1109/SOCC.2010.5784666", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Mobile communication", } @Misc{Akhter:2010:ITLa, author = "Nasrin Akhter and Kaniz Fatema and Lilatul Fersouse and Faria Khandaker", title = "Implementation of the Trigonometric {LMS} Algorithm Using Original {CORDIC} Rotation", pages = "12", year = "2010", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", abstract = "The LMS algorithm is one of the most successful adaptive filtering algorithms. It uses the instantaneous value of the square of the error signal as an estimate of the mean-square error (MSE). The LMS algorithm changes (adapts) the filter tap weights so that the error signal is minimized in the mean square sense. In Trigonometric LMS (TLMS) and Hyperbolic LMS (HLMS), two new versions of LMS algorithms, same formulations are performed as in the LMS algorithm with the exception that filter tap weights are now expressed using trigonometric and hyperbolic formulations, in cases for TLMS and HLMS respectively. Hence appears the CORDIC algorithm as it can efficiently perform trigonometric, hyperbolic, linear and logarithmic functions. While hardware-efficient algorithms often exist, the dominance of the software systems has kept those algorithms out of the spotlight. Among these hardware- efficient algorithms, CORDIC is an iterative solution for trigonometric and other transcendental functions. Former researches worked on CORDIC algorithm to observe the convergence behavior of Trigonometric LMS (TLMS) algorithm and obtained a satisfactory result in the context of convergence performance of TLMS algorithm. But previous researches directly used the CORDIC block output in their simulation ignoring the internal step-by-step rotations of the CORDIC processor. This gives rise to a need for verification of the convergence performance of the TLMS algorithm to investigate if it actually performs satisfactorily if implemented with step-by-step CORDIC rotation. This research work has done this job. It focuses on the internal operations of the CORDIC hardware, implements the Trigonometric LMS (TLMS) and Hyperbolic LMS (HLMS) algorithms using actual CORDIC rotations. The obtained simulation results are highly satisfactory and also it shows that convergence behavior of HLMS is much better than TLMS.", acknowledgement = ack-nhfb, } @Article{Akhter:2010:ITLb, author = "Nasrin Akhter and Kaniz Fatema and Lilatul Fersouse and Faria Khandaker", title = "Implementation of the Trigonometric {LMS} Algorithm Using Original {CORDIC} Rotation", journal = "International journal of Computer Networks \& Communications", volume = "2", number = "4", pages = "84--95", month = jul, year = "2010", DOI = "https://doi.org/10.5121/ijcnc.2010.2408", ISSN = "0974-9322 (print), 0975-2293 (electronic)", ISSN-L = "0974-9322", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://doi.org/10.5121/ijcnc.2010.2408", acknowledgement = ack-nhfb, } @Article{Aytore:2010:HAR, author = "Emrah Ayt{\"o}re and Ali Ziya Alkar", title = "Highly accurate reduced iteration {CORDIC} processor algorithm", journal = j-INT-J-ELECTRON, volume = "97", number = "2", pages = "163--176", month = feb, year = "2010", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207210903289359", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @InProceedings{Bhakthavatchalu:2010:CPP, author = "Ramesh Bhakthavatchalu and M. S. Sinith and Parvathi Nair and K. Jismi", booktitle = "{2010 5th International Conference on Industrial and Information Systems}", title = "A comparison of pipelined parallel and iterative {CORDIC} design on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "239--243", year = "2010", DOI = "https://doi.org/10.1109/ICIINFS.2010.5578702", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Clocks; Computer architecture; Field programmable gate arrays; Hardware; Iterative CORDIC; Mathematical model; Parallel CORDIC; Pipelined CORDIC; Signal processing algorithms; Vector rotation; Vector translation", } @InProceedings{Bhuria:2010:FIS, author = "Shoaib Bhuria and P. Muralidhar", booktitle = "{2010 International Conference on Power, Control and Embedded Systems}", title = "{FPGA} implementation of sine and cosine value generators using {CORDIC} Algorithm for Satellite Attitude Determination and calculators", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2010", DOI = "https://doi.org/10.1109/ICPCES.2010.5698645", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Calculators; Clocks; Cordic; Cosine; Field programmable gate arrays; FPGA; Position measurement; Satellite broadcasting; Satellites; Sine; Table lookup", } @InProceedings{Biswal:2010:IKA, author = "Pradyut Biswal and Swapna Banerjee", booktitle = "{2010 International Conference on Systems in Medicine and Biology}", title = "Implementation of Katsevich algorithm for helical cone-beam computed tomography using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "313--317", year = "2010", DOI = "https://doi.org/10.1109/ICSMB.2010.5735394", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computed tomography; Digital signal processing; Field programmable gate arrays; Geometry; Image reconstruction; Spirals", } @InProceedings{Chouba:2010:ASD, author = "Nabil Chouba and Laroussi Bouzaida", booktitle = "{5th International Conference on Design \& Technology of Integrated Systems in Nanoscale Era}", title = "A {BIST} architecture for sigma delta {ADC} testing based on embedded {NOEB} Self-Test and {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2010", DOI = "https://doi.org/10.1109/DTIS.2010.5487558", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Automatic testing; Built-in self-test; Costs; Delta-sigma modulation; Distortion; Filters; Signal generators; Signal processing algorithms; Signal resolution; System testing", } @InProceedings{El-Hariry:2010:MCM, author = "Yassmeen M. El-Hariry and Ahmed H. Madian", booktitle = "{2010 International Conference on Microelectronics}", title = "{MOS} current mode logic realization of digital arithmetic circuits", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "128--131", year = "2010", DOI = "https://doi.org/10.1109/ICM.2010.5696090", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Capacitors; Clocks; CMOS integrated circuits; CORDIC; Current mode logic; Delay; four-bit Multiplier; low power dissipation; Power dissipation; Transistors", } @MastersThesis{Fang:2010:DFP, author = "Zhao Fang", title = "The design of {FFT} processor based on {CORDIC} arithmetic", type = "{Master's} thesis", school = "Beijing Institute of Technology", address = "Beijing (People's Republic of China)", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/design-fft-processor-based-on-cordic-arithmetic/docview/1868432799/se-2", acknowledgement = ack-nhfb, advisor = "Ying Tao Ding", keywords = "(UMI)AAI10350426; 0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "10350426", } @InBook{Glascott-Jones:2010:OEU, author = "Andrew Glascott-Jones and Philippe Kuntz and Thierry Masson and P. A. Pinconcely and B. Diasparra and A. Tatat and Franck Berny and F. Salvi and M. Fadlallah and David Kerr-Munslow", booktitle = "Advanced Microsystems for Automotive Applications 2010", title = "Optimising Efficiency using Hardware Co-Processing for the {CORDIC} Algorithm", publisher = pub-SV, address = pub-SV:adr, pages = "325--335", year = "2010", DOI = "https://doi.org/10.1007/978-3-642-16362-3_31", ISBN = "3-642-16362-9", ISBN-13 = "978-3-642-16362-3", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Gutierrez:2010:FIB, author = "R. Gutierrez and V. Torres and J. Valls", title = "{FPGA}-implementation of {$ \arctan (Y / X) $} based on logarithmic transformation and {LUT}-based techniques", journal = j-J-SYST-ARCH, volume = "56", number = "11", pages = "588--596", year = "2010", CODEN = "JSARFB", DOI = "https://doi.org/10.1016/j.sysarc.2010.07.013", ISSN = "1383-7621 (print), 1873-6165 (electronic)", ISSN-L = "1383-7621", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Design Flows and System Architectures for Adaptive Computing on Reconfigurable Platforms", URL = "https://www.sciencedirect.com/science/article/pii/S1383762110000883", acknowledgement = ack-nhfb, fjournal = "Journal of Systems Architecture", journal-URL = "https://www.sciencedirect.com/journal/journal-of-systems-architecture", keywords = "(/); CORDIC; FPGA; Logarithm; Wireless communication", } @InProceedings{He:2010:AIL, author = "Yuheng He and Rainer Martin and Attila Michael Bilgic", booktitle = "{The 10th IEEE International Symposium on Signal Processing and Information Technology}", title = "Approximate iterative Least Squares algorithms for {GPS} positioning", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "231--236", year = "2010", DOI = "https://doi.org/10.1109/ISSPIT.2010.5711784", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "approximation methods; Coordinate Rotation Digital Computer (CORDIC); Differential GPS (DGPS); Global Positioning System (GPS); Least Squares (LS); Position measurement; QR Decomposition (QRD); Receivers", } @InProceedings{Hsiao:2010:IFP, author = "Shen-Fu Hsiao and Chia-Shen Wen and Hsin-Mau Lee", booktitle = "{2010 International Symposium on Next Generation Electronics}", title = "Implementation of floating-point {CORDIC} rotation and vectoring based on look up tables and multipliers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "44--47", year = "2010", DOI = "https://doi.org/10.1109/ISNE.2010.5669143", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adders; arithmetic; CMOS integrated circuits; CORDIC; floating-point operations; function approximation; Lead; look up table", } @InProceedings{Huang:2010:CIR, author = "Yen-Chang Huang and Pei-Ju Lin and Yu-Jung Huang and Ming-Dou Ker", booktitle = "{2010 Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics (PrimeAsia)}", title = "{CORDIC} implementation of {RSSI} localization method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "295--298", year = "2010", DOI = "https://doi.org/10.1109/PRIMEASIA.2010.5604902", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Awareness; CORDIC; Estimation; Location; Mathematical model; Propagation losses; Receivers; RSSI; Simulation; Wireless communication", } @InProceedings{Huang:2010:HIT, author = "Yen-Chang Huang and Chien-Chang Lai and Yu-Jung Huang", booktitle = "{2010 International Symposium on Next Generation Electronics}", title = "Hardware implementation of triangulation method based on {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "128--132", year = "2010", DOI = "https://doi.org/10.1109/ISNE.2010.5669183", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; CORDIC; Field programmable gate arrays; Hardware; Hardware design languages; Location Awareness; Location awareness; Logic; Radiofrequency identification; RFID; Signal processing algorithms; Simulation; The cosine law; Vectors", } @InProceedings{Huang:2010:RNS, author = "Pengda Huang and Yiming Pi", booktitle = "{2010 International Symposium on Intelligent Signal Processing and Communication Systems}", title = "Research on novel structure of {GPS} signal acquisition based on software receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2010", DOI = "https://doi.org/10.1109/ISPACS.2010.5704772", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational modeling; CORDIC; Frequency estimation; Global Positioning System; GPS Signal Acquisition; Receivers; Signal resolution; Signal to noise ratio; Split-radix FFT; Time frequency analysis", } @InProceedings{Ismail:2010:EHS, author = "Yasser Ismail and Magdy A. Bayoumi", booktitle = "{2010 IEEE Workshop On Signal Processing Systems}", title = "Efficient high speed {lattice-CORDIC} {IFFT} architecture for {DMT} transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "151--155", year = "2010", DOI = "https://doi.org/10.1109/SIPS.2010.5624779", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Digital signal processing; DMT; Generators; Hardware; lattice architecture; Lattices; Logic gates; Power demand", } @InProceedings{Ismail:2010:FDT, author = "Yasser Ismail and Jason McNeely and Mohsen Shaaban and Mayssaa {Al Najjar} and Magdy A. Bayoumi", booktitle = "{2010 IEEE International Conference on Image Processing}", title = "A fast discrete transform architecture for Frequency Domain Motion Estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1249--1252", year = "2010", DOI = "https://doi.org/10.1109/ICIP.2010.5652335", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; DCT; Discrete cosine transforms; FDME; Generators; Lattices; Logic gates; Shift registers", } @Article{Jaime:2010:ESF, author = "Francisco J. Jaime and Miguel A. S{\'a}nchez and Javier Hormigo and Julio Villalba and Emilio L. Zapata", title = "Enhanced Scaling-Free {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "57", number = "7", pages = "1654--1662", year = "2010", DOI = "https://doi.org/10.1109/TCSI.2009.2037391", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "99-01", MRnumber = "2814147", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Booth recoding; Computer architecture; Convergence; convergence range; Coordinate Rotation DIgital Computer (CORDIC); Delay; Digital signal processing; Energy consumption; Hardware; Iterative algorithms; Power generation economics; scaling-free; Signal processing algorithms; Testing; vector rotation", } @Article{Lakshmi:2010:CAS, author = "B. Lakshmi and A. S. Dhar", title = "{CORDIC} Architectures: a Survey", journal = "VLSI Design", volume = "2010", number = "1", pages = "1--19", year = "2010", DOI = "https://doi.org/10.1155/2010/794891", ISSN = "1065-514X, 1563-5171", MRclass = "68M07 (68W35 94A12)", MRnumber = "2609216", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1155/2010/794891", acknowledgement = ack-nhfb, ajournal = "VLSI Des.", articleno = "794891", eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1155/2010/794891", fjournal = "VLSI Design", } @PhdThesis{Lakshmi:2010:HSV, author = "B. Lakshmi", title = "High speed {VLSI} {CORDIC} architectures", type = "{Ph.D.} thesis", school = "Indian Institute of Technology", address = "Kharagpur, India", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/high-speed-vlsi-cordic-architectures/docview/885231323/se-2", acknowledgement = ack-nhfb, advisor = "A. S. Dhar", keywords = "0984:Computer science; Applied sciences; Computer science; Vector rotations; VLSI", ris-m1 = "0823637", } @InProceedings{Li:2010:CBA, author = "Xu Li and Wang Qin", booktitle = "{2010 IEEE 12th International Conference on Communication Technology}", title = "{CORDIC} based algorithm for frequency offset estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "817--820", year = "2010", DOI = "https://doi.org/10.1109/ICCT.2010.5688688", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; CORDIC algorithm; Estimation; Field programmable gate arrays; FPGA; Frequency estimation; Frequency offset estimation; MVM-CORDIC; Table lookup", } @InProceedings{Li:2010:MCA, author = "Huan Li and Yan Xin", booktitle = "{2010 Third International Conference on Intelligent Networks and Intelligent Systems}", title = "Modified {CORDIC} Algorithm and Its Implementation Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "618--621", year = "2010", DOI = "https://doi.org/10.1109/ICINIS.2010.30", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; CORDIC; Field programmable gate arrays; FPGA; Hardware; Hardware design languages; modified algorithm; Signal processing algorithms; Simulation; stream-lined construction", } @InProceedings{Liang:2010:DIB, author = "Lu Liang and Zhang Chun and Wang Jing Chao", booktitle = "{2010 IEEE Asia Pacific Conference on Circuits and Systems}", title = "A digital {IF} based {UHF} {RFID} reader transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "963--966", year = "2010", DOI = "https://doi.org/10.1109/APCCAS.2010.5775036", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amplitude modulation; CORDIC; Digital IF; Finite impulse response filter; Power harmonic filters; Radiofrequency identification; RFID; SFDR; Time frequency analysis; Transmitter", } @InProceedings{Lin:2010:ICL, author = "Pei-Ju Lin and Yeng-Chang Huang and Yu-Jung Huang and Ming-Dou Ker", booktitle = "{2010 Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics (PrimeAsia)}", title = "Implementation of the cosine law for location awareness system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "255--258", year = "2010", DOI = "https://doi.org/10.1109/PRIMEASIA.2010.5604912", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antenna radiation patterns; Computers; CORDIC; Field programmable gate arrays; Hardware; Location Awareness; Mobile radio mobility management; Radiofrequency identification; RFID; Signal processing algorithms; The cosine law", } @InProceedings{Liu:2010:DDF, author = "Pei-Lin Liu and Yi-Ding Huang and Yue Huang and Shu-Qin Wan", booktitle = "{2010 10th IEEE International Conference on Solid-State and Integrated Circuit Technology}", title = "A {300MHz} direct digital frequency synthesizer based on improved redundant prediction {CORDIC} in 0.35um {CMOS}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "351--353", year = "2010", DOI = "https://doi.org/10.1109/ICSICT.2010.5667721", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CMOS integrated circuits; CMOS technology; Converters; Frequency synthesizers; Read only memory; Silicon", } @MastersThesis{Liu:2010:DII, author = "Bo Liu", title = "Design and implementation of {IP} core generator of {CORDIC}", type = "{Master's} thesis", school = "Wuhan University of Technology", address = "Wuhan, People's Republic of China", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/design-implementation-ip-core-generator-cordic/docview/1868720935/se-2", acknowledgement = ack-nhfb, advisor = "Qiu Yuan Huang", keywords = "(UMI)AAI10377315; 0489:Information Technology; Applied sciences; Information technology", ris-m1 = "10377315", } @InProceedings{Lofgren:2010:BSC, author = "Johan L{\"o}fgren and Peter Nilsson", booktitle = "{2010 53rd IEEE International Midwest Symposium on Circuits and Systems}", title = "Bit-serial {CORDIC}: Architecture and implementation improvements", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "65--68", year = "2010", DOI = "https://doi.org/10.1109/MWSCAS.2010.5548562", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits; Computer architecture; Field programmable gate arrays; Hardware; Helium; Information technology; Logic; Registers; Threshold voltage; Throughput", } @InProceedings{Mandal:2010:ICR, author = "Amritakar Mandal and Brajesh Kumar Kaushik and K. C. Tyagi and R. P. Agarwal and Anuj Kumar", booktitle = "{2010 3rd International Conference on Emerging Trends in Engineering and Technology}", title = "Implementation of Coordinate Rotation Algorithm for Digital Phase Locked Loop System in In-Phase and Quadrature Channel Signal Processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "721--725", year = "2010", DOI = "https://doi.org/10.1109/ICETET.2010.164", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Demodulation; Digital Signal Processing; DPLL; Equations; Loop performance; Low pass filters; Mathematical model; Micro-rotation; Pipelined Architecture; Signal processing algorithms", } @InProceedings{Mandal:2010:VAD, author = "Amritakar Mandal and K. C. Tyagi and Brajesh Kumar Kaushik", booktitle = "{2010 International Conference on Advances in Recent Technologies in Communication and Computing}", title = "{VLSI} Architecture Design and Implementation for Application Specific {CORDIC} Processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "191--193", year = "2010", DOI = "https://doi.org/10.1109/ARTCom.2010.94", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Computers; CORDIC; Digital signal processing; Digital Signal Processing; micro-rotation; Pipelined Architecture; Quantization; Quantization error; Signal processing algorithms; Very large scale integration", } @InProceedings{Mar:2010:SSB, author = "Jeich Mar and Chi-Cheng Kuo and Shih-Hao Chou", booktitle = "{2010 IEEE Asia Pacific Conference on Circuits and Systems}", title = "{SDR} structure based {CFO} estimation and compensation circuit for {OFDM} systems using reconfigurable {CORDIC} {FPGA} modules", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "352--355", year = "2010", DOI = "https://doi.org/10.1109/APCCAS.2010.5774823", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Estimation; Field programmable gate arrays; Frequency estimation; Hardware; OFDM; Training", } @Book{Muller:2010:HFP, author = "Jean-Michel Muller and Nicolas Brisebarre and Florent de Dinechin and Claude-Pierre Jeannerod and Vincent Lef{\`e}vre and Guillaume Melquiond and Nathalie Revol and Damien Stehl{\'e} and Serge Torres", title = "Handbook of Floating-Point Arithmetic", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "xxiii + 572", year = "2010", DOI = "https://doi.org/10.1007/978-0-8176-4705-6", ISBN = "0-8176-4704-X (hardcover), 0-8176-4705-8 (e-book)", ISBN-13 = "978-0-8176-4704-9 (hardcover), 978-0-8176-4705-6 (e-book)", LCCN = "QA76.9.C62 H36 2010", MRnumber = "MR2568265", bibdate = "Thu Jan 27 16:18:58 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", price = "US\$90 (est.)", acknowledgement = ack-nhfb, tableofcontents = "Preface \\ List of Figures \\ List of Tables \\ I Introduction, Basic Definitions, and Standards \\ 1 Introduction \\ 2 Definitions and Basic Notions \\ 3 Floating-Point Formats and Environment \\ II Cleverly Using Floating-Point Arithmetic \\ 4 Basic Properties and Algorithms \\ 5 The Fused Multiply-Add Instruction \\ 6 Enhanced Floating-Point Sums, Dot Products, and Polynomial Values \\ 7 Languages and Compilers \\ III Implementing Floating-Point Operators \\ 8 Algorithms for the Five Basic Operations \\ 9 Hardware Implementation of Floating-Point Arithmetic \\ 10 Software Implementation of Floating-Point Arithmetic", } @InProceedings{Munoz:2010:FBF, author = "Daniel M. Mu{\~n}oz and Diego F. Sanchez and Carlos H. Llanos and Mauricio Ayala-Rinc{\'o}n", booktitle = "{2010 VI Southern Programmable Logic Conference (SPL)}", title = "{FPGA} based floating-point library for {CORDIC} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "55--60", year = "2010", DOI = "https://doi.org/10.1109/SPL.2010.5483002", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; Computer architecture; Concurrent computing; Costs; Dynamic range; Error analysis; Field programmable gate arrays; Hardware; Libraries; Signal processing algorithms", } @InProceedings{Prasad:2010:FID, author = "M. V. N. V. Prasad and K. C. Ray and A. S. Dhar", booktitle = "{2010 International Conference on Signal Processing and Communications (SPCOM)}", title = "{FPGA} implementation of discrete fractional {Fourier} transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2010", DOI = "https://doi.org/10.1109/SPCOM.2010.5560491", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; CORDIC; Discrete Fractional Fourier Transform; Fourier transforms; FPGA and Hardware Architecture; Hardware; Radiation detectors; Read only memory; Registers", } @MastersThesis{Prasad:2010:SBB, author = "Durga Prasad Prasad", title = "{SIMD} based baseband processor for {CORDIC} algorithms", type = "{M.S.} thesis", school = "The University of Texas at Dallas", address = "Dallas, TX, USA", pages = "114", year = "2010", ISBN = "1-124-08517-3", ISBN-13 = "978-1-124-08517-3", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/simd-based-baseband-processor-cordic-algorithms/docview/734200378/se-2", acknowledgement = ack-nhfb, advisor = "Poras T. Balsara", keywords = "0464:Computer Engineering; 0544:Electrical engineering; Applied sciences; Computer engineering; Electrical engineering", ris-m1 = "1485103", } @InProceedings{Qi:2010:CIP, author = "Zhenyu Qi and Adam C. Cabe and Robert T. Jones and Mircea R. Stan", booktitle = "{Proceedings of the IEEE SoutheastCon 2010 (SoutheastCon)}", title = "{CORDIC} implementation with parameterizable {ASIC\slash SoC} flow", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "13--16", year = "2010", DOI = "https://doi.org/10.1109/SECON.2010.5453930", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Chirp; Clocks; Computer architecture; Discrete cosine transforms; Discrete Fourier transforms; Fast Fourier transforms; Fourier transforms; Hardware; Signal processing algorithms", } @InProceedings{Ray:2010:CBV, author = "Kailash Chandra Ray and Rohit Shukla and Anindya Sundar Dhar", booktitle = "{2010 Second International conference on Computing, Communication and Networking Technologies}", title = "{CORDIC}-based {VLSI} architecture for implementing Log Polar Transformation for real time applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2010", DOI = "https://doi.org/10.1109/ICCCNT.2010.5591772", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Architecture; Computer architecture; Equations; Hardware; Image registration; Real time systems", } @InProceedings{Reddy:2010:VIA, author = "P. Sudhakar Reddy and G. Ramachandra Reddy", booktitle = "{2010 Second International Conference on Communication Software and Networks}", title = "{VLSI} Implementation of Autocorrelator and {CORDIC} Algorithm for {OFDM} Based {WLAN}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "525--531", year = "2010", DOI = "https://doi.org/10.1109/ICCSN.2010.41", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application specific integrated circuits; Autocorrelation; Autocorrelator; Channel estimation; CORDIC; Design methodology; Frequency conversion; Frequency estimation; OFDM; Very large scale integration; VLSI; Wireless LAN; WLAN", } @Article{Rodrigues:2010:ACU, author = "Terence K. Rodrigues and Earl E. {Swartzlander, Jr.}", title = "Adaptive {CORDIC}: Using Parallel Angle Recoding to Accelerate Rotations", journal = j-IEEE-TRANS-COMPUT, volume = "59", number = "4", pages = "522--531", month = apr, year = "2010", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2009.190", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "99-03", MRnumber = "2751818", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1367.65243", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "65Y04,65Y05; Adders; angle rotation; CORDIC algorithm; cosine computation.; Data mining; Equations; Hardware; Heuristic algorithms; Mathematical model; Read only memory; sine computation", ZBmath = "6753334", } @InProceedings{Rongi:2010:CSP, author = "M. A. Rongi and A. Saparon and N. H. Marzuki", booktitle = "{2010 International Conference on Electronic Devices, Systems and Applications}", title = "A {CORDIC-Sinusoidal} Pulse Width Modulation using Silterra 0.18 $ \mu $ m {CMOS} technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "76--81", year = "2010", DOI = "https://doi.org/10.1109/ICEDSA.2010.5503098", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CMOS technology; Coordinate Rotation Digital Computer (CORDIC); Design optimization; Home appliances; Insulated Gate Bipolar Transistor (IGBT); Insulated gate bipolar transistors; Power electronics; Pulse generation; Pulse width modulation; Sinusoidal Pulse Width Modulation (SPWM); Space vector pulse width modulation; Switches; Synopsys", } @InProceedings{Rongi:2010:SPW, author = "M. A. Rongi and A. Saparon and M. K. Hamzah", booktitle = "{2010 5th IEEE Conference on Industrial Electronics and Applications}", title = "Sinusoidal Pulse Width Modulation using {CORDIC} algorithm for Single Phase Matrix Converter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1088--1093", year = "2010", DOI = "https://doi.org/10.1109/ICIEA.2010.5515822", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application software; CORDIC; Field programmable gate arrays; FPGA; Hardware; Iterative algorithms; Matrix converters; Phase modulation; Pulse width modulation; Pulse width modulation converters; Signal processing algorithms; SPMC; SPWM; Table lookup", } @InBook{Schaumont:2010:CC, author = "Patrick R. Schaumont", booktitle = "A Practical Introduction to {Hardware/Software} Codesign", title = "{CORDIC} Coprocessor", publisher = "Springer US", pages = "369--388", year = "2010", DOI = "https://doi.org/10.1007/978-1-4419-6000-9_12", ISBN = "1-4419-6000-7", ISBN-13 = "978-1-4419-6000-9", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Senthilvelan:2010:CBL, author = "Murugappan Senthilvelan and Javier Hormigo and Joon Hwa Chun and Mihai Sima and Daniel Iancu and Michael Schulte and John Glossner", booktitle = "{2010 International Conference on Embedded Computer Systems: Architectures, Modeling and Simulation}", title = "{CORDIC}-based {LMMSE} equalizer for Software Defined Radio", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "301--308", year = "2010", DOI = "https://doi.org/10.1109/ICSAMOS.2010.5642051", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Digital signal processing; Equalizers; Equations; Finite impulse response filter; Givens rotation; ISA extensions; LMMSE equalization; Matrix decomposition; Multiaccess communication; QR decomposition; Registers; SDR", } @PhdThesis{Senthilvelan:2010:CIS, author = "Murugappan Senthilvelan", title = "{CORDIC} instructions for software defined radio", type = "{Ph.D.} thesis", school = "The University of Wisconsin --- Madison", address = "Madison, WI, USA", pages = "224", year = "2010", ISBN = "1-124-36881-7", ISBN-13 = "978-1-124-36881-8", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/cordic-instructions-software-defined-radio/docview/820660550/se-2", acknowledgement = ack-nhfb, advisor = "Michael J. Schulte", keywords = "0544:Electrical engineering; Applied sciences; Channel decomposition; Electrical engineering; Low-density parity-check codes; Software-defined radio", ris-m1 = "3437392", } @InProceedings{Sun:2010:CIC, author = "Chi-Chia Sun and Ce Zhang and Juergen Goetze", booktitle = "{2010 IEEE Asia Pacific Conference on Circuits and Systems}", title = "A configurable {IP} core for inverse quantized discrete cosine and integer transforms with arbitrary accuracy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "915--918", year = "2010", DOI = "https://doi.org/10.1109/APCCAS.2010.5774865", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit rate; Computer architecture; CORDIC; DCT; Discrete cosine transforms; FPGA; H.264; ICT; IP networks; MPEG-4; PSNR; Quantization; Reconfigurable; Transform coding", } @InProceedings{Szecowka:2010:CSI, author = "Przemys{\l}aw M. Szec{\'o}wka and Piotr Malinowski", booktitle = "{Proceedings of the 17th International Conference Mixed Design of Integrated Circuits and Systems --- MIXDES 2010, 24--26 June 2010, Wroc{\l}aw, Poland}", title = "{CORDIC} and {SVD} implementation in digital hardware", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "237--242", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5551655/", acknowledgement = ack-nhfb, keywords = "Clocks; CORDIC; Delay; digital; FPGA; hardware; Hardware; Matrix decomposition; Radiation detectors; Registers; Singular value decomposition; SVD; VHDL", } @InProceedings{Viteri:2010:DCF, author = "Alejandro Viteri and Amir Zjajo and Thijmen Hamoen and Nick van der Meijs", booktitle = "{2010 17th IEEE International Conference on Electronics, Circuits and Systems}", title = "Digital {Cartesian} feedback linearization of switched mode power amplifiers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "890--893", year = "2010", DOI = "https://doi.org/10.1109/ICECS.2010.5724655", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bismuth; Cartesian feedback; Clocks; CORDIC; Delay; linearization; Neodymium; phase alignment; Phase distortion; Switched-mode power supply", } @InProceedings{Wang:2010:HEA, author = "Tao Wang and Ping Wei", booktitle = "{2010 2nd International Conference on Computer Engineering and Technology}", title = "Hardware efficient architectures of improved {Jacobi} method to solve the eigenproblem", volume = "6", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "V6--22--V6--25", year = "2010", DOI = "https://doi.org/10.1109/ICCET.2010.5486271", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Concurrent computing; CORDIC; Design optimization; Eigenvalues and eigenfunctions; EVD; Field programmable gate arrays; FPGA; Hardware; Image analysis; Jacobi; Jacobian matrices; Principal component analysis; Symmetric matrices", } @InProceedings{Wang:2010:ISA, author = "Qing Wang and Ziming Zhong and Xiang Lin", booktitle = "{2010 3rd International Conference on Computer Science and Information Technology}", title = "An improved {SCS} algorithm based on {LINC} transmitter", volume = "9", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "789--792", year = "2010", DOI = "https://doi.org/10.1109/ICCSIT.2010.5563687", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "amplitude and phase separation; Approximation algorithms; constant envelop; CORDIC algorithm; envelop mutations; Field programmable gate arrays; Peak to average power ratio; Power amplifiers; Radio frequency; signal component separation; Table lookup; Transmitters", } @InProceedings{Wang:2010:MEF, author = "Hongzhi Wang and Yves Lou{\"e}t and Jacques Palicot and Laurent Alaus and Dominique Noguet", booktitle = "{2010 2nd International Workshop on Cognitive Information Processing}", title = "Memory-efficient {FFT} architecture using {R-LFSR} based {CORDIC} common operator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "162--167", year = "2010", DOI = "https://doi.org/10.1109/CIP.2010.5604220", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Common Operator; CORDIC; FFT; Field programmable gate arrays; LFSR; Radio frequency; Software Defined Radio", } @InProceedings{Wawryn:2010:IFI, author = "Krzysztof Wawryn and Robert T. Wirski and Bogdan Strzeszewski", booktitle = "{2010 International Symposium On Information Theory \& Its Applications}", title = "Implementation of finite impulse response systems using rotation structures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "606--610", year = "2010", DOI = "https://doi.org/10.1109/ISITA.2010.5649712", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Delay; Eigenvalues and eigenfunctions; Equations; Field programmable gate arrays; Finite impulse response filter; FIR; Gaussian filter; Mathematical model; Matrix decomposition; orthogonal system; state-space equations; two-dimensional systems", } @InProceedings{Wu:2010:NCA, author = "Peng Wu and Chun He and Zhu-lin Zong", booktitle = "{International Conference on Computational Problem-Solving, 03--05 December 2010, Li Jiang, China}", title = "A novel correlation architecture of acquisition for {GNSS} satellite navigation system receiver based on {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "115--121", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/5696045/", acknowledgement = ack-nhfb, keywords = "acquisition; Artificial neural networks; CORDIC; Correlation; Equations; FFT; Global Navigation Satellite Systems; GNSS receiver; Hardware; Mathematical model; Receivers", } @InProceedings{Xiao:2010:RMA, author = "Xin Xiao and Erdal Oruklu and Jafar Saniie", booktitle = "{Proceedings of 2010 IEEE International Symposium on Circuits and Systems}", title = "Reduced memory architecture for {CORDIC}-based {FFT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2690--2693", year = "2010", DOI = "https://doi.org/10.1109/ISCAS.2010.5537045", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Field programmable gate arrays; Hardware; Logic; Memory architecture; Pipelines; Read only memory; Signal processing algorithms; Synthetic aperture radar; Very large scale integration", } @InProceedings{Ye:2010:FIC, author = "Min Ye and Taijun Liu and Yan Ye and Gaoming Xu and Tiefeng Xu", booktitle = "{2010 6th International Conference on Wireless Communications Networking and Mobile Computing (WiCOM)}", title = "{FPGA} Implementation of {CORDIC}-based Square Root Operation for Parameter Extraction of Digital Pre-Distortion for Power Amplifiers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2010", DOI = "https://doi.org/10.1109/WICOM.2010.5600929", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arrays; Field programmable gate arrays; Hardware; Parameter extraction; Power amplifiers; Software; Software algorithms", } @InProceedings{Yong:2010:RIL, author = "Jiao Yong and Wang Lu-ya and Chen Yue-yue", booktitle = "{2010 International Conference on Audio, Language and Image Processing}", title = "The research and implementation of line anti-aliasing algorithm based on coordinate system rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--184", month = nov, year = "2010", DOI = "https://doi.org/10.1109/icalip.2010.5684982", bibdate = "Wed Nov 12 08:12:05 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @MastersThesis{Yuan:2010:RDB, author = "Lei Yuan", title = "The realization of {DDS} based on {CORDIC} algorithm", type = "{Master's} thesis", school = "Beijing Institute of Technology", address = "Beijing (People's Republic of China)", year = "2010", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/realization-dds-based-on-cordic-algorithm/docview/1868432812/se-2", acknowledgement = ack-nhfb, advisor = "Xiu Jie Qu", keywords = "(UMI)AAI10350272; 0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "10350272", } @InProceedings{Zhu:2010:IFI, author = "Xiaoping Zhu and Yaowu Chen", booktitle = "{The 2010 International Conference on Apperceiving Computing and Intelligence Analysis Proceeding}", title = "Improved {FPGA} implementation of Probabilistic Neural Network for neural decoding", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "198--202", year = "2010", DOI = "https://doi.org/10.1109/ICACIA.2010.5709882", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial neural networks; Biological neural networks; CORDIC; Field programmable gate arrays; FPGA; Mixed data size; Probabilistic logic; Probabilistic Neural Network; Resource management; Table lookup; Training", } @Article{Acharyya:2011:CRB, author = "Amit Acharyya and Koushik Maharatna and Bashir M. Al-Hashimi and Jeff Reeve", title = "Coordinate Rotation Based Low Complexity {N-D FastICA} Algorithm and Architecture", journal = j-IEEE-TRANS-SIG-PROC, volume = "59", number = "8", pages = "3997--4011", year = "2011", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2011.2150219", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Algorithm design and analysis; Blind source separation; Complexity theory; Computer architecture; CORDIC; Estimation; FastICA; Hardware; independent component analysis; low complexity algorithm and architecture; Signal processing algorithms; Three dimensional displays", } @InProceedings{Bhakthavatchalu:2011:CRF, author = "Ramesh Bhakthavatchalu and Nisha Abdul Kareem and J. Arya", booktitle = "{2011 IEEE Recent Advances in Intelligent Computational Systems}", title = "Comparison of reconfigurable {FFT} processor implementation using {CORDIC} and multipliers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "343--347", year = "2011", DOI = "https://doi.org/10.1109/RAICS.2011.6069331", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; digital signal processor (DSP); Discrete Fourier transforms; Equations; Fast Fourier transform (FFT); Fast Fourier transforms; FPGA; Integrated circuit modeling; Signal processing algorithms", } @InProceedings{Bhakthavatchalu:2011:LPD, author = "Ramesh Bhakthavatchalu and Parvathi Nair", booktitle = "{2011 3rd International Conference on Electronics Computer Technology}", title = "Low power design techniques applied to pipelined parallel and iterative {CORDIC} design", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "336--340", year = "2011", DOI = "https://doi.org/10.1109/ICECTECH.2011.5942015", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Clock Gating; Clocks; Computer architecture; Hardware; Iterative CORDIC; Mathematical model; Parallel CORDIC; Pipelined CORDIC; Registers; Signal processing algorithms; Vector rotation", } @Article{Bi:2011:DDF, author = "Zhuo Bi and Yijun Dai", title = "Datapath Design and Full Custom Implementation of Radix-2 {CORDIC} Processor", journal = "Procedia Engineering", volume = "15", pages = "3848--3853", year = "2011", DOI = "https://doi.org/10.1016/j.proeng.2011.08.720", ISSN = "1877-7058", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "CEIS 2011", URL = "https://www.sciencedirect.com/science/article/pii/S1877705811022211", acknowledgement = ack-nhfb, keywords = "CORDIC; full custom; pipeline", } @InProceedings{Cao:2011:RLD, author = "Yi-Jiang Cao and Yang Wang and Tze-Yun Sung", booktitle = "{Proceedings of 2011 6th International Forum on Strategic Technology}", title = "A {ROM-less} direct digital frequency synthesizer based on a scaling-free {CORDIC} algorithm", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1186--1189", year = "2011", DOI = "https://doi.org/10.1109/IFOST.2011.6021232", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Arrays; Clocks; DDFS; Field programmable gate arrays; FPGA; Generators; Hardware; Hardware design languages; scaling-free CORDIC algorithm; SFDR", } @Misc{Chadha:2011:DSBa, author = "Aman Chadha and Divya Jyoti and M. G. Bhatia", title = "Design and Simulation of an 8-bit Dedicated Processor for calculating the Sine and Cosine of an Angle using the {CORDIC} Algorithm", year = "2011", DOI = "https://doi.org/10.48550/arXiv.1111.1086", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1111.1086", abstract = "This paper describes the design and simulation of an 8-bit dedicated processor for calculating the Sine and Cosine of an Angle using CORDIC Algorithm (COordinate Rotation DIgital Computer), a simple and efficient algorithm to calculate hyperbolic and trigonometric functions. We have proposed a dedicated processor system, modeled by writing appropriate programs in VHDL, for calculating the Sine and Cosine of an angle. System simulation was carried out using ModelSim 6.3f and Xilinx ISE Design Suite 12.3. A maximum frequency of 81.353 MHz was reached with a minimum period of 12.292 ns. 126 (3\%) slices were used. This paper attempts to survey the existing CORDIC algorithm with an eye towards implementation in Field Programmable Gate Arrays (FPGAs). A brief description of the theory behind the algorithm and the derivation of the Sine and Cosine of an angle using the CORDIC algorithm has been presented. The system can be implemented using Spartan3 XC3S400 with Xilinx ISE 12.3 and VHDL.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "1111.1086", primaryclass = "cs.AR", } @InProceedings{Chadha:2011:DSBb, author = "Aman Chadha and Divya Jyoti and M. G. Bhatia", editor = "????", booktitle = "Proceedings of the {2011 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC)}", title = "Design and Simulation of an 8-bit Dedicated Processor for calculating the Sine and Cosine of an Angle using the {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "??--??", year = "2011", DOI = "", ISBN = "1-61284-694-7, 1-61284-766-8", ISBN-13 = "978-1-61284-694-1, 978-1-61284-766-5", LCCN = "", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "", acknowledgement = ack-nhfb, remark = "Not found in IEEE Xplore database, but preprint PDF \cite{Chadha:2011:DSBa} records the proceedings name and ISBN values on its title page.", } @InProceedings{Chandrakanth:2011:LLH, author = "Y. Chandrakanth and M. Praveen Kumar", booktitle = "{2011 International Conference on Signal Processing, Communication, Computing and Networking Technologies}", title = "Low latency \& high precision {CORDIC} architecture using improved parallel angle recoding", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "498--501", year = "2011", DOI = "https://doi.org/10.1109/ICSCCN.2011.6024602", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Angle Selection; Application specific integrated circuits; Basic CORDIC; Clocks; Computers; Control CORDIC; CORDIC; Low latency; Read only memory", } @InProceedings{Chen:2011:FPC, author = "Dongdong Chen and Mihai Sima", booktitle = "{2011 International Conference on Reconfigurable Computing and FPGAs}", title = "Fixed-Point {CORDIC}-based {$ Q R $} Decomposition by {Givens} Rotations on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "327--332", year = "2011", DOI = "https://doi.org/10.1109/ReConFig.2011.38", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Arrays; Field programmable gate arrays; Hardware; Matrix decomposition; Vectors", } @InProceedings{Choudhary:2011:CBI, author = "Pooja Choudhary and Abhijit Karmakar", booktitle = "{2011 2nd International Conference on Computer and Communication Technology (ICCCT-2011)}", title = "{CORDIC} based implementation of {Fast Fourier Transform}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "550--555", year = "2011", DOI = "https://doi.org/10.1109/ICCCT.2011.6075128", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Butterfly; Computers; CORDIC; DFT; Discrete Fourier transforms; Equations; Fast Fourier transforms; FFT; Read only memory; ROM; Simulation; Twiddle factor", } @Article{Dai:2011:CAB, author = "Yi-jun Dai and Zhuo Bi", title = "{CORDIC} algorithm based on {FPGA}", journal = "Journal of Shanghai University (English Edition)", volume = "15", number = "4", pages = "304--309", month = aug, year = "2011", DOI = "https://doi.org/10.1007/s11741-011-0741-3", ISSN = "1863-236X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Gautam:2011:HED, author = "Vinay Gautam and Kailash Chandra Ray and Pauline Haddow", booktitle = "{14th IEEE International Symposium on Design and Diagnostics of Electronic Circuits and Systems}", title = "Hardware efficient design of Variable Length {FFT} Processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "309--312", year = "2011", DOI = "https://doi.org/10.1109/DDECS.2011.5783102", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Dynamic Address Generator; FFT; Field programmable gate arrays; Generators; Hardware; Memory management; OFDM; Pipelined CORDIC; Radiation detectors; Throughput", } @InProceedings{Gebali:2011:FPA, author = "Fayez Gebali", booktitle = "{Proceedings of the 2011 IEEE National Aerospace and Electronics Conference (NAECON)}", title = "Floating-point adaptive {CORDIC} ({FPA-CORDIC}) algorithm for elementary function calculation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "46--50", year = "2011", DOI = "https://doi.org/10.1109/NAECON.2011.6183075", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive algorithms; Computers; Convergence; CORDIC; DSP applications; Educational institutions; Elementary function calculation; Equations; Mathematical model; Merged scaling; Noise; Scientific calculations; Vectors", } @InProceedings{Gong:2011:FIC, author = "Ren-Xi Gong and Jiong-Quan Wei and Dan Sun and Ling-Ling Xie and Peng-Fei Shu and Xiao-Bi Meng", booktitle = "{2011 Seventh International Conference on Natural Computation}", title = "{FPGA} implementation of a {CORDIC}-based radix-4 {FFT} processor for real-time harmonic analyzer", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1832--1835", year = "2011", DOI = "https://doi.org/10.1109/ICNC.2011.6022441", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; FFT; Field programmable gate arrays; FPGA; Harmonic analysis; Power system harmonics; Radix-4; Real time systems; Signal processing algorithms", } @InProceedings{Gonzalez-Espin:2011:ECA, author = "Fran Gonz{\'a}lez-Esp{\'\i}n and Emilio Figueres and Gabriel Garcer{\'a} and Iv{\'a}n Patrao", booktitle = "{2011 IEEE International Symposium on Industrial Electronics}", title = "An efficient {CORDIC} arithmetic unit for 3-phase voltage grid synchronization", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "125--130", year = "2011", DOI = "https://doi.org/10.1109/ISIE.2011.5984144", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Calculus; Harmonic analysis; Low pass filters; Power harmonic filters; Synchronization; Topology", } @InProceedings{Gopikiran:2011:FIF, author = "G. Gopikiran and R. Thilagavathy", booktitle = "{2011 International Conference on Signal Processing, Communication, Computing and Networking Technologies}", title = "{FPGA} implementation of floating-point rotation mode {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "506--508", year = "2011", DOI = "https://doi.org/10.1109/ICSCCN.2011.6024604", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CORDIC; Digital signal processing; Equations; Field programmable gate arrays; Floating point; FPGA; Hardware; Signal processing algorithms; Transmission line matrix methods", } @InProceedings{Guan:2011:HIW, author = "Xin Guan and Henry Zmuda and Jian Li and Lin Du and Mark Sheplak", booktitle = "{2011 IEEE International Symposium on Antennas and Propagation (APSURSI)}", title = "Hardware implementation of wideband time domain Robust Capon Beamforming", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2849--2852", year = "2011", DOI = "https://doi.org/10.1109/APS.2011.5997120", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Array signal processing; Arrays; CORDIC; Eigenvalue Decomposition; Field programmable gate arrays; FPGA; Hardware; Robust Capon Beamforming; Robustness; Signal processing algorithms", } @InProceedings{Guo:2011:ARV, author = "Zi-wei Guo and Ling-juan Miao and Jun Shen", booktitle = "2011 International Conference on Electronics, Communications and Control {(ICECC)}", title = "The analysis on rotation vector algorithm of atypical conic motion in pseudo orthogonal coordinate", publisher = "IEEE", pages = "514--518", month = sep, year = "2011", DOI = "https://doi.org/10.1109/icecc.2011.6067571", bibdate = "Wed Nov 12 08:10:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @InProceedings{Hatai:2011:AIP, author = "Indranil Hatai and Rakesh Biswas and Swapna Banerjee", booktitle = "{IEEE Technology Students' Symposium}", title = "{ASIC} implementation of a 512-point {FFT\slash IFFT} processor for {2D} {CT} image reconstruction algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "220--225", year = "2011", DOI = "https://doi.org/10.1109/TECHSYM.2011.5783849", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Convolution; Coordinate Rotation Digital Computer (CORDIC); CT images; Discrete Fourier transforms; FFT/IFFT; Instruction sets; Modified Fast Radon Transform (MFRT); Random access memory", } @InProceedings{Hsiao:2011:DAR, author = "Shen-Fu Hsiao and Cheng-Han Lee and Yen-Chun Cheng and Andrew Lee", booktitle = "{2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)}", title = "Designs of angle-rotation in digital frequency synthesizer\slash mixer using multi-stage architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2181--2185", year = "2011", DOI = "https://doi.org/10.1109/ACSSC.2011.6190418", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adders; angle rotation; Approximation methods; CORDIC; digital frequency mixer; direct digital frequency synthesizer; Frequency synthesizers; quadrature modulation; Read only memory; Table lookup", } @InBook{Huang:2011:FIN, author = "J.-M. Huang and Z. Chen and H. Guo and K. Han", booktitle = "Advances in Computer Science, Intelligent System and Environment", title = "{FPGA} Implementation of a Novel Type {DDS} Based on {CORDIC} Algorithm", publisher = pub-SV, address = pub-SV:adr, pages = "183--188", year = "2011", DOI = "https://doi.org/10.1007/978-3-642-23756-0_30", ISBN = "3-642-23756-8", ISBN-13 = "978-3-642-23756-0", ISSN = "1867-5670", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Jie:2011:FOR, author = "Lijun Jie and Shan Ouyang and Qihong Liu and Liangnian Jin", booktitle = "{2011 6th IEEE Conference on Industrial Electronics and Applications}", title = "A fast optimization realization algorithm of through-the-wall radar imaging", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2227--2230", year = "2011", DOI = "https://doi.org/10.1109/ICIEA.2011.5975960", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Cordic; Imaging; imaging; Iterative methods; Newton's method; Radar imaging; Real time systems; through-the-wall radar", } @InProceedings{Juntao:2011:IGC, author = "Zhang Juntao and Ma Wenbo", booktitle = "{2011 IEEE International Conference on Computer Science and Automation Engineering}", title = "Implementation of general {CORDIC} {IP} core based on {FPGA}", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "606--608", year = "2011", DOI = "https://doi.org/10.1109/CSAE.2011.5952751", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "algorithm; coordinate conversion; CORDIC; FPGA; implementation", } @Article{Kaivani:2011:DCR, author = "Amir Kaivani and Ghassem Jaberipur", title = "Decimal {CORDIC} Rotation based on Selection by Rounding: Algorithm and Architecture", journal = j-COMP-J, volume = "54", number = "11", pages = "1798--1809", year = "2011", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/bxr012", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "decimal computer arithmetic; decimal CORDIC; retiming; selection by rounding", } @Article{Kao:2011:HPC, author = "Chi-Chou Kao", title = "High-performance {CORDIC} rotation algorithm based on look-ahead techniques", journal = j-INT-J-ELECTRON, volume = "98", number = "8", pages = "1075--1089", month = aug, year = "2011", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2011.593143", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @InProceedings{Kim:2011:PCT, author = "Sunho Kim and Jino Oh and Sungbin Im", booktitle = "{2011 IEEE International Conference on Consumer Electronics (ICCE)}", title = "Performance comparison of {Taylor} series approximation and {CORDIC} algorithm for open-loop polar transmitters", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "425--426", year = "2011", DOI = "https://doi.org/10.1109/ICCE.2011.5722664", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Conferences; Consumer electronics", } @InProceedings{Lakshmi:2011:PCL, author = "B. Lakshmi and A. S. Dhar", booktitle = "{TENCON 2011 --- 2011 IEEE Region 10 Conference}", title = "Parallel {CORDIC-like} architecture: For fast rotation implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "701--705", year = "2011", DOI = "https://doi.org/10.1109/TENCON.2011.6129199", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; CORDIC algorithm; CORDIC-like fast rotator; Delay; Read only memory; rotation mode; Signal processing algorithms; Vectors; Very large scale integration; VLSI architecture", } @Article{Lakshmi:2011:VAL, author = "B. Lakshmi and A. S. Dhar", title = "{VLSI} architecture for low latency radix-4 {CORDIC}", journal = j-COMPUT-ELECTR-ENG, volume = "37", number = "6", pages = "1032--1042", year = "2011", CODEN = "CPEEBQ", DOI = "https://doi.org/10.1016/j.compeleceng.2011.07.011", ISSN = "0045-7906 (print), 1879-0755 (electronic)", ISSN-L = "0045-7906", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0045790611001133", acknowledgement = ack-nhfb, fjournal = "Computers and Electrical Engineering", } @InProceedings{Li:2011:DAI, author = "YuJing Li and LinTao Liu and Xu Huang and RuiTao Zhang and RuZhang Li", booktitle = "{2011 Second International Conference on Digital Manufacturing \& Automation}", title = "Design and {ASIC} Implementation of High-Speed {DDC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "365--368", year = "2011", DOI = "https://doi.org/10.1109/ICDMA.2011.96", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Baseband; DDC; Filter banks; Finite impulse response filter; Hardware; High-speed; Mathematical model; Mixers; modified cordic Arithmetic", } @InProceedings{Li:2011:HSD, author = "Nan Li and Hui Xu and Wei Wang and Weida Zhang", booktitle = "{2011 4th International Conference on Biomedical Engineering and Informatics (BMEI)}", title = "High-speed digital-controlled variable voltage source with current monitor for {EIT} application", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1110--1113", year = "2011", DOI = "https://doi.org/10.1109/BMEI.2011.6098395", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Biomedical monitoring; CORDIC; Current monitor; EIT; Field programmable gate arrays; FPGA; Gain; Monitoring; Sensors; Tomography; Variable Voltage source", } @InProceedings{Li:2011:IIP, author = "Xiuliang Li and Hongsheng Li and Bo Yang", booktitle = "{2011 International Conference on Electrical and Control Engineering}", title = "The implementation of improved phase projection method in {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4146--4149", year = "2011", DOI = "https://doi.org/10.1109/ICECENG.2011.6057112", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; cordic algorithm; Digital signal processing; Educational institutions; Field programmable gate arrays; frequency measurement; Frequency measurement; Hardware design languages; phase projection method; Signal processing algorithms; silicon micro-accelerometer; Simulink simulation; Verilog HDL", } @InProceedings{Liao:2011:CBI, author = "Wei-Ting Liao and W.-C. Chou and Wen-Yen Lin and Kin Fong Lei and Wen-Wei Tsai and Ming-Yih Lee", booktitle = "{2011 4th International Conference on Biomedical Engineering and Informatics (BMEI)}", title = "{CORDIC}-based inclination sensing algorithm using three-axis accelerometer-based inertial sensors", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "708--712", year = "2011", DOI = "https://doi.org/10.1109/BMEI.2011.6098459", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "accelerometer; Accelerometers; algorithm; CORDIC; Equations; Gravity; inclination sensing; Microcontrollers; Monitoring; Sensors; Vectors", } @InProceedings{Mandai:2011:DIC, author = "Amritakar Mandai and B. K. Kaushik and Brijesh Kumar and R. P. Agarwal", booktitle = "{India International Conference on Power Electronics 2010 (IICPE2010)}", title = "Design and implementation of {CORDIC} processor for complex {DPLL}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2011", DOI = "https://doi.org/10.1109/IICPE.2011.5728075", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Demodulation; Digital Signal Processing; DPLL; Equations; Loop performance; Low pass filters; Micro-rotation; Pipelined Architecture; Signal processing algorithms; Very large scale integration", } @InProceedings{Mandal:2011:LAB, author = "Amritakar Mandal and B. K. Kaushik and Brijesh Kumar and K. C. Tyagi and R. P. Agarwal", booktitle = "{2011 International Conference on Emerging Trends in Networks and Computer Communications (ETNCC)}", title = "{LMS} algorithm based error correction technique in in-phase and quadrature channel signal processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "226--229", year = "2011", DOI = "https://doi.org/10.1109/ETNCC.2011.6255891", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Computer architecture; CORDIC; Filtering algorithms; Finite impulse response filter; FIR filter; I/Q imbalance; Least squares approximation; LMS algorithm; Local Oscillator; Low Pass Filter; Receivers; Signal processing algorithms", } @Article{Martin:2011:WHS, author = "Grant Martin", title = "Will hardware and software be codesigned? [{Review} of \booktitle{A Practical Introduction to Hardware\slash Software Codesign} ({Schaumont, P.R.}; 2010)]", journal = j-IEEE-DES-TEST-COMPUT, volume = "28", number = "2", pages = "70--73", year = "2011", DOI = "https://doi.org/10.1109/MDT.2011.41", ISSN = "0740-7475 (print), 1558-1918 (electronic)", ISSN-L = "0740-7475", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Design \& Test of Computers", keywords = "ASIP; Book reviews; codesign; Cordic; design and test; Design methodology; Gezel; Hardware; hardware/software; HDL; Software design", } @InProceedings{Neji:2011:AFI, author = "Nihel Neji and Anis Boudabous and Wajdi Kharrat and Nouri Masmoudi", booktitle = "{Eighth International Multi-Conference on Systems, Signals \& Devices}", title = "Architecture and {FPGA} implementation of the {CORDIC} algorithm for fingerprints recognition systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2011", DOI = "https://doi.org/10.1109/SSD.2011.5767426", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Convergence; CORDIC algorithm; Delay; Field programmable gate arrays; fingerprint; Fingerprint recognition; FPGA; hardware; rotation and vectoring mode; Signal processing algorithms; VHDL", } @InProceedings{Nilsson:2011:PRU, author = "Peter Nilsson and Syed Nadeemuddin", booktitle = "{2011 20th European Conference on Circuit Theory and Design (ECCTD)}", title = "Power reductions in unrolled {CORDIC} architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "705--708", year = "2011", DOI = "https://doi.org/10.1109/ECCTD.2011.6043641", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Approximation methods; Complexity theory; Computer architecture; Hardware; Power demand; Transistors", } @Article{Oruklu:2011:RML, author = "Erdal Oruklu and Xin Xiao and Jafar Saniie", title = "Reduced Memory and Low Power Architectures for {CORDIC}-based {FFT} Processors", journal = "Journal of Signal Processing Systems", volume = "66", number = "2", pages = "129--134", month = apr, year = "2011", DOI = "https://doi.org/10.1007/s11265-011-0586-x", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @InProceedings{Penubolu:2011:VIS, author = "Sudhakara Reddy Penubolu and Ramachandra Reddy Gudheti", booktitle = "{2011 IEEE 3rd International Conference on Communication Software and Networks}", title = "{VLSI} implementation of synchronizer and pipelined {CORDIC} in {OFDM} receiver for fourth generation wireless {LAN} applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "312--315", year = "2011", DOI = "https://doi.org/10.1109/ICCSN.2011.6013722", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ASIC; CORDIC; Correlation; Digital signal processing; FPGA; OFDM; Signal processing algorithms; Synchronization; Synchronizer; Very large scale integration; VLSI; Wireless communication", } @InProceedings{Pouyan:2011:VIL, author = "Peyman Pouyan and Erik Hertz and Peter Nilsson", booktitle = "{2011 20th European Conference on Circuit Theory and Design (ECCTD)}", title = "A {VLSI} implementation of logarithmic and exponential functions using a novel parabolic synthesis methodology compared to the {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "709--712", year = "2011", DOI = "https://doi.org/10.1109/ECCTD.2011.6043642", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Application specific integrated circuits; Approximation methods; Computer architecture; CORDIC; Exponential; Field programmable gate arrays; FPGA; Hardware; Logarithmic; Parabolic Synthesis; VLSI", } @Article{Qu:2011:DDB, author = "Xiujie Qu and He Chen and Yubin Zhang and Yingtao Ding", title = "Design of {DDS} based on Hybrid-{CORDIC} Architecture", journal = "International Journal of Computational Intelligence Systems", volume = "4", number = "3", pages = "306--313", month = may, year = "2011", DOI = "https://doi.org/10.1080/18756891.2011.9727787", ISSN = "1875-6883", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @TechReport{Roegel:2011:RTB, author = "Denis Roegel", title = "A reconstruction of the tables of {Briggs}' \booktitle{Arithmetica logarithmica} (1624)", type = "Report", number = "????", institution = inst-LORIA-INRIA-LORRAINE, address = inst-LORIA-INRIA-LORRAINE:adr, pages = "334", day = "11", month = jan, year = "2011", bibdate = "Mon Nov 10 08:51:59 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", note = "Revised 30 November 2014. See \cite{Briggs:1624:ALL}.", URL = "https://locomat.loria.fr/briggs1624/briggs1624doc.pdf", acknowledgement = ack-nhfb, } @InProceedings{Ross:2011:DRI, author = "Dian-Marie Ross and Scott Miller and Mihai Sima and Curran Crawford", booktitle = "{Proceedings of 2011 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing}", title = "Design rules for implementing {CORDIC} on {FPGAs}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "797--802", year = "2011", DOI = "https://doi.org/10.1109/PACRIM.2011.6032996", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Delay; Field programmable gate arrays; Hardware; Multiplexing; Routing; Table lookup", } @InProceedings{Ross:2011:ESP, author = "Dian-Marie Ross and Scott Miller and Mihai Sima and Michael McGuire", booktitle = "{2011 Conference Record of the Forty Fifth Asilomar Conference on Signals, Systems and Computers (ASILOMAR)}", title = "Exploration of sign precomputation-based {CORDIC} in reconfigurable systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2186--2191", year = "2011", DOI = "https://doi.org/10.1109/ACSSC.2011.6190419", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Delay; Field programmable gate arrays; Mathematical model; Read only memory; Table lookup; Vectors", } @InProceedings{Samman:2011:RSP, author = "Faizal A. Samman and Pongyupinpanich Surapong and Manfred Glesner", booktitle = "{6th International Workshop on Reconfigurable Communication-Centric Systems-on-Chip (ReCoSoC)}", title = "Reconfigurable streaming processor core with interconnected floating-point arithmetic units for multicore adaptive signal processing systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2011", DOI = "https://doi.org/10.1109/ReCoSoC.2011.5981539", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptation models; Adaptive Signal Processing; Adaptronic Application; CORDIC Algorithm; Floating-Point Arithmetic; Least squares approximation; Multicore processing; Multiplexing; Random access memory; Reconfigurable Streaming Processor; Signal processing algorithms", } @Article{Sanchez-Romero:2011:FAD, author = "Jose-Luis Sanchez-Romero and Higinio Mora-Mora and Jeronimo Mora-Pascual and Antonio Jimeno-Morenilla", title = "Function approximation on decimal operands", journal = j-DIGIT-SIGNAL-PROCESS, volume = "21", number = "2", pages = "354--366", year = "2011", CODEN = "DSPREJ", DOI = "https://doi.org/10.1016/j.dsp.2010.06.013", ISSN = "1051-2004 (print), 1095-4333 (electronic)", ISSN-L = "1051-2004", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1051200410001557", acknowledgement = ack-nhfb, fjournal = "Digital Signal Processing", journal-URL = "https://www.sciencedirect.com/journal/digital-signal-processing", keywords = "CORDIC; Decimal arithmetic; Function approximation", } @InProceedings{Sarbishei:2011:FPA, author = "Omid Sarbishei and Katarzyna Radecka", booktitle = "{2011 IEEE 20th Symposium on Computer Arithmetic}", title = "On the Fixed-Point Accuracy Analysis and Optimization of {FFT} Units with {CORDIC} Multipliers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "62--69", year = "2011", DOI = "https://doi.org/10.1109/ARITH.2011.17", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Analytical models; CORDIC Complex Multiplier; Fast Fourier Transform; Fixed-Point Number Format; Hardware; Mean-Square-Error; Optimization; Quantization; Signal-to-Quantization-Noise-Ratio; Table lookup", } @Article{Senthilvelan:2011:CIL, author = "Murugappan Senthilvelan and Meng Yu and Daniel Iancu and Mihai Sima and Michael Schulte", title = "{CORDIC} instructions for {LDPC} decoding on {SDR} platforms", journal = "Analog Integrated Circuits and Signal Processing", volume = "69", number = "2--3", pages = "191--206", month = jul, year = "2011", DOI = "https://doi.org/10.1007/s10470-011-9683-9", ISSN = "1573-1979", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Sharma:2011:DFS, author = "Anita Sharma and R. D. Daruwala", booktitle = "{2011 IEEE 3rd International Conference on Communication Software and Networks}", title = "Digital frequency(sinusoidal) synthesizer using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "521--524", year = "2011", DOI = "https://doi.org/10.1109/ICCSN.2011.6013885", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Digital signal processing; digital sinusoidal generators; Direct Digital synthesizer(DDS); phase to sine amplitude conversion; Read only memory; VHDL", } @MastersThesis{Sun:2011:RRD, author = "Pan Pan Sun", title = "The research and realization of {DDS} based on improved {CORDIC} algorithm", type = "{Master's} thesis", school = "Beijing Institute of Technology", address = "Beijing (People's Republic of China)", year = "2011", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/research-realization-dds-based-on-improved-cordic/docview/1874930333/se-2", acknowledgement = ack-nhfb, advisor = "Xiu Jie Qu", keywords = "(UMI)AAI10579947; 0544:Electrical engineering; Applied sciences; Electrical engineering", ris-m1 = "10579947", } @InProceedings{Surapong:2011:PFP, author = "Pongyupinpanich Surapong and Manfred Glesner", booktitle = "{2011 21st International Conference on Field Programmable Logic and Applications}", title = "Pipelined Floating-Point Architecture for a Phase and Magnitude Detector Based on {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "382--384", year = "2011", DOI = "https://doi.org/10.1109/FPL.2011.74", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Control systems; CORDIC; Detectors; Field programmable gate arrays; floating-point computation; Hardware; phase and magnitude detector; Pipeline processing; Silicon", } @Misc{Vashkevich:2011:FIS, author = "Maxim Vashkevich and Marek Parfieniuk and Alexander Petrovsky", title = "{FPGA} implementation of short critical path {CORDIC}-based approximation of the eight-point {DCT}", year = "2011", DOI = "https://doi.org/10.48550/arXiv.1110.6865", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1110.6865", abstract = "This paper presents an efficient approach for multiplierless implementation for eight-point DCT approximation, which based on coordinate rotation digital computer (CORDIC) algorithm. The main design objective is to make critical path of corresponding circuits shorter and reduce the combinational delay of proposed scheme.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "1110.6865", primaryclass = "cs.AR", } @MastersThesis{Yang:2011:CMD, author = "Yu Chen Yang", title = "{C} model design and verification of floating-point {CORDIC} for hardware implementation", type = "{Master's} thesis", school = "Xian Jiaotong University", address = "Xian, People's Republic of China", year = "2011", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://login.ezproxy.lib.utah.edu/login?url=https://www.proquest.com/dissertations-theses/c-model-design-verification-floating-point-cordic/docview/1874930256/se-2", acknowledgement = ack-nhfb, advisor = "Kui Zhi Mei", keywords = "(UMI)AAI10542507; 0984:Computer science; Applied sciences; Computer science", ris-m1 = "10542507", } @InProceedings{Younis:2011:CBA, author = "S. Younis and A. Al-Dweik and C. C. Tsimenidis and B. S. Sharif and A. Hazmi", booktitle = "{2011 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT)}", title = "{CORDIC} based architecture for blind {CFO} estimation in {OFDM} systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "359--362", year = "2011", DOI = "https://doi.org/10.1109/ISSPIT.2011.6151588", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Computer architecture; Cost function; Estimation; Hardware; OFDM; Synchronization", } @InProceedings{Zeng:2011:ERB, author = "Peng Zeng and Fanshui Lu and Xingqun Zhao", booktitle = "{2011 4th International Congress on Image and Signal Processing}", title = "The efficient realization of {B} mode ultrasonic Digital Scan Conversion based on radix-4 {CORDIC} Algorithm", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2683--2686", year = "2011", DOI = "https://doi.org/10.1109/CISP.2011.6100702", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustics; Computer architecture; coordinate transform; DSC; Field programmable gate arrays; FPGA architecture; Hardware; Iterative algorithms; Mathematical models; radix-4 CORDIC algorithm; Signal processing algorithms; Transforms; Ultrasonic imaging; Vectors", } @InProceedings{Zhang:2011:DCI, author = "YanJia Zhang and WeiTao Du and YaHui Hou", booktitle = "{2011 International Conference on Electric Information and Control Engineering}", title = "Design of {CORDIC} {IP} Compiler", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4100--4102", year = "2011", DOI = "https://doi.org/10.1109/ICEICE.2011.5778159", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Field programmable gate arrays; Finite wordlength effects; IP Compiler; IP networks; MATLAB; Phase modulation; pipeline; Pipelines; truncation error", } @Article{Zhang:2011:DDB, author = "Yubin Zhang and He Chen and Yingtao Ding and Xiujie Qu", title = "Design of {DDS} based on {Hybird-CORDIC} Architecture", journal = "International Journal of Computational Intelligence Systems", volume = "4", number = "3", pages = "306", year = "2011", DOI = "https://doi.org/10.2991/ijcis.2011.4.3.3", ISSN = "1875-6883", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, remark = "The paper consistently uses hybird instead of hybrid.", } @InProceedings{Zhao:2011:PBD, author = "Zhanxiang Zhao and Tian Xiang and Ming Gao and Chenghao He and Xin Zhang and Xi Jin", booktitle = "{2011 IEEE International Conference on Computer Science and Automation Engineering}", title = "A pipelined beamforming delay calculation architecture in ultrasound imaging system", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "162--166", year = "2011", DOI = "https://doi.org/10.1109/CSAE.2011.5953195", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; beamforming; Calculators; CLA; Computer architecture; CORDIC; Delay; delay calculation; Field programmable gate arrays; Imaging; Ultrasonic imaging; ultrasound", } @InProceedings{Zhao:2011:PHP, author = "Zhanxiang Zhao and Xi Jin and Xin Zhang", booktitle = "{2011 International Conference on Field-Programmable Technology}", title = "Pipelined high precision beamforming delay calculator for ultrasound imaging", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2011", DOI = "https://doi.org/10.1109/FPT.2011.6132718", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; beamforming; Calculators; CORDIC; Delay; delay calculator; Field programmable gate arrays; Imaging; Transducers; Ultrasonic imaging; ultrasound imaging", } @InProceedings{Zhihua:2011:DNB, author = "Lei Zhihua and Wang Weilian", booktitle = "{2011 International Conference on Electronics, Communications and Control (ICECC)}", title = "The design of {NCO} based on {CORDIC} algorithm and implementation in {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2902--2905", year = "2011", DOI = "https://doi.org/10.1109/ICECC.2011.6066683", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Digital Down Converter; Educational institutions; Equations; Field programmable gate arrays; FPGA; Mathematical model; NCO; Signal processing algorithms", } @Article{Aggarwal:2012:ATE, author = "Supriya Aggarwal and Pramod K. Meher and Kavita Khare", title = "Area-Time Efficient Scaling-Free {CORDIC} Using Generalized Micro-Rotation Selection", journal = j-IEEE-TRANS-VLSI-SYST, volume = "20", number = "8", pages = "1542--1546", year = "2012", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2011.2158459", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Accuracy; Approximation methods; Computer architecture; Convergence; coordinate rotation digital computer (CORDIC); cosine/sine; field-programmable gate array (FPGA); most-significant-1; recursive architecture; Signal processing algorithms; Taylor series; Very large scale integration", } @Article{Aggarwal:2012:DTT, author = "Supriya Aggarwal and Kavita Khare", title = "Design Techniques Targeting Low-Area Power-Delay Product in Hyperbolic {CORDIC} Algorithm", journal = j-COMP-J, volume = "55", number = "5", pages = "616--628", year = "2012", CODEN = "CMPJA6", DOI = "https://doi.org/10.1093/comjnl/bxr109", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", keywords = "activation functions; CORDIC algorithm; exponents; hyperbolic functions; most-significant-one; Taylor series", } @InProceedings{Aggarwal:2012:HEA, author = "Supriya Aggarwal and Kavita Khare", booktitle = "{2012 25th International Conference on VLSI Design}", title = "Hardware Efficient Architecture for Generating Sine\slash Cosine Waves", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "57--61", year = "2012", DOI = "https://doi.org/10.1109/VLSID.2012.46", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Approximation methods; Computer architecture; CORDIC Algorithm; Cosine; Hardware; Leading-One Bit; Signal processing algorithms; Sine; Taylor series; Taylor Series", } @Article{Aggarwal:2012:LCV, author = "Supriya Aggarwal and Kavita Khare", title = "Low complexity {VLSI} implementation of {CORDIC-based} exponent calculation for neural networks", journal = j-INT-J-ELECTRON, volume = "99", number = "11", pages = "1471--1488", month = nov, year = "2012", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2012.669892", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @Article{Aggarwal:2012:LOD, author = "Supriya Aggarwal and Kavita Khare", title = "Leading One Detection Hyperbolic {CORDIC} with Enhanced Range of Convergence", journal = "Journal of Signal Processing Systems", volume = "70", number = "1", pages = "49--57", month = feb, year = "2012", DOI = "https://doi.org/10.1007/s11265-012-0658-6", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @Article{Aggarwal:2012:RSF, author = "Supriya Aggarwal and Kavita Khare", title = "Redesigned-Scale-Free {CORDIC} Algorithm Based {FPGA} Implementation of Window Functions to Minimize Area and Latency", journal = "International Journal of Reconfigurable Computing", volume = "2012", number = "1", pages = "185784", year = "2012", DOI = "https://doi.org/10.1155/2012/185784", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1155/2012/185784", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1155/2012/185784", } @InProceedings{Alim:2012:MCH, author = "F. Ferhat-taleb Alim and K. Messaoudi and S. Seddiki and O. Kerdjidj", booktitle = "{2012 24th International Conference on Microelectronics (ICM)}", title = "Modified circular {Hough} transform using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2012", DOI = "https://doi.org/10.1109/ICM.2012.6471412", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; cordic algorithm; Field programmable gate arrays; FPGA; Hough Transform; Image edge detection; iris detection; MATLAB; Software algorithms; Switches; Transforms; V2MB1000", } @InProceedings{An:2012:TFA, author = "Ting An and Matteo Causo and Lirida Alves de Barros Naviner and Philippe Matherat", booktitle = "{2012 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 2012)}", title = "Transient fault analysis of {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "757--760", year = "2012", DOI = "https://doi.org/10.1109/ICECS.2012.6463644", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Arithmetic Operators; Circuit faults; Computer architecture; CORDIC; Fault tolerance; Fault tolerant systems; Fault-tolerance; Logic gates; Selective-Hardening; Transient analysis; Transient Fault", } @Article{Banerjee:2012:PVA, author = "Ayan Banerjee and Anindya Sundar Dhar", title = "Pipelined {VLSI} Architecture using {CORDIC} for Transform Domain Equalizer", journal = "Journal of Signal Processing Systems", volume = "70", number = "1", pages = "39--48", month = feb, year = "2012", DOI = "https://doi.org/10.1007/s11265-012-0657-7", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @InProceedings{Bi:2012:FCD, author = "Zhuo Bi and Yijun Dai", booktitle = "{2012 IEEE Fifth International Conference on Advanced Computational Intelligence (ICACI)}", title = "Full custom datapath of 16-bit {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "993--998", year = "2012", DOI = "https://doi.org/10.1109/ICACI.2012.6463320", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Delay; Latches; Layout; Pipelines; Registers", } @InProceedings{Brahmachari:2012:LPG, author = "Amrita Brahmachari and Roy P. Paily", booktitle = "{2012 Ninth International Conference on Wireless and Optical Communications Networks (WOCN)}", title = "Low power 2.4 {GHz} {RF} transmitter for satellite subsystem using {CORDIC} based frequency translator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2012", DOI = "https://doi.org/10.1109/WOCN.2012.6335522", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Frequency modulation; Mixers; Offset Quadrature Phase Shift Keying modulation; Power Amplifier; Radio frequency; Telecommand and Telemetry System; Transmitters; Zigbee", } @Article{Canet:2012:FIO, author = "Mar{\'\i}a Jos{\'e} Canet and Javier Valls and Vicen{\c{c}} Almenar and Jos{\'e} Mar{\'\i}n-Roig", title = "{FPGA} implementation of an {OFDM}-based {WLAN} receiver", journal = j-MICROPROC-MICROSYS, volume = "36", number = "3", pages = "232--244", year = "2012", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2011.11.004", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933112000142", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "FPGA; OFDM; Synchronization; WLAN receiver", } @InProceedings{Causo:2012:PSF, author = "Matteo Causo and Ting An and Lirida Alves de Barros Naviner", booktitle = "{2012 19th IEEE International Conference on Electronics, Circuits, and Systems (ICECS 2012)}", title = "Parallel scaling-free and area-time efficient {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "149--152", year = "2012", DOI = "https://doi.org/10.1109/ICECS.2012.6463778", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Arithmetic processor; ASIC; Complexity theory; Computer architecture; CORDIC algorithm; CORDIC implementation; Nickel; Signal processing algorithms; Taylor series; Vectors", } @Article{Chen:2012:IDF, author = "Dongdong Chen and Liu Han and Younhee Choi and Seok-Bum Ko", title = "Improved Decimal Floating-Point Logarithmic Converter Based on Selection by Rounding", journal = j-IEEE-TRANS-COMPUT, volume = "61", number = "5", pages = "607--621", month = may, year = "2012", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2011.43", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Fri Apr 6 18:50:40 2012", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2010.bib", abstract = "This paper presents the algorithm and architecture of the decimal floating-point (DFP) logarithmic converter, based on the digit-recurrence algorithm with selection by rounding. The proposed approach can compute faithful DFP logarithm results for any one of the three DFP formats specified in the IEEE 754-2008 standard. In order to optimize the latency for the proposed design, we mainly integrate the following novel features: (1) using the redundant carry-save representation of the data-path; (2) reducing the number of iterations by determining the number of initial iteration; and (3) retiming and balancing the delay of the proposed architecture. The proposed architecture is synthesized with STM 90-nm standard cell library and the results show that the critical path delay and the number of clock cycles of the proposed Decimal64 logarithmic converter are 1.55 ns (34.4 FO4) and 19 respectively, and the total hardware complexity is 43572 NAND2 gates. The delay estimation results of the proposed architecture show that its latency is close to that of the binary radix-16 logarithmic converter, and that it has a significant decrease on latency compared with a recently published high performance CORDIC implementation.", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", } @InProceedings{Das:2012:DIF, author = "Abhishek Das and Suraj Dash and A. K. Sahoo and B. Chitti Babu", booktitle = "{2012 Annual IEEE India Conference (INDICON)}", title = "Design and implementation of {FPGA} based linear all digital phase-locked loop", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "280--285", year = "2012", DOI = "https://doi.org/10.1109/INDCON.2012.6420629", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Band pass filters; CORDIC algorithm; Field programmable gate arrays; FPGA Implementation; Hilbert Transform; IIR filters; Phase detection; Phase detector; Phase locked loop; Phase locked loops; Signal processing; Table lookup; Transforms", } @InProceedings{Das:2012:NPD, author = "Abhishek Das and Suraj Dash and B. Chitti Babu and Ajit Kumar Sahoo", booktitle = "{2012 Students Conference on Engineering and Systems}", title = "A novel phase detection system for linear all-digital phase locked loop", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/SCES.2012.6199080", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Band pass filters; CORDIC algorithm; Filtering algorithms; Finite impulse response filter; Hilbert Transform; IIR filters; Information filters; Phase detection; Phase detector; Phase locked loop; Phase locked loops; Signal processing", } @InProceedings{deLima:2012:IRA, author = "E. R. de Lima and T. Barros and G. S. Teles and V. Pimenta and M. A. J. Perez and J. P. S. Vermeeren and J. E. Bertuzzo", booktitle = "{2012 IEEE Second International Conference on Consumer Electronics --- Berlin (ICCE-Berlin)}", title = "{ISDB-T} receiver architecture and {VLSI} implementation in 65 nm {CMOS}, for Fixed-Reception high definition Digital Television", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "116--120", year = "2012", DOI = "https://doi.org/10.1109/ICCE-Berlin.2012.6336495", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithms; Application specific integrated circuits; Architecture; Communication standards; CORDIC; Data communication; Digital multimedia broadcasting; Field programmable gate arrays; IC-Brazil; ISBD-Tb; Multiplexing; Receivers; VLSI", } @InProceedings{Dong:2012:ISP, author = "Chen Dong and Chen He and Sun Xing and Pang Long", booktitle = "{2012 International Conference on Control Engineering and Communication Technology}", title = "Implementation of Single-Precision Floating-Point Trigonometric Functions with Small Area", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "589--592", year = "2012", DOI = "https://doi.org/10.1109/ICCECT.2012.186", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Equations; Field programmable gate arrays; floating-point; FPGA; Hardware; Mathematical model; Transforms; trigonometric functions", } @InProceedings{Gao:2012:DDC, author = "Li-Peng Gao and Jian Liu", booktitle = "{2012 Second International Conference on Instrumentation, Measurement, Computer, Communication and Control}", title = "Design of Dual-Channel {AIS} Digital Receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "238--242", year = "2012", DOI = "https://doi.org/10.1109/IMCCC.2012.61", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Band pass filters; band pass sample; CORDIC; digital filter; digital quadrature mixer; digital receiver; Field programmable gate arrays; Filtering algorithms; Filtering theory; Finite impulse response filter; Low pass filters", } @Article{Gazeau:2012:NLM, author = "Ivan Gazeau and Dale Miller and Catuscia Palamidessi", title = "A non-local method for robustness analysis of floating point programs", journal = "arXiv.org", volume = "??", number = "??", pages = "??--??", day = "3", month = feb, year = "2012", CODEN = "????", ISSN = "????", ISSN-L = "????", bibdate = "Wed Sep 30 12:43:49 MDT 2015", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://arxiv.org/abs/1202.0693", abstract = "Robustness is a standard correctness property which intuitively means that if the input to the program changes less than a fixed small amount then the output changes only slightly. This notion is useful in the analysis of rounding error for floating point programs because it helps to establish bounds on output errors introduced by both measurement errors and by floating point computation. Compositional methods often do not work since key constructs---like the conditional and the while-loop---are not robust. We propose a method for proving the robustness of a while-loop. This method is non-local in the sense that instead of breaking the analysis down to single lines of code, it checks certain global properties of its structure. We show the applicability of our method on two standard algorithms: the CORDIC computation of the cosine and Dijkstra's shortest path algorithm.", acknowledgement = ack-nhfb, subject = "Programming Languages (cs.PL)", } @InProceedings{Giannakopoulou:2012:HPA, author = "Vasiliki Giannakopoulou and Kostas Masselos", booktitle = "{2012 International Conference on Signals and Electronic Systems (ICSES)}", title = "Hardware performance analysis of a parametric {CORDIC} {IP}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/ICSES.2012.6382249", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Equations; Hardware; Mathematical model; Microprocessors; Registers; Vectors", } @InProceedings{Hsiao:2012:LCD, author = "Shen-Fu Hsiao and Chia-Sheng Wen and Cheng-Han Lee and Andrew Lee", booktitle = "{2012 IEEE Asia Pacific Conference on Circuits and Systems}", title = "Low-cost designs of rectangular to polar coordinate converters for digital communication", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "511--514", year = "2012", DOI = "https://doi.org/10.1109/APCCAS.2012.6419084", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; angle rotation; Approximation methods; coordinate conversion; CORDIC; Digital communication; digital communication; Read only memory; Table lookup; Vectors", } @InProceedings{Huang:2012:DDC, author = "Hai Huang and Liyi Xiao and Zhiwei Liu", booktitle = "{2012 5th International Congress on Image and Signal Processing}", title = "Data dependent compression based on reconfigurable {DCT} using {JND} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1224--1228", year = "2012", DOI = "https://doi.org/10.1109/CISP.2012.6469841", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation methods; Computer architecture; CORDIC; Data dependent compression; Discrete cosine transform (DCT); Discrete cosine transforms; Image coding; Image quality; Just noticeable distortion (JND); PSNR; Signal processing algorithms", } @InProceedings{Jain:2012:NAH, author = "Rohit Kumar Jain and V. K. Sharma and K. K. Mahapatra", booktitle = "{2012 1st International Conference on Recent Advances in Information Technology (RAIT)}", title = "A new approach for high performance and efficient design of {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "756--760", year = "2012", DOI = "https://doi.org/10.1109/RAIT.2012.6194549", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; carry look ahead adder (CLA); carry save adder (CSA); Computer architecture; Coordinate rotation digital computer (CORDIC); Delay; Field programmable gate arrays; FPGA; Libraries; Microprocessors; Read only memory; vector rotation", } @InProceedings{Joseph:2012:FIR, author = "Edwin Joseph and A. Rajagopal and K. Karibasappa", booktitle = "{2012 Nirma University International Conference on Engineering (NUiCONE)}", title = "{FPGA} implementation of Radix-2 {FFT} processor based on Radix-4 {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/NUICONE.2012.6493231", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; DFT; FFT; FPGA; VHDL", } @Article{Juang:2012:OIS, author = "Ying-Shen Juang and Lu-Ting Ko and Jwu-E. Chen and Tze-Yun Sung and Hsi-Chin Hsin", title = "Optimization and implementation of scaling-free {CORDIC}-based direct digital frequency synthesizer for body care area network systems", journal = "Computational and Mathematical Methods in Medicine", volume = "2012", pages = "1--9", year = "2012", DOI = "https://doi.org/10.1155/2012/651564", ISSN = "1748-670X (print), 1748-6718 (electronic)", ISSN-L = "1748-670X", MRclass = "94A12", MRnumber = "2998378", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Id/No 651564", ZMnumber = "1303.92052", acknowledgement = ack-nhfb, ajournal = "Comput. Math. Methods Med.", articleno = "651564", fjournal = "Computational and Mathematical Methods in Medicine", keywords = "92C55,94A12", ZBmath = "6123559", } @Article{Jung:2012:CLP, author = "In-Seok Jung and Yong-Bin Kim", title = "A {CMOS} Low-Power Digital Polar Modulator System Integration for {WCDMA} Transmitter", journal = j-IEEE-TRANS-IND-ELECTRON, volume = "59", number = "2", pages = "1154--1160", year = "2012", CODEN = "ITIED6", DOI = "https://doi.org/10.1109/TIE.2011.2158777", ISSN = "0278-0046 (print), 1557-9948 (electronic)", ISSN-L = "0278-0046", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Industrial Electronics", keywords = "CMOS coordinate rotation digital computer (CORDIC); Computer architecture; Hardware; low power; Multiaccess communication; Phase shift keying; Spread spectrum communication; Transmitters; WCDMA", } @Article{Li:2012:DIF, author = "L. S. Li", title = "Design and Implementation of Floating-Point Exponential Function", journal = "Microelectronics", volume = "42", number = "??", pages = "703--709", month = "????", year = "2012", DOI = "", bibdate = "Tue Nov 11 20:07:11 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Ma:2012:AVP, author = "Shiyu Ma and Xiaoya Fan and Meng Zhang and Lichao Sun", booktitle = "{2012 9th International Conference on Fuzzy Systems and Knowledge Discovery}", title = "An adaptive vector parallel supported transcendental function unit for stream processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1140--1144", year = "2012", DOI = "https://doi.org/10.1109/FSKD.2012.6234026", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computers; Cordic Algorithm; Field programmable gate arrays; Hardware; Memory Accessing Times; Registers; Stream Processor; Table lookup; Transcendental Function Unit; Vectors", } @Article{Madheswaran:2012:IDD, author = "M. Madheswaran and T. Menakadevi", title = "An Improved Direct Digital Synthesizer Using Hybrid Wave Pipelining and {CORDIC} algorithm for Software Defined Radio", journal = j-CSSP, volume = "32", number = "3", pages = "1219--1238", month = oct, year = "2012", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-012-9495-x", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InProceedings{Mahapatra:2012:FIS, author = "Chinmaya Mahapatra and Saad Mahboob and Victor C. M. Leung and Thanos Stouraitis", booktitle = "{2012 International Conference on Control Engineering and Communication Technology}", title = "Fast Inverse Square Root Based Matrix Inverse for {MIMO-LTE} Systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "321--324", year = "2012", DOI = "https://doi.org/10.1109/ICCECT.2012.253", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arrays; CORDIC; Fast inverse square root; Field programmable gate arrays; Hardware; Matrix decomposition; MIMO; MIMO LTE; Pipeline processing; Pipelining; QR decomposition; Systolic array; Xilinx virtex6 FPGA", } @InBook{Markovi:2012:CDS, author = "Dejan Markovi and Robert W. Brodersen", booktitle = "{DSP} Architecture Design Essentials", title = "{CORDIC}, Divider, Square Root", publisher = "Springer US", pages = "91--110", year = "2012", DOI = "https://doi.org/10.1007/978-1-4419-9660-2_6", ISBN = "1-4419-9660-5", ISBN-13 = "978-1-4419-9660-2", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Misans:2012:FIE, author = "Peteris Misans and Uldis Derums and Vents Kanders", booktitle = "{NORCHIP 2012}", title = "{FPGA} implementation of elementary generalized unitary rotation with {CORDIC} based architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/NORCHP.2012.6403102", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC algorithm; Field programmable gate arrays; FPGA; Indexes; Jacobian matrices; Shape; Transforms; unitary Jacobi matrix; Unitary transforms; Vectors", } @InProceedings{Mishra:2012:CRA, author = "Rajesh Mishra and Amritakar Mandal", booktitle = "{International Multi-Conference on Systems, Signals \& Devices}", title = "Coordinate rotation algorithm based non-linear Adaptive Decision Feedback Equalizer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2012", DOI = "https://doi.org/10.1109/SSD.2012.6198025", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive Decision Feedback Equalizer; Algorithm design and analysis; Computer architecture; Convergence; CORDIC; Delay; Feed Forward Filter; Feedback Filter; Filtering algorithms; Finite impulse response filter; Inter Symbol Interference; Least squares approximation; LMS algorithm; Pipelined Architecture", } @Article{Nakahara:2012:WFF, author = "Hiroki Nakahara and Hiroyuki Nakanishi and Tsutomu Sasao", title = "On a wideband {Fast Fourier Transform} for a radio telescope", journal = j-COMP-ARCH-NEWS, volume = "40", number = "5", pages = "46--51", month = dec, year = "2012", CODEN = "CANED2", DOI = "https://doi.org/10.1145/2460216.2460225", ISSN = "0163-5964 (print), 1943-5851 (electronic)", ISSN-L = "0163-5964", bibdate = "Sun May 5 09:49:56 MDT 2013", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/sigarch.bib", note = "HEART '12 conference proceedings.", abstract = "The radio telescope analyzes a radio frequency from celestial objects by using fast Fourier transform (FFT). In this application, its bandwidth f is wider than that of the typical FFT. Since the amount of hardware for the typical FFT circuit is proportional to the bandwidth f, a special technique is necessary for this application. This paper shows a realization of wideband FFT for the radio telescope on an FPGA. We show that the memory size for the conventional FFT, which consists of the twiddle factor memory and the transpose memory, is too large. We replace the twiddle factor memory with the pipelined CORDIC. To reduce the number of transpose memories, we increase the radix of the FFT from 22 to 2k, also we use the DDR2SDRAM to implement the transpose memory. We implement the 230-FFT on an Altera's Stratix IV GX530 FPGA. It performs the 230-FFT operations in 1.5 seconds. Compared with the Altera's FFT library, our FFT circuit realizes 214 times wider bandwidth on the same FPGA. Also, compared with Tesla S1070 utilizing four GPUs, our FFT circuit is faster and dissipates lower power.", acknowledgement = ack-nhfb, fjournal = "ACM SIGARCH Computer Architecture News", journal-URL = "https://dl.acm.org/loi/sigarch", } @InProceedings{Panda:2012:PEG, author = "Smruti Ranjan Panda and B. Chitti Babu", booktitle = "{2012 IEEE Students' Conference on Electrical, Electronics and Computer Science}", title = "Phase estimation for grid synchronization using {CORDIC} algorithm with {SRF-PLL}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2012", DOI = "https://doi.org/10.1109/SCEECS.2012.6184724", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC Algorithm; Delay Compensator; Grid Synchronization; Harmonic analysis; Normalization; Phase estimation; Phase Estimation; Phase locked loop (PII); Phase locked loops; Power harmonic filters; Simulation; Synchronization; Vectors", } @Article{Park:2012:FPA, author = "Sang Yoon Park and Ya Jun Yu", title = "Fixed-point analysis and parameter selections of {MSR}-{CORDIC} with applications to {FFT} designs", journal = j-IEEE-TRANS-SIG-PROC, volume = "60", number = "12", pages = "6245--6256", year = "2012", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2012.2214218", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "94A12", MRnumber = "3006416", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1393.94140", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "94A11,65T60; Accuracy; Algorithm design and analysis; Approximation algorithms; Approximation error; Coordinate rotation digital computer (CORDIC); error analysis; fast Fourier transform (FFT); fixed-point; mixed-scaling-rotation (MSR)-CORDIC; Optimization; Signal processing algorithms", ZBmath = "6906670", } @InProceedings{Petrovsky:2012:CIL, author = "Nicolai A. Petrovsky and Marek Parfieniuk", booktitle = "{2012 International Conference on Signals and Electronic Systems (ICSES)}", title = "The {CORDIC-inside-lifting} architecture for constant-coefficient hardware quaternion multipliers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/ICSES.2012.6382236", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Approximation methods; Field programmable gate arrays; Hardware; Pipeline processing; Quaternions; Vectors", } @InProceedings{Pongyupinpanich:2012:DEF, author = "S. Pongyupinpanich and F. A. Samman and M. Glesner and S. Singhaniyom", booktitle = "{2012 9th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology}", title = "Design and evaluation of a floating-point division operator based on {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2012", DOI = "https://doi.org/10.1109/ECTICon.2012.6254331", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Convergence; Field programmable gate arrays; Hardware; MATLAB; Signal processing algorithms", } @InProceedings{Prasad:2012:DEA, author = "N Prasad and Ayas Kanta Swain and K. K. Mahapatra", booktitle = "{2012 Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics}", title = "Design and error analysis of a scale free {CORDIC} unit with corrected scale factor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "7--12", year = "2012", DOI = "https://doi.org/10.1109/PrimeAsia.2012.6458618", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; Computer architecture; Delay; DSP; Equations; FPGA; Hardware; Scaling free CORDIC; Signal processing algorithms; slice delay product", } @Article{Raajan:2012:CBM, author = "N. R. Raajan and B. Monisha and K. Vinoth and R. Niranjan and D. Diwakar Padmanabhan", title = "{CORDIC} Based Modified {OFDM} for Pipelined Data Process", journal = "Procedia Engineering", volume = "38", pages = "3300--3307", year = "2012", DOI = "https://doi.org/10.1016/j.proeng.2012.06.382", ISSN = "1877-7058", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "INTERNATIONAL CONFERENCE ON MODELLING OPTIMIZATION AND COMPUTING", URL = "https://www.sciencedirect.com/science/article/pii/S1877705812022953", acknowledgement = ack-nhfb, keywords = "Cordic; Dwt; Idwt Ohwdm; Ofdm", } @InProceedings{Raj:2012:RLC, author = "Krishna Raj and Praveen Kumar Singh and Rajkumar Tomar", booktitle = "{2012 2nd International Conference on Power, Control and Embedded Systems}", title = "A review of low cost multiplier using {CORDIC} subsystem", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2012", DOI = "https://doi.org/10.1109/ICPCES.2012.6508092", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Artificial intelligence; Clocks; Complex multiplication; Costs; Hardware; Logic; Parallel multiplier; Pipelined rotator; Recursive rotator; Serial multiplier; Shift registers; Signal processing algorithms; Sonar applications; Throughput", } @Article{Revathi:2012:ADF, author = "P. Revathi and M. V. Nageswara Rao and G. R. Locharla", title = "Architecture Design and {FPGA} Implementation of {CORDIC} Algorithm for Fingerprint Recognition Applications", journal = "Procedia Technology", volume = "6", pages = "371--378", year = "2012", DOI = "https://doi.org/10.1016/j.protcy.2012.10.044", ISSN = "2212-0173", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "2nd International Conference on Communication, Computing \& Security [ICCCS-2012]", URL = "https://www.sciencedirect.com/science/article/pii/S2212017312005890", acknowledgement = ack-nhfb, keywords = "AFIS; CORDIC; FFT; FPGA; Gabor; LUT; VerilogHDL; XILINX 13.2", } @InProceedings{Ristovic:2012:ICA, author = "Milica Ristovic and Slobodan Lubura and Dejan Jokic", booktitle = "{2012 20th Telecommunications Forum (TELFOR)}", title = "Implementation of {CORDIC} Algorithm on {FPGA Altera Cyclone}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "875--878", year = "2012", DOI = "https://doi.org/10.1109/TELFOR.2012.6419347", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "CORDIC Algorithm; Cyclones; Field programmable gate arrays; FPGA; Hardware; Hardware design languages; Mathematical model; MATLAB; Simulink HDL Coder", } @InProceedings{Samman:2012:SSP, author = "Faizal Arya Samman and Pongyupinpanich Surapong", booktitle = "{The 5th 2012 Biomedical Engineering International Conference}", title = "{SPECTRON}: Streaming processor specific for adaptronic and biomeditronic applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2012", DOI = "https://doi.org/10.1109/BMEiCon.2012.6465416", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive Signal Processing; Adaptronic; Adders; Biomedical Electronic Engineering; CORDIC Algorithm; Equations; Field programmable gate arrays; Floating-Point Arithmetic; Manganese; Random access memory; Registers; Switches; TermsReconfigurable Streaming Processor", } @InProceedings{Sanaa:2012:DMS, author = "W. Sanaa and N. Delaunay and B. {Le Gal} and D. Dallet and C. Rebai and N. Deltimple and D. Belot and E. Kerherve", booktitle = "{2012 IEEE 3rd Latin American Symposium on Circuits and Systems (LASCAS)}", title = "Design of a mixed-signal Cartesian Feedback loop for a low power zero-{IF} {WCDMA} transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2012", DOI = "https://doi.org/10.1109/LASCAS.2012.6180352", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Computer architecture; CORDIC; Mixed-Cartesian feedback loop; Multiaccess communication; Radio transmitters; Registers; Spread spectrum communication; Vectors; WCDMA transmitter", } @InProceedings{Sanaa:2012:NDP, author = "W. Sanaa and B. {Le Gal} and D. Dallet and C. Rebai and N. Deltimple and D. Belot and E. Kerherve", booktitle = "{10th IEEE International NEWCAS Conference}", title = "New digital predistortion design based on mixed-signal {Cartesian} feedback training for {3G} homodyne transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "93--96", year = "2012", DOI = "https://doi.org/10.1109/NEWCAS.2012.6328964", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; ASIC; Bandwidth; CORDIC; Mixed-Signal Loop; Power demand; Predistortion; Radio frequency; RAM; Random access memory", } @InProceedings{Sarbishei:2012:FPA, author = "O. Sarbishei and K. Radecka", booktitle = "{17th Asia and South Pacific Design Automation Conference}", title = "Fixed-point accuracy analysis of datapaths with mixed {CORDIC} and polynomial computations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "789--794", year = "2012", DOI = "https://doi.org/10.1109/ASPDAC.2012.6165061", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Optimization; Polynomials; Quantization; Signal processing algorithms; Taylor series", } @InProceedings{Sarkar:2012:VAD, author = "Sumantra Sarkar and Anindya Sundar Dhar", booktitle = "{2012 Annual IEEE India Conference (INDICON)}", title = "{VLSI} architectural design of zoomable real time spectrum analyzer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "065--069", year = "2012", DOI = "https://doi.org/10.1109/INDCON.2012.6420590", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Computers; CORDIC; Discrete Fourier transforms; Equations; Fourier Transform; Hardware; Real-time systems; sliding window; VLSI Architecture; Zoomable Spectrum", } @InBook{Schaumont:2012:CCP, author = "Patrick R. Schaumont", booktitle = "A Practical Introduction to {Hardware/Software} Codesign", title = "{CORDIC} Co-processor", publisher = "Springer US", pages = "435--455", month = oct, year = "2012", DOI = "https://doi.org/10.1007/978-1-4614-3737-6_15", ISBN = "1-4614-3737-7", ISBN-13 = "978-1-4614-3737-6", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Shang:2012:IIC, author = "Yalei Shang", title = "Implementation of {IP} Core of Fast Sine and Cosine Operation through {FPGA}", journal = "Energy Procedia", volume = "16", pages = "1253--1258", year = "2012", DOI = "https://doi.org/10.1016/j.egypro.2012.01.200", ISSN = "1876-6102", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "2012 International Conference on Future Energy, Environment, and Materials", URL = "https://www.sciencedirect.com/science/article/pii/S187661021200210X", acknowledgement = ack-nhfb, keywords = "CPLD/FPGA; Two-dimensional modeling; {CORDIC} algorithm structure", } @InProceedings{Shi:2012:DPM, author = "Jiangyi Shi and Mingxing Wang and Yinghui Tian and Zhe Yang", booktitle = "{2012 Second International Conference on Intelligent System Design and Engineering Application}", title = "Design of Plural-Multiplier Based on {CORDIC} Algorithm for {FFT} Application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1220--1223", year = "2012", DOI = "https://doi.org/10.1109/ISdea.2012.500", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Agricultural machinery; Algorithm design and analysis; CORDIC algorithm; FFT; Hardware; Pipeline processing; Pipeline structure; Plural-Multiplier; Signal processing algorithms; Simulation", } @InProceedings{Shi:2012:NDP, author = "Jiangyi Shi and Yinghui Tian and Mingxing Wang and Zhe Yang", booktitle = "{2012 Second International Conference on Intelligent System Design and Engineering Application}", title = "A Novel Design of 1024-point Pipelined {FFT} Processor Based on {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "80--83", year = "2012", DOI = "https://doi.org/10.1109/ISdea.2012.503", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; Computer architecture; cordic; Discrete Fourier transforms; Equations; FFT; Hardware; pepeline; Signal processing algorithms", } @InProceedings{Shi:2012:NFS, author = "Dongyuan Shi and Zishu He", booktitle = "{2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)}", title = "A new frequency source based on Sigma Delta and {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2288--2291", year = "2012", DOI = "https://doi.org/10.1109/CECNet.2012.6201925", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; frequency source; Modulation; Phase noise; Sigma delta modulation; Sigma Detla; Signal generators; Transfer functions; Vectors", } @InProceedings{Shreyas:2012:AER, author = "S. G. Shreyas and Leena Vachhani", booktitle = "{2012 IEEE 7th International Conference on Industrial and Information Systems (ICIIS)}", title = "Area efficient reconfigurable architecture for current control loop of a servo controller", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2012", DOI = "https://doi.org/10.1109/ICIInfS.2012.6304826", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CORDIC; Current control; Field programmable gate arrays; FOC; FPGA; Radiation detectors; Servo Controller; Space vector pulse width modulation; SVPWM; Transforms", } @Article{Sudha:2012:NMC, author = "J. Sudha and M. C. Hanumantharaju and V. Venkateswarulu and Jayalaxmi H", title = "A Novel Method for Computing Exponential Function Using {CORDIC} Algorithm", journal = "Procedia Engineering", volume = "30", pages = "519--528", year = "2012", DOI = "https://doi.org/10.1016/j.proeng.2012.01.893", ISSN = "1877-7058", ISSN-L = "1877-7058", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "International Conference on Communication Technology and System Design 2011", URL = "https://www.sciencedirect.com/science/article/pii/S1877705812009034", acknowledgement = ack-nhfb, keywords = "2D Gaussian Function; Exponential Function; FPGA; Hyperbolic {CORDIC} Algorithm", } @InProceedings{Sun:2012:CIC, author = "Chi-Chia Sun and Chun-Ying Lin and Gene-Eu Jan", booktitle = "{2012 International Symposium on Intelligent Signal Processing and Communications Systems}", title = "A configurable {IP} Core for arbitrary inverse quantized transforms with dynamic video resolutions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "640--643", year = "2012", DOI = "https://doi.org/10.1109/ISPACS.2012.6473568", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; DCIT; DCT; Discrete cosine transforms; ICT; MPEG-4 and H.264; PSNR; Quantization; Standards; Transform coding", } @Article{Vazquez:2012:RFP, author = "{\'A}lvaro V{\'a}zquez and Julio Villalba-Moreno and Elisardo Antelo and Emilio L. Zapata", title = "Redundant Floating-Point Decimal {CORDIC} Algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "61", number = "11", pages = "1551--1562", month = nov, year = "2012", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2011.217", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "99-03", MRnumber = "2983272", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2010.bib", ZMnumber = "1365.65319", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "65Y04; Adders; Approximation algorithms; carry-save arithmetic; Convergence; CORDIC algorithm; decimal arithmetic; Estimation; Hardware; Redundancy; Vectors", ZBmath = "6743799", } @InProceedings{Vinoth:2012:DID, author = "S. Vinoth and M. SathishKumar and L. Vanitha", booktitle = "{2012 International Conference on Devices, Circuits and Systems (ICDCS)}", title = "Design and implementation of demodulation technique with complex {DPLL} using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "384--388", year = "2012", DOI = "https://doi.org/10.1109/ICDCSyst.2012.6188790", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC Algorithm; DPLL; Field programmable gate arrays; Loop performance; Optimization; Pipelined Architecture; Quantization Error", } @InProceedings{Vishnoi:2012:AQO, author = "Upasna Vishnoi and Michael Meixner and Tobias G. Noll", booktitle = "{2012 IEEE International SOC Conference}", title = "An approach for quantitative optimization of highly efficient dedicated {CORDIC} macros as {SoC} building blocks", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "242--247", year = "2012", DOI = "https://doi.org/10.1109/SOCC.2012.6398355", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Capacitance; Clocks; Delay; Throughput; Wiring", } @InProceedings{Wang:2012:HPD, author = "Xiaochu Wang and Qiujun Mei", booktitle = "{2012 Third Global Congress on Intelligent Systems}", title = "High-Precision Design of {DDS} Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "386--389", year = "2012", DOI = "https://doi.org/10.1109/GCIS.2012.20", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "accumulator; Algorithm design and analysis; Clocks; cordic algorithm; DDS; Field programmable gate arrays; Frequency control; Frequency synthesizers; Read only memory; Table lookup", } @InProceedings{Xiao:2012:NCB, author = "Liyi Xiao and Hai Huang", booktitle = "{2012 International Conference on Optoelectronics and Microelectronics}", title = "A novel {CORDIC} based unified architecture for {DCT} and {IDCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "496--500", year = "2012", DOI = "https://doi.org/10.1109/ICoOM.2012.6316324", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Arrays; CORDIC; DCT/IDCT; Discrete cosine transforms; FPGA implementation; Hardware; Matrix decomposition; Microelectronics; Unified architecture", } @InProceedings{Xu:2012:FPD, author = "Qi Xu and ZheMing Duan", booktitle = "{2012 IEEE International Conference on Computer Science and Automation Engineering (CSAE)}", title = "A fixed point of {DFT\slash FFT} for {FPGA} platform", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "279--282", year = "2012", DOI = "https://doi.org/10.1109/CSAE.2012.6272597", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; butterflies; CORDIC algorithm; Digital signal processing; Discrete Fourier transforms; Field programmable gate arrays; formatting DFT/FFT; Quantization; Random access memory; Vectors", } @InProceedings{Yang:2012:CDS, author = "Bohan Yang and Dong Wang and Leibo Liu", booktitle = "{2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)}", title = "Complex division and square-root using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2464--2468", year = "2012", DOI = "https://doi.org/10.1109/CECNet.2012.6201840", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adders; Algorithm design and analysis; Complex; Computer architecture; CORDIC; Division; Field programmable gate arrays; FPGA; Hardware; Registers; Square-root", } @InProceedings{Yao:2012:DRT, author = "Xu Yao and Guangmin Sun and Wen-Yen Lin and Wen-Cheng Chou", booktitle = "{2012 International Conference on Systems and Informatics (ICSAI2012)}", title = "The design of a real-time accelerometer-based sleeping position monitoring system and its application on obstructive sleep apnea syndrome", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1061--1066", year = "2012", DOI = "https://doi.org/10.1109/ICSAI.2012.6223217", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accelerometer; Accelerometers; Accuracy; Algorithm; Body Position; CORDIC; Embedded System; Head; Monitoring; Obstructive Sleep Apnea; Real time systems; Sleep; Sleep apnea; Vectors", } @InProceedings{Yu:2012:CBD, author = "Ji-yang Yu and Dan Huang and Nan Pei and Siyang Zhao and Jian Guo and Yong Xu", booktitle = "{2012 IEEE 11th International Conference on Signal Processing}", title = "{CORDIC}-based design of matched filter weighted algorithm for pulse compression system", volume = "3", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1953--1956", year = "2012", DOI = "https://doi.org/10.1109/ICoSP.2012.6491962", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Field programmable gate arrays; FPGA; Frequency-domain analysis; Hardware; matched filter; Matched filters; pulse compression; Real-time systems; Signal processing algorithms; Signal resolution; Software algorithms; Spaceborne radar", } @InProceedings{Zheng:2012:ACC, author = "Dezhi Zheng and Shaobo Zhang and Yuming Zhang and Chen Fan", booktitle = "{2012 8th IEEE International Symposium on Instrumentation and Control Technology (ISICT) Proceedings}", title = "Application of {CORDIC} in capacitive rotary encoder signal demodulation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "61--65", year = "2012", DOI = "https://doi.org/10.1109/ISICT.2012.6291638", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Approximation methods; arctangent; capacitive; CORDIC; Electrodes; Field programmable gate arrays; rotary encoders; Signal processing algorithms; Vectors", } @InProceedings{Abubeker:2013:SPI, author = "K. M. Abubeker and Sabana Backer and Abey Mathew Varghese", booktitle = "{2013 Annual International Conference on Emerging Research Areas and 2013 International Conference on Microelectronics, Communications and Renewable Energy}", title = "Serial and parallel implementation of {CORDIC} architecture: a comparative approach", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2013", DOI = "https://doi.org/10.1109/AICERA-ICMiCR.2013.6575931", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "3; Adders; Algorithm design and analysis; CLBs; Clocks; Complex PLDs; CORDIC algorithm; Cosine and Polar-Cartesian Transformation; Hardware; Registers; Rotating and Vectoring mode; Signal processing algorithms; Sine; Spartan; Vectors; Xilinx FPGA", } @InProceedings{Agarwal:2013:FMF, author = "Ashok Agarwal and Lakshmi Boppana and Ravi Kishore Kodali", booktitle = "{IEEE 2013 Tencon --- Spring}", title = "A factorization method for {FPGA} implementation of sample rate converter for a multi-standard radio communications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "530--534", year = "2013", DOI = "https://doi.org/10.1109/TENCONSpring.2013.6584501", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CDMA2000; CIC filter; Computer architecture; CORDIC; Digital Down Converter; Field programmable gate arrays; FPGAs; GSM; Hardware; Mixers; Multiaccess communication; Spread spectrum communication; Standards; WCDMA; WiMAX802.16", } @Article{Aggarwal:2013:CBW, author = "Supriya Aggarwal and Kavita Khare", title = "{CORDIC}-based window implementation to minimise area and pipeline depth", journal = "IET Signal Processing", volume = "7", number = "5", pages = "427--435", year = "2013", DOI = "https://doi.org/10.1049/iet-spr.2012.0021", ISSN = "1751-9675 (print), 1751-9683 (electronic)", ISSN-L = "1751-9675", MRclass = "94A12", MRnumber = "3112719", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/iet-spr.2012.0021", acknowledgement = ack-nhfb, ajournal = "IET Signal Process.", eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/iet-spr.2012.0021", fjournal = "IET Signal Processing", keywords = "area delay product; Blackman window; circular CORDIC processor; coordinate rotation digital computer; CORDIC based window implementation; field programmable gate array; field programmable gate arrays; filtering; filtering theory; Hamming window; linear CORDIC processor; microrotation sequence identification; pipeline processing; pipelined CORDIC processor; scale factor; shift-add networks; signal processing; Taylor series approximation; window filtering; window functions", } @InProceedings{Aggarwal:2013:EWA, author = "Supriya Aggarwal and Kavita Khare", booktitle = "{2013 26th International Conference on VLSI Design and 2013 12th International Conference on Embedded Systems}", title = "Efficient Window-Architecture Design Using Completely Scaling-Free {CORDIC} Pipeline", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "60--65", year = "2013", DOI = "https://doi.org/10.1109/VLSID.2013.163", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; CORDIC Algorithm; Delay; FPGA Design; Hardware; Logic gates; Pipelines; Signal processing algorithms; Windowing Techniques", } @Article{Aggarwal:2013:SFH, author = "Supriya Aggarwal and Pramod Kumar Meher and Kavita Khare", title = "Scale-Free Hyperbolic {CORDIC} Processor and Its Application to Waveform Generation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "60", number = "2", pages = "314--326", year = "2013", DOI = "https://doi.org/10.1109/TCSI.2012.2215778", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "94A12", MRnumber = "3017542", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1468.94037", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "94A12; Algorithm design and analysis; Approximation methods; Complexity theory; Convergence; Direct digital synthesis; scale-free CORDIC; sigmoid functions; Signal generators; Taylor series; Trajectory; waveform generator", ZBmath = "7386040", } @InProceedings{Ahin:2013:CNF, author = "Suhap Ahin and Adnan Kavak and Mehmet Ali {\c{C}}avu Lu", booktitle = "{2013 21st Signal Processing and Communications Applications Conference (SIU)}", title = "Comparison of number formats on {FPGA}-based {OFDM} modem architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2013", DOI = "https://doi.org/10.1109/SIU.2013.6531480", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific integrated circuits; Conferences; CORDIC; DSP; FFT; Field programmable gate arrays; FPGA; IFFT; Modems; OFDM; Software; VHDL; Wimax; WiMAX; Wireless systems", } @InProceedings{Aulery:2013:SAN, author = "A. Aulery and D. Dallet and B. {Le Gal} and N. Deltimple and D. Belot and E. Kerherve", booktitle = "{2013 IEEE 11th International New Circuits and Systems Conference (NEWCAS)}", title = "Study and analysis of a new implementation of a mixed-signal {Cartesian} feedback for a low power zero-{IF} {WCDMA} transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2013", DOI = "https://doi.org/10.1109/NEWCAS.2013.6573638", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; digital design; Libraries; Multiaccess communication; PA linearization; Power demand; Silicon; Spread spectrum communication; Vectors", } @InProceedings{Bangqiang:2013:BLI, author = "Liu Bangqiang and He Ling and Yan Xiao", booktitle = "{2013 IEEE 9th International Colloquium on Signal Processing and its Applications}", title = "Base-{$N$} logarithm implementation on {FPGA} for the data with random decimal point positions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "17--20", year = "2013", DOI = "https://doi.org/10.1109/CSPA.2013.6530006", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC algorithm; decimal point positions; Educational institutions; Electronic mail; Field programmable gate arrays; IP networks; Logarithm; Signal processing; Signal processing algorithms", } @InProceedings{Cervantes-Lozano:2013:VAD, author = "Pedro Cervantes-Lozano and Luis F. Gonzalez-Perez and Andres D. Garcia-Garcia", booktitle = "{2013 International Conference on Reconfigurable Computing and FPGAs (ReConFig)}", title = "A {VLSI} architecture for the {$ Q R $} decomposition based on the {MCGR} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2013", DOI = "https://doi.org/10.1109/ReConFig.2013.6732267", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arrays; Complexity theory; CORDIC processors; Indexes; Matrix decomposition; MIMO systems; Modified Complex Givens Rotations; Program processors; QR decomposition; systolic arrays; Very large scale integration; VLSI architectures", } @Article{Chen:2013:CTG, author = "Wei-Da Chen and Yin-Tsung Hwang", title = "A Constant Throughput Geometric Mean Decomposition Scheme Design for Wireless {MIMO} Precoding", journal = j-IEEE-TRANS-VEH-TECHNOL, volume = "62", number = "5", pages = "2080--2090", year = "2013", CODEN = "ITUTA6", DOI = "https://doi.org/10.1109/TVT.2013.2238686", ISSN = "0018-9545 (print), 1939-9359 (electronic)", ISSN-L = "0018-9545", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Vehicular Technology", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=25", keywords = "Algorithm design and analysis; Complex-valued singular value decomposition (SVD); Complexity theory; COordinate Rotation DIgital Computer (CORDIC); geometric mean decomposition (GMD); Hardware; joint transceiver; Matrix converters; Matrix decomposition; MIMO; multiple-input multiple-output (MIMO); precoding; Signal detection", } @InProceedings{Congiu:2013:SHC, author = "Andrea Congiu and Andrea Picciau and Massimo Barbaro and Emanuele Bodano", booktitle = "{Proceedings of the 2013 9th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME)}", title = "Scalable hybrid {CORDIC-LUT} architectures for {CG-FFT} processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "105--108", year = "2013", DOI = "https://doi.org/10.1109/PRIME.2013.6603119", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Indexes; Read only memory; Registers; Scalability; Signal processing algorithms", } @Article{deDinechin:2013:FPT, author = "Florent de Dinechin and Matei Istoan and Guillaume Sergent", title = "Fixed-point trigonometric functions on {FPGAs}", journal = j-COMP-ARCH-NEWS, volume = "41", number = "5", pages = "83--88", month = dec, year = "2013", CODEN = "CANED2", DOI = "https://doi.org/10.1145/2641361.2641375", ISSN = "0163-5964 (print), 1943-5851 (electronic)", ISSN-L = "0163-5964", bibdate = "Mon Aug 18 17:12:43 MDT 2014", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/sigarch.bib", abstract = "Three approaches for computing sines and cosines on FPGAs are studied in this paper, with a focus of high-throughput pipelined architecture, and state-of-the-art implementation techniques. The first approach is the classical CORDIC iteration, for which we suggest a reduced iteration technique and fine optimizations in datapath width and latency. The second is an ad-hoc architecture specifically designed around trigonometric identities. The third uses a generic table- and DSP-based polynomial approximator. These three architectures are implemented and compared in the FloPoCo framework.", acknowledgement = ack-nhfb, fjournal = "ACM SIGARCH Computer Architecture News", journal-URL = "https://dl.acm.org/loi/sigarch", keywords = "CORDIC; cosine; sine", } @InProceedings{Ferhat-Taleb:2013:CID, author = "F. Alim. Ferhat-Taleb and K. Messaoudi and L. Ait Mohamed and O. Kerdjidj and S. Seddiki", booktitle = "{2013 Signal Processing: Algorithms, Architectures, Arrangements, and Applications (SPA), 26--28 September 2013, Poznan, Poland}", title = "{CORDIC} {IP} description with {Handel-C} and {VHDL} languages", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "332--336", year = "2013", ISBN = "83-62065-17-6", ISBN-13 = "978-83-62065-17-2", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/6754324/", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC algorithm; Field programmable gate arrays; FPGA.; Handel-C; Image edge detection; IP networks; Signal processing algorithms; Transforms; Trigonometric functions; Vectors; VHDL", } @InBook{Geetha:2013:SRB, author = "K. S. Geetha and Gayathri Jeyaram and A. Bhagyashree", booktitle = "Proceedings of International Conference on {VLSI}, Communication, Advanced Devices, Signals \& Systems and Networking {(VCASAN-2013)}", title = "Selective Rotation-Based {CORDIC} Architecture for High-Speed Applications", publisher = "Springer India", pages = "317--323", year = "2013", DOI = "https://doi.org/10.1007/978-81-322-1524-0_39", ISBN = "81-322-1524-9", ISBN-13 = "978-81-322-1524-0", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Guerrero-Ramirez:2013:HDE, author = "Jorge E. Guerrero-Ram{\'\i}rez and Jaime Velasco-Medina and Julio C. Arce-Clavijo", booktitle = "{2013 IEEE 4th Latin American Symposium on Circuits and Systems (LASCAS)}", title = "Hardware design of an eigensolver based on the {$ Q R $} method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2013", DOI = "https://doi.org/10.1109/LASCAS.2013.6519065", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Arrays; CORDIC; Eigenvalue computation; Eigenvalues and eigenfunctions; Givens rotations; Hardware; Matrix decomposition; QR method; Symmetric matrices; Systolic Array; Vectors", } @InProceedings{Han:2013:FID, author = "Bing Han and Zengli Yang and Yahong Rosa Zheng", booktitle = "{2013 IEEE International Conference on Communications (ICC)}", title = "{FPGA} implementation of {$ Q R $} decomposition for {MIMO-OFDM} using four {CORDIC} cores", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4556--4560", year = "2013", DOI = "https://doi.org/10.1109/ICC.2013.6655287", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arrays; Clocks; Matrix decomposition; Throughput; Vectors", } @Article{Huang:2013:CBF, author = "Hai Huang and Liyi Xiao", title = "{CORDIC} Based Fast Radix-2 {DCT} Algorithm", journal = j-IEEE-SIGNAL-PROCESS-LETT, volume = "20", number = "5", pages = "483--486", year = "2013", CODEN = "ISPLEM", DOI = "https://doi.org/10.1109/LSP.2013.2252616", ISSN = "1070-9908 (print), 1558-2361 (electronic)", ISSN-L = "1070-9908", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97", keywords = "Algorithm design and analysis; Computational complexity; Coordinate rotation digital computer (CORDIC); Digital arithmetic; discrete cosine transformation (DCT); Discrete cosine transforms; fast radix-2 algorithm; Very large scale integration", } @Article{Huang:2013:CBU, author = "Hai Huang and Liyi Xiao and Jiaming Liu", title = "{CORDIC}-Based Unified Architectures for Computation of {DCT\slash IDCT\slash DST\slash IDST}", journal = j-CSSP, volume = "33", number = "3", pages = "799--814", month = oct, year = "2013", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-013-9661-9", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InProceedings{Ibrahim:2013:HIM, author = "Muhammad Nasir Ibrahim and Chen Kean Tack and Mariani Idroas and Siti Noormaya Bilmas and Zuraimi Yahya", booktitle = "{2013 International Conference on Parallel and Distributed Systems}", title = "Hardware Implementation of Math Module Based on {CORDIC} Algorithm Using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "628--632", year = "2013", DOI = "https://doi.org/10.1109/ICPADS.2013.112", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "16x2 character LCD; 4x4 matrix keypad; Algorithm design and analysis; Computer architecture; CORDIC; Equations; Field programmable gate arrays; FPGA; Hardware; Hardware design languages; Mathematical model; Verilog HDL", } @InBook{Jain:2013:CAB, author = "Anita Jain and Kavita Khare", booktitle = "{VLSI} Design and Test", title = "{3D} {CORDIC} Algorithm Based Cartesian to Spherical Coordinate Converter", publisher = pub-SV, address = pub-SV:adr, pages = "337--344", year = "2013", DOI = "https://doi.org/10.1007/978-3-642-42024-5_40", ISBN = "3-642-42024-9", ISBN-13 = "978-3-642-42024-5", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Kalyani:2013:RFU, author = "K. Kalyani and D. Sellathambi and S. Rajaram", booktitle = "{2013 International Conference on Information Communication and Embedded Systems (ICICES)}", title = "Reconfigurable {FFT} using {CORDIC} based architecture for {MIMO-OFDM} receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "670--675", year = "2013", DOI = "https://doi.org/10.1109/ICICES.2013.6508348", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "COordinate Rotation digital Computer (CORDIC); Discrete Fourier transforms; Fast Fourier Transform (FFT); MIMO; Multiple-Input Multiple-Output (MIMO) --- Orthogonal Frequency-Division Multiplexing (OFDM); OFDM; Receivers; Signal processing algorithms; Standards; Wireless LAN; Wireless Local Area Network(WLAN)", } @Article{Kamboh:2013:CFP, author = "Hamid Mehmood Allah Ditta Kamboh and Shoab Ahmed Khan", title = "{IS-CORDIC}: a fixed-point inverse recoded single iteration {CORDIC} architecture", journal = j-INT-J-ELECTRON, volume = "101", number = "6", pages = "789--807", month = jun, year = "2013", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2013.803432", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @InProceedings{Kir:2013:FBI, author = "Burcu Kir and Mehmet Ali Altuncu and {\c{S}}uhap Sahin", booktitle = "{2013 The International Conference on Technological Advances in Electrical, Electronics and Computer Engineering (TAEECE)}", title = "{FPGA} based implementation of {CORDIC} using different number format", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "444--448", year = "2013", DOI = "https://doi.org/10.1109/TAEECE.2013.6557315", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Digital signal processing; Field programmable gate arrays; FPGA; IEEE-754; IQ-Math; MATLAB; Table lookup", } @Article{KumarM:2013:HPH, author = "Shanmuga {Kumar M.} and Mohamed {Asan Basiri M.} and Noor {Mahammad Sk}", title = "High Precision and High Speed Handheld Scientific Calculator Design Using Hardware based {CORDIC} Algorithm", journal = "Procedia Engineering", volume = "64", pages = "56--64", year = "2013", DOI = "https://doi.org/10.1016/j.proeng.2013.09.076", ISSN = "1877-7058", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "International Conference on Design and Manufacturing (IConDM2013)", URL = "https://www.sciencedirect.com/science/article/pii/S1877705813015907", acknowledgement = ack-nhfb, keywords = "Angle convergence; Angle Precision; CORDIC Structure; Digital Signal processing and Hybrid {CORDIC} algorithm; Scientific calculator; Transcendental mathematical functions", } @Article{Lakshmi:2013:VAP, author = "B. Lakshmi and A. S. Dhar", title = "{VLSI} architecture for parallel radix-4 {CORDIC}", journal = j-MICROPROC-MICROSYS, volume = "37", number = "1", pages = "79--86", year = "2013", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2012.12.001", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933112001925", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "CORDIC algorithm; Parallel radix-4; Redundant arithmetic", } @InProceedings{Liao:2013:PEP, author = "Wei-Ting Liao and Wen-Yen Lin and Wen-Cheng Cheng and Kin Fong Lei and Ming-Yih Lee", booktitle = "{2013 International Symposium on Biometrics and Security Technologies}", title = "Precision Enhancement and Performance Evaluation of a {CORDIC}-based Tilting Angle Identification Algorithm for Three-Axis Accelerometers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "187--192", year = "2013", DOI = "https://doi.org/10.1109/ISBAST.2013.33", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "2D CORDIC; accelerometer; Accelerometers; algorithm; Algorithm design and analysis; Clocks; Gravity; inclination sensing; Mathematical model; Real-time systems; Tilting angles; Vectors", } @InProceedings{Lin:2013:ITC, author = "Kuan Jen Lin and Chien Chih Hou", booktitle = "{2013 IEEE 2nd Global Conference on Consumer Electronics (GCCE)}", title = "Implementation of trigonometric custom functions hardware on embedded processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "155--157", year = "2013", DOI = "https://doi.org/10.1109/GCCE.2013.6664782", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; custom instruction; embedded processor; Field programmable gate arrays; Hardware; Signal processing algorithms; Software; Software algorithms; trigonometric functions; Vectors", } @InProceedings{Liu:2013:DCL, author = "Yuxian Liu and Chunhua He and Dachuan Liu and Zhenchuan Yang and Guizhen Yan", booktitle = "{The 8th Annual IEEE International Conference on Nano/Micro Engineered and Molecular Systems}", title = "Digital closed-loop driver design of micromechanical gyroscopes based on coordinated rotation digital computer algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1145--1148", year = "2013", DOI = "https://doi.org/10.1109/NEMS.2013.6559924", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Closed Loop; CORDIC algorithm; Demodulation; Field programmable gate arrays; Force; Gyroscopes; LMS; Mathematical model; MEMS vibratory gyroscope; Micromechanical devices; Phase locked loops", } @Article{Liu:2013:MCF, author = "Yidong Liu and Lihang Fan and Tieying Ma", title = "A Modified {CORDIC} {FPGA} Implementation for Wave Generation", journal = j-CSSP, volume = "33", number = "1", pages = "321--329", month = aug, year = "2013", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-013-9638-8", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InProceedings{Lu:2013:CTL, author = "Xinying Lu and Yu Zhang and Zhengqi Zheng", booktitle = "{2013 International Conference on Computational and Information Sciences}", title = "Carrier Tracking Loop Improvement in a New Indoor Positioning System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1388--1391", year = "2013", DOI = "https://doi.org/10.1109/ICCIS.2013.367", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Carrier discriminator; Carrier tracking loop; CORDIC algorithm; Global Positioning System; Hardware; Indoor positioning; Receivers; Synchronization; Tracking loops; Transmitters", } @InProceedings{Malashri:2013:LPM, author = "A. Malashri and C. Paramasivam", booktitle = "{2013 International Conference on Information Communication and Embedded Systems (ICICES)}", title = "Low power and memory efficient {FFT} architecture using modified {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1041--1046", year = "2013", DOI = "https://doi.org/10.1109/ICICES.2013.6508309", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; FFT; Generators; Low power; Memory management; Random access memory; Registers; Vectors; VLSI", } @InProceedings{Malik:2013:UCB, author = "Jamshaid Sarwar Malik and Ahmed Hemani and N. D. Gohar", booktitle = "{2013 IEEE 24th International Conference on Application-Specific Systems, Architectures and Processors}", title = "Unifying {CORDIC} and {Box--Muller} algorithms: an accurate and efficient {Gaussian Random Number} generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "277--280", year = "2013", DOI = "https://doi.org/10.1109/ASAP.2013.6567590", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Box-Muller; CORDIC; Field programmable gate arrays; Gaussian; Generators; Hardware; Normal; Random Number Generator; Table lookup", } @InProceedings{Manica:2013:PAA, author = "Jennifer Manica and Roberto Passerone and Luca Rizzon", booktitle = "{Proceedings of the 2013 9th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME)}", title = "Power-aware architectural exploration of the {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "333--336", year = "2013", DOI = "https://doi.org/10.1109/PRIME.2013.6603179", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Clocks; Computer architecture; Pipelines; Power demand; Registers; Throughput", } @Article{Meher:2013:CDF, author = "Pramod Kumar Meher and Sang Yoon Park", title = "{CORDIC} Designs for Fixed Angle of Rotation", journal = j-IEEE-TRANS-VLSI-SYST, volume = "21", number = "2", pages = "217--228", year = "2013", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2012.2187080", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Accuracy; Adders; Complexity theory; Coordinate rotation digital computer (CORDIC); digital arithmetic; Digital signal processing; digital signal processing (DSP) chip; Optimization; Registers; Vectors; VLSI", } @InProceedings{Moroz:2013:ISF, author = "Leonid Moroz and Taras Mykytiv and Martyn Herasym", booktitle = "{East-West Design \& Test Symposium (EWDTS 2013)}", title = "Improved Scaling-Free {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2013", DOI = "https://doi.org/10.1109/EWDTS.2013.6673174", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer graphics; CORDIC; Equations; Mathematical model; Microcontrollers; Multimedia communication; Numerical methods; Scaling-Free; Signal processing algorithms; Vectors", } @InProceedings{Naresh:2013:AEM, author = "V. Naresh and B. Venkataramani and R. Raja", booktitle = "{2013 International Conference on Computer Communication and Informatics}", title = "An area efficient multiplexer based {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2013", DOI = "https://doi.org/10.1109/ICCCI.2013.6466264", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computers; CORDIC; Field programmable gate arrays; FPGA; Informatics; multiplexer; Multiplexing; Pipelines; pipelining; rotation mode; Vectors", } @Article{Neji:2013:FIC, author = "Nihel Neji and Anis Boudabous and Wajdi Kharrat and Nouri Masmoudi", title = "{FPGA} Implementation of the {CORDIC} Algorithm for Fingerprints Recognition Systems", journal = j-INT-J-COMP-APPL, volume = "63", number = "??", pages = "39--45", month = feb, year = "2013", CODEN = "????", DOI = "https://doi.org/10.5120/10473-5204", ISSN = "0975-8887", ISSN-L = "0975-8887", bibdate = "Fri Jan 24 08:53:14 MST 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/intjcompappl.bib", URL = "https://www.ijcaonline.org/archives/volume63/number6/10473-5204/", acknowledgement = ack-nhfb, ajournal = "Intern. J. of Computer Applications", articleno = "6", fjournal = "International Journal of Computer Applications", journal-URL = "https://www.ijcaonline.org/", } @InProceedings{Prasad:2013:FIP, author = "N Prasad and Ayas Kanta Swain and K. K. Mahapatra", booktitle = "{2013 International Conference on Circuits, Power and Computing Technologies (ICCPCT)}", title = "{FPGA} implementation of pipelined {CORDIC} based quadrature direct digital synthesizer with improved {SFDR}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "756--760", year = "2013", DOI = "https://doi.org/10.1109/ICCPCT.2013.6529048", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; DDS; Field programmable gate arrays; FPGA; Frequency conversion; Frequency synthesizers; Indexes; NCO; Noise; Quadrature outputs; SFDR; Tuning", } @Article{Ray:2013:CBV, author = "Kailash Chandra Ray and Anindya Sundar Dhar", title = "{CORDIC}-Based {VLSI} Architecture for Implementing {Kaiser--Bessel} Window in Real Time Spectral Analysis", journal = "Journal of Signal Processing Systems", volume = "74", number = "2", pages = "235--244", month = jun, year = "2013", DOI = "https://doi.org/10.1007/s11265-013-0781-z", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @Article{Sanchez-Romero:2013:AAS, author = "Jose-Luis Sanchez-Romero and Antonio Jimeno-Morenilla and Rafael Molina-Carmona and Jose Perez-Martinez", title = "An approach to the application of shift-and-add algorithms on engineering and industrial processes", journal = j-MATH-COMP-MODELLING, volume = "57", number = "7", pages = "1800--1806", year = "2013", CODEN = "MCMOEG", DOI = "https://doi.org/10.1016/j.mcm.2011.11.062", ISSN = "0895-7177 (print), 1872-9479 (electronic)", ISSN-L = "0895-7177", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Public Key Services and Infrastructures EUROPKI-2010-Mathematical Modelling in Engineering \& Human Behaviour 2011", URL = "https://www.sciencedirect.com/science/article/pii/S0895717711007473", acknowledgement = ack-nhfb, fjournal = "Mathematical and computer modelling", keywords = "CAD/CAM; Engineering; Shift-and-add algorithms", } @InProceedings{Saravanan:2013:SCG, author = "P. Saravanan and S. Ramasamy", booktitle = "{2013 Fourth International Conference on Computing, Communications and Networking Technologies (ICCCNT)}", title = "Sine\slash cos generator for direct digital frequency synthesizer using pipelined {CORDIC} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2013", DOI = "https://doi.org/10.1109/ICCCNT.2013.6726502", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; ASIC; Computer architecture; CORDIC; DDFS; Equations; FPGA; Generators; Mathematical model; Pipelined processor; Signal processing algorithms; sine and cosine generator; Vectors", } @InProceedings{Singh:2013:CQS, author = "Narendra Bahadur Singh and Rupesh Kumar Dutta and Prashant Singh", booktitle = "{2013 International Conference on Advanced Electronic Systems (ICAES)}", title = "{CORDIC} for {QAM} and {AM} signal generation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "175--179", year = "2013", DOI = "https://doi.org/10.1109/ICAES.2013.6659386", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; AM; CORDIC; Data models; Equations; Modelsim and Xilinx; QAM; Quadrature amplitude modulation; RTL; Signal processing algorithms; Simulation; Vectors; Verilog", } @InProceedings{Sun:2013:FIP, author = "Chi-Chia Sun and Juergen Goetze", booktitle = "{2013 International Symposium on Intelligent Signal Processing and Communication Systems}", title = "{FPGA} implementation of parallel unitary-rotation {Jacobi} {EVD} method based on Network-on-Chip", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2013", DOI = "https://doi.org/10.1109/ISPACS.2013.6704512", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Calculators; CORDIC; EVD; Field programmable gate arrays; FPGA; Jacobi Method; Jacobian matrices; Multiplexing; NoC", } @InProceedings{Sunny:2013:QDM, author = "Sona Sunny and Jaison Varghese John and T. J. Apen", booktitle = "{2013 Third International Conference on Advances in Computing and Communications}", title = "Quadrature Detection Methods for {FM} Demodulation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "433--436", year = "2013", DOI = "https://doi.org/10.1109/ICACC.2013.92", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "ARCTAN; Baseband; CORDIC; Demodulation; FM demodulation; Frequency shift keying; MATLAB; Receivers; Signal to noise ratio; SNR; Space vehicles; telecomand receiver", } @Article{Tolmachev:2013:MFP, author = "Alex Tolmachev and Igor Tselniker and Maxim Meltsin and Itzik Sigron and David Dahan and Aviv Shalom and Moshe Nazarathy", title = "Multiplier-Free Phase Recovery With Polar-domain Multisymbol-Delay-Detector", journal = j-LIGHTWAVE-TECHNOL, volume = "31", number = "23", pages = "3638--3650", year = "2013", CODEN = "JLTEDG", DOI = "https://doi.org/10.1109/JLT.2013.2283635", ISSN = "0733-8724 (print), 1558-2213 (electronic)", ISSN-L = "0733-8724", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Lightwave Technology", keywords = "Adders; Approximation algorithms; Approximation methods; Complexity theory; CORDIC; FPGA; hardware parallelization; multisymbol delay detection (MSDD); multisymbol phase estimation (MSPE); Optical noise; optically coherent detection; phase estimation; phase recovery; Phase shift keying; real-time demonstration; Signal to noise ratio", } @Article{Wong:2013:FRI, author = "C. C. Wong and C. C. Liu", title = "{FPGA} realisation of inverse kinematics for biped robot based on {CORDIC}", journal = j-ELECT-LETTERS, volume = "49", number = "5", pages = "332--334", year = "2013", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el.2012.4280", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/el.2012.4280", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/el.2012.4280", fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", keywords = "field programmable gate arrays, legged locomotion, robot kinematics, inverse kinematics, biped robot, FPGA realisation structure, angle equation, inverse tangent function, CORDIC operator, circular vectoring, hyperbolic vectoring, FPGA chip, software realisation", } @InProceedings{Yao:2013:RHP, author = "Rui Yao and Shenghua Dai and Zhengjiao Li", booktitle = "{2013 IEEE International Conference on Intelligent Rail Transportation Proceedings}", title = "Research of {25 Hz} phase sensitive track circuit signal based on {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "159--162", year = "2013", DOI = "https://doi.org/10.1109/ICIRT.2013.6696286", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "25 Hz Phase Sensitive Track Circuit; Algorithm design and analysis; ARM; CORDIC; Educational institutions; Floating- Point Calculation; Inverters; MATLAB; Power supplies; Rail transportation; Vectors", } @InProceedings{Yasodai:2013:EIR, author = "A. Yasodai and A. V. Ramprasad", booktitle = "{2013 IEEE Recent Advances in Intelligent Computational Systems (RAICS)}", title = "An efficient implementation of rotational radix-4 {CORDIC} based {FFT} processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "37--42", year = "2013", DOI = "https://doi.org/10.1109/RAICS.2013.6745443", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Delays; FPGA; Generators; latency; memory less systems; Memory management; Radix-4; Read only memory; Signal processing algorithms; speed; throughput; twiddle factor; Vectors", } @Article{Yu:2013:NDC, author = "Wei-Han Yu and Chak-Fong Cheang and Pui-In Mak and Weng-Fai Cheng and Ka-Fai Un and U-Wai Lok and Rui P. Martins", title = "A Nonrecursive Digital Calibration Technique for Joint Elimination of Transmitter and Receiver {I/Q} Imbalances With Minimized Add-On Hardware", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "60", number = "8", pages = "462--466", year = "2013", DOI = "https://doi.org/10.1109/TCSII.2013.2268412", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Algorithm; Art; Calibration; calibration; coordinate rotation digital computer (CORDIC); Detectors; Digital computers; Hardware; I/Q imbalance; local oscillator (LO); Local oscillators; receiver (RX); Receivers; Switches; transceiver; Transceivers; transmitter (TX); Transmitters", } @InBook{Zhang:2013:DIN, author = "Jianfeng Zhang and Wei Ding and Hengzhu Liu", booktitle = "Computer Engineering and Technology", title = "Design and Implementation of a Novel Entirely Covered {K 2} {CORDIC}", publisher = pub-SV, address = pub-SV:adr, pages = "1--8", year = "2013", DOI = "https://doi.org/10.1007/978-3-642-41635-4_1", ISBN = "3-642-41635-7", ISBN-13 = "978-3-642-41635-4", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Zhou:2013:NMG, author = "Jinglong Zhou", booktitle = "{2013 International Conference on Communications, Circuits and Systems (ICCCAS)}", title = "A new method to generate twiddle factor using {CORDIC} based radix-4 {FFT} butterfly", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "505--508", year = "2013", DOI = "https://doi.org/10.1109/ICCCAS.2013.6765394", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Computer architecture; Equations; Hardware; Simulation; Vectors", } @InProceedings{Aggarwal:2014:RCA, author = "Supriya Aggarwal and Pramod K. Meher", booktitle = "{2014 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Reconfigurable {CORDIC} architectures for multi-mode and multi-trajectory operations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2490--2494", year = "2014", DOI = "https://doi.org/10.1109/ISCAS.2014.6865678", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Multiplexing; Pipelines; Program processors; Table lookup; Trajectory; Vectors", } @InBook{Andreev:2014:EHI, author = "Andrey Andreev and Evgueni Doukhnitch and Vitaly Egunov and Dmitriy Zharikov and Oleg Shapovalov and Sergey Artuh", booktitle = "Knowledge-Based Software Engineering", title = "Evaluation of Hardware Implementations of {CORDIC-Like} Algorithms in {FPGA} Using {OpenCL} Kernels", publisher = "Springer International Publishing", pages = "228--242", year = "2014", DOI = "https://doi.org/10.1007/978-3-319-11854-3_20", ISBN = "3-319-11854-4", ISBN-13 = "978-3-319-11854-3", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Bag:2014:DDM, author = "Joyashree Bag and Subhashis Roy and P. K. Dutta and Subir Kumar Sarkar", title = "Design of a {DPSK} Modem Using {CORDIC} Algorithm and Its {FPGA} Implementation", journal = "IETE Journal of Research", volume = "60", number = "5", pages = "355--363", month = sep, year = "2014", DOI = "https://doi.org/10.1080/03772063.2014.961979", ISSN = "0974-780X", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Bansal:2014:MER, author = "Puneet Bansal and B. S. Dhaliwal and S. S. Gill", booktitle = "{2014 International Conference on Green Computing Communication and Electrical Engineering (ICGCCEE)}", title = "Memory-efficient Radix-2 {FFT} processor using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2014", DOI = "https://doi.org/10.1109/ICGCCEE.2014.6922202", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Decoding; DFT; FFT; Hardware; Memory management; Radix; Random access memory; Real-time systems; Signal processing algorithms; Synthesis", } @InProceedings{Chinnathambi:2014:FIF, author = "M. Chinnathambi and N. Bharanidharan and S. Rajaram", booktitle = "{2014 International Conference on Communication and Network Technologies}", title = "{FPGA} implementation of fast and area efficient {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "228--232", year = "2014", DOI = "https://doi.org/10.1109/CNT.2014.7062760", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Clocks; CORDIC algorithm; Delays; Field programmable gate arrays; FPGA; Multiplexer; Multiplexing; Pipeline processing; Pipelining; Sine/Cosine; Unrolled CORDIC; Vectors", } @Article{Chu:2014:ESI, author = "Chun-Yuan Chu and I-Wei Lai and Yi-Yao Lan and Tzi-Dar Chiueh", title = "Efficient Sequential Integer {CFO} and Sector Identity Detection for {LTE} Cell Search", journal = "IEEE Wireless Communications Letters", volume = "3", number = "4", pages = "389--392", year = "2014", DOI = "https://doi.org/10.1109/LWC.2014.2320753", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; cell search; Computer architecture; coordinate rotation digital computer (CORDIC); Correlation; Hardware; integer carrier frequency offset (CFO); Long Term Evolution; LTE; Microprocessors; non-coherent detection; primary synchronization signal (PSS); sequential integer CFO and sector identity detection (SISID); Synchronization; Zadoff--Chu sequence", } @InProceedings{Clapa:2014:FDC, author = "Jakub C{\l}apa and Henryk B{\l}asi{\'n}ski and Kamil Grabowski and Przemys{\l}aw S{\k{e}}kalski", booktitle = "{2014 Proceedings of the 21st International Conference Mixed Design of Integrated Circuits and Systems (MIXDES)}", title = "A fisheye distortion correction algorithm optimized for hardware implementations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "415--419", year = "2014", DOI = "https://doi.org/10.1109/MIXDES.2014.6872232", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "barrel distortion; Cameras; Computer architecture; CORDIC; distortion correction; Field programmable gate arrays; fisheye lens; FPGA; Hardware; Lenses; Real-time systems; real-time video processing; Vectors", } @InProceedings{Deng:2014:LLH, author = "Lingxuan Deng and Junshe An", booktitle = "{2014 IEEE Symposium on Computer Applications and Communications}", title = "A Low Latency High-Throughput Elementary Function Generator Based on Enhanced Double Rotation {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "125--130", year = "2014", DOI = "https://doi.org/10.1109/SCAC.2014.33", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; ASIC; Computer architecture; coprocessor; Coprocessors; CORDIC; double rotation; elementary function; Field programmable gate arrays; FPGA; Hardware; redundant arithmetic; signed-digit; Vectors", } @InProceedings{El-Motaz:2014:CFF, author = "Mohammed A. El-Motaz and Omar A. Nasr and Karim Osama", booktitle = "{2014 International Wireless Communications and Mobile Computing Conference (IWCMC)}", title = "A {CORDIC-friendly} {FFT} architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1087--1092", year = "2014", DOI = "https://doi.org/10.1109/IWCMC.2014.6906506", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; COordinate Rotation DIgital Computer (CORDIC); Equations; Fast Fourier Transform (FFT); Gain; Hardware; Mathematical model; Read only memory; Signal processing algorithms", } @InProceedings{Exel:2014:TIC, author = "Reinhard Exel and Thomas Bigler and Thilo Sauter and Paolo Ferrari and Mattia Rizzi and Alessandra Flammini", booktitle = "{2014 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings}", title = "Timestamping of {IEEE 802.15.4} {CSS} by {CORDIC}-based Chirp interpolation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "604--609", year = "2014", DOI = "https://doi.org/10.1109/I2MTC.2014.6860815", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cascading style sheets; Chirp; Correlation; Delays; IEEE 802.15 Standards; Synchronization; Wireless sensor networks", } @InProceedings{Fu:2014:MMC, author = "Qimua Fu and Dong Wang and Xiaoming Ding", booktitle = "{2014 12th International Conference on Signal Processing (ICSP)}", title = "Multi-mode {CORDIC} processor on a dynamically reconfigurable array", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "419--424", year = "2014", DOI = "https://doi.org/10.1109/ICOSP.2014.7015040", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Arrays; CORDIC; Equations; FPGA; Heuristic algorithms; Mathematical model; PEA; reconfigurable; Vectors", } @InProceedings{G:2014:CBH, author = "Esakkirajan G and Annadurai C", booktitle = "{2014 International Conference on Communication and Signal Processing}", title = "{CORDIC} based high speed {DCT} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1649--1652", year = "2014", DOI = "https://doi.org/10.1109/ICCSP.2014.6950128", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computers; Decorrelation; Discrete Cosine Transformation (DCT); Discrete cosine transforms; Field programmable gate arrays; MATLAB", } @InProceedings{Huang:2014:CBFa, author = "Hai Huang and Bo Wu and Weidong Wang and Tianyang Gao", booktitle = "{International Conference on Software Intelligence Technologies and Applications \& International Conference on Frontiers of Internet of Things 2014}", title = "{CORDIC}-based fast radix-2 {DST} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "246--249", year = "2014", DOI = "https://doi.org/10.1049/cp.2014.1569", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; DST; fast algorithm; VLSI", } @Article{Huang:2014:CBFb, author = "Hai Huang and Liyi Xiao", title = "{CORDIC} based fast algorithm for power-of-two point {DCT} and its efficient {VLSI} implementation", journal = j-MICROELECT-J, volume = "45", number = "11", pages = "1480--1488", year = "2014", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2014.07.001", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0026269214002201", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "Coordinate rotation digital computer (CORDIC); Discrete cosine transform (DCT); Linear array; Very large-scale integration (VLSI) design", } @InProceedings{Huang:2014:CSE, author = "Yanxiang Huang and Meng Li and Chunshu Li and Peter Debacker and Liesbet {Van der Perre}", booktitle = "{2014 IEEE Workshop on Signal Processing Systems (SiPS)}", title = "Computation-skip error resilient scheme for recursive {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2014", DOI = "https://doi.org/10.1109/SiPS.2014.6986061", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation methods; Clocks; Energy consumption; Hardware; Latches; Monitoring; Timing", } @InProceedings{Huang:2014:NML, author = "Shen-Jui Huang and Sau-Gee Chen", booktitle = "{2014 International Symposium on Integrated Circuits (ISIC)}", title = "A new memoryless and low-latency {FFT} rotator architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--183", year = "2014", DOI = "https://doi.org/10.1109/ISICIR.2014.7029558", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Complexity theory; CORDIC; Fast Fourier Transform (FFT); IEEE 802.15 Standards; Memory architecture; Registers; Rotator; Throughput; twiddle factor", } @Article{Hwang:2014:LCG, author = "Yin-Tsung Hwang and Wei-Da Chen and Cheng-Ru Hong", title = "A Low Complexity Geometric Mean Decomposition Computing Scheme and Its High Throughput {VLSI} Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "61", number = "4", pages = "1170--1182", year = "2014", DOI = "https://doi.org/10.1109/TCSI.2013.2285893", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Complexity theory; CORDIC; geometric mean decomposition (GMD); Jacobian matrices; Matrix converters; Matrix decomposition; MIMO; Multiple Inputs Multiple Outputs (MIMO); precoding; singular value decomposition (SVD); Throughput; Transceivers", } @InProceedings{Kalra:2014:CBB, author = "Parichay Kalra and Anand Kukde and B. Venkataramani", booktitle = "{2014 International Conference on Computer and Communication Technology (ICCCT)}", title = "{CORDIC} based {BPSK} modulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "335--339", year = "2014", DOI = "https://doi.org/10.1109/ICCCT.2014.7001515", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Binary phase shift keying; BPSK; CORDIC; Demodulation; FPGA; Multiplexing; Nickel; QPSK; Universal Modulator; Vectors", } @InProceedings{Kalra:2014:CBU, author = "Lt. Parichay Kalra and Naresh Vemishetty and B. Venkatramani", booktitle = "{2014 Recent Advances in Engineering and Computational Sciences (RAECS)}", title = "{CORDIC} based Universal Modulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2014", DOI = "https://doi.org/10.1109/RAECS.2014.6799562", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Field programmable gate arrays; FPGA; Frequency modulation; Multiplexing; Phase modulation; Universal Modulator; Vectors", } @InProceedings{Kapoor:2014:CBR, author = "Rajan Kapoor and S. Shyam Sundar and Preetam Kumar", booktitle = "{Proceedings of the 2014 IEEE Students' Technology Symposium}", title = "{CORDIC} based reconfigurable architecture for {DS-CDMA\slash CI} transmitter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "126--131", year = "2014", DOI = "https://doi.org/10.1109/TechSym.2014.6807927", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "BPSK modulator; Convolutional codes; Convolutional Encoder; CORDIC; DS-CDMA/CI; FPGA; Generators; Mathematical model; Modulation; Multiaccess communication; Multiplexing; Radio transmitters", } @Article{Kasap:2014:NFP, author = "Server Kasap and Soydan Redif", title = "Novel Field-Programmable Gate Array Architecture for Computing the Eigenvalue Decomposition of Para-{Hermitian} Polynomial Matrices", journal = j-IEEE-TRANS-VLSI-SYST, volume = "22", number = "3", pages = "522--536", year = "2014", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2013.2248069", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Computer architecture; Coordinate rotation digital computer (CORDIC); Field programmable gate arrays; field-programmable gate array (FPGA); Hardware; Jacobian matrices; Matrix decomposition; polynomial matrix eigenvalue decomposition; Polynomials; Random access memory; sequential best rotation (SBR2); Xilinx system generator tool", } @InProceedings{Kasliwal:2014:HRD, author = "Prabha S. Kasliwal and Gaurav Bhand and B. P. Patil", booktitle = "{2014 Science and Information Conference}", title = "Hardware realization of discrete convolution using {CORDIC} and {Vedic} multiplier", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "850--854", year = "2014", DOI = "https://doi.org/10.1109/SAI.2014.6918284", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Convolution; CORDIC; Discrete linear convolution; Equations; Field programmable gate arrays; Finite element analysis; FPGA; Signal processing algorithms; Vectors; Vedic", } @InProceedings{Khurshid:2014:HRA, author = "Burhan Khurshid and Roohie Naz Mir and Animesh Kumar and Shatish Kumar", booktitle = "{2014 International Conference on Signal Processing and Integrated Networks (SPIN)}", title = "A hybrid-radix approach for efficient implementation of unfolded {CORDIC} architectures for {FPGA} platforms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "453--457", year = "2014", DOI = "https://doi.org/10.1109/SPIN.2014.6776996", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Computer architecture; CORDIC; DSP; Field programmable gate arrays; Periodic structures; Radix-4 arithmetic; Retiming; Signal processing algorithms; Throughput; Unfolded structures; VLSI", } @InProceedings{Kosovets:2014:CDM, author = "M. Kosovets and O. Pavlov", booktitle = "{2014 24th International Crimean Conference Microwave \& Telecommunication Technology}", title = "{CORDIC} differential model of characteristic functions of {3D} teragertz {FMCW} radar", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1017--1018", year = "2014", DOI = "https://doi.org/10.1109/CRMICO.2014.6959740", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Educational institutions; Electronic mail; Mathematical model; Noise level; Radar; Solid modeling; Three-dimensional displays", } @InProceedings{Kumar:2014:OTI, author = "K. A. Arun Kumar", booktitle = "{2014 3rd International Conference on Eco-friendly Computing and Communication Systems}", title = "An {OFDM} Transmitter Implementation Using {CORDIC} Based Partially Reconfigurable {IFFT} Module", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "266--270", year = "2014", DOI = "https://doi.org/10.1109/Eco-friendly.2014.61", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cordic; DDS; Field programmable gate arrays; FPGA; IFFT and Partial Reconfiguration; Mathematical model; Modulation; OFDM; Radio transmitters; RTL; Software packages; Switches", } @InProceedings{Leavline:2014:CIB, author = "E. Jebamalar Leavline and S. Megala and D. Asir Antony Gnana Singh", booktitle = "{2014 International Conference on Recent Trends in Information Technology}", title = "{CORDIC} iterations based architecture for low power and high quality {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2014", DOI = "https://doi.org/10.1109/ICRTIT.2014.6996195", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Coordinate rotation digital computer (CORDIC); Discrete Cosine Transform (DCT); Discrete cosine transforms; Equations; Image quality; Low power reconfigurable architecture; Power demand; Signal processing algorithms; Vectors", } @InProceedings{Lee:2014:MRF, author = "Jae-Ho Lee and Dong-Joon Choi and Nam-Ho Hur and Whan-Woo Kim", booktitle = "{16th International Conference on Advanced Communication Technology}", title = "Measurement results of frequency offset in {DVB-C2} receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "989--993", year = "2014", DOI = "https://doi.org/10.1109/ICACT.2014.6779106", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Digital video broadcasting; Educational institutions; Estimation; FPGA; Frequency division multiplexing; Frequency estimation; Frequency offset; OFDM; unique synchronization sequence", } @Article{Lee:2014:RCB, author = "Min-Woo Lee and Ji-Hwan Yoon and Jongsun Park", title = "Reconfigurable {CORDIC}-based Low-Power {DCT} Architecture Based on Data Priority", journal = j-IEEE-TRANS-VLSI-SYST, volume = "22", number = "5", pages = "1060--1068", year = "2014", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2013.2263232", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Computer architecture; Coordinate rotation digital computer (CORDIC); data priority; Degradation; discrete cosine transform (DCT); Discrete cosine transforms; Frequency-domain analysis; Hardware; Image quality; low-power; reconfigurable architecture; reconfigurable architecture.", } @InBook{Lin:2014:CAF, author = "Sun-Ting Lin and Tzu-Hao Wang and Shou-Sheu Lin and Yan-Bang Li", booktitle = "Proceedings of the 2nd International Conference on Intelligent Technologies and Engineering Systems {(ICITES2013)}", title = "{CORDIC} Algorithm for {FPGA} Implementation", publisher = "Springer International Publishing", pages = "57--62", year = "2014", DOI = "https://doi.org/10.1007/978-3-319-04573-3_8", ISBN = "3-319-04573-3", ISBN-13 = "978-3-319-04573-3", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Liu:2014:BWD, author = "Tsung-Hsien Liu and Chun-Ning Chiu and Pei-Yu Liu and Yuan-Sun Chu", title = "Block-Wise {$ Q R $}-Decomposition for the Layered and Hybrid {Alamouti} {STBC MIMO} Systems: Algorithms and Hardware Architectures", journal = j-IEEE-TRANS-SIG-PROC, volume = "62", number = "18", pages = "4737--4747", year = "2014", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2014.2342657", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "Alamouti space-time block coding; Computer architecture; CORDIC module; Educational institutions; Givens rotation; Hardware; MIMO; multiple input multiple output system; QR-decomposition; Receiving antennas; Signal processing algorithms; Transmitting antennas; triangular systolic array", } @InProceedings{Mane:2014:IDU, author = "Mansi Mane and Dhanshree Patil and Mukul S. Sutaone and Akshay Sadalage", booktitle = "{2014 First International Conference on Computational Systems and Communications (ICCSC)}", title = "Implementation of {DCT} using variable iterations {CORDIC} algorithm on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "379--383", year = "2014", DOI = "https://doi.org/10.1109/COMPSC.2014.7032682", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; CORDIC algorithm; DCT; Discrete cosine transforms; Field programmable gate arrays; FPGA; MATLAB; Signal processing algorithms; Vectors", } @InProceedings{Manikandan:2014:ATE, author = "M. Manikandan and C. Paramasivam", booktitle = "{2014 International Conference on Communication and Signal Processing}", title = "Area and time efficient hardwired pre-shifted bi-rotation {CORDIC} design", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1874--1879", year = "2014", DOI = "https://doi.org/10.1109/ICCSP.2014.6950170", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Coordinate rotation digital computer (CORDIC); digital arithmetic; digital signal processing (DSP) chip; Feeds; Indexes; VLSI", } @InProceedings{Martinez-Corral:2014:SPA, author = "Unai Martinez-Corral and Koldo Basterretxea and Raul Finker", booktitle = "{2014 24th International Conference on Field Programmable Logic and Applications (FPL)}", title = "Scalable parallel architecture for singular value decomposition of large matrices", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2014", DOI = "https://doi.org/10.1109/FPL.2014.6927393", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "adaptive threshold; Algorithm design and analysis; Arrays; co-processor; CORDIC; Field programmable gate arrays; FPGA; Jacobian matrices; Matrix decomposition; scalable architecture; Singular Value Decomposition; Singular value decomposition", } @InProceedings{Masram:2014:HPA, author = "B. Y. Masram and P. T. Karule", booktitle = "{2014 IEEE International Conference on Advanced Communications, Control and Computing Technologies}", title = "High performance analysis of a {CORDIC} architectures based on {FPGA}: a comparative approach", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "569--574", year = "2014", DOI = "https://doi.org/10.1109/ICACCCT.2014.7019151", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Folded; FPGA; FSM; Performance analysis; Rotation mode; Unfolded architectures; Vector", } @Article{Mohanty:2014:DPA, author = "Ramanarayan Mohanty and Gonnabhaktula Anirudh and Tapan Pradhan and Bibek Kabi and Aurobinda Routray", title = "Design and Performance Analysis of Fixed-point {Jacobi} {SVD} Algorithm on Reconfigurable System", journal = "IERI Procedia", volume = "7", pages = "21--27", year = "2014", DOI = "https://doi.org/10.1016/j.ieri.2014.08.005", ISSN = "2212-6678", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "International Conference on Applied Computing, Computer Science, and Computer Engineering (ICACC 2013)", URL = "https://www.sciencedirect.com/science/article/pii/S2212667814000240", acknowledgement = ack-nhfb, keywords = "CORDIC; fixed-point arithmetic; reconfigurable architecture; signal-to-quantization-noise-ratio (SQNR).; singular value decomposition (SVD)", } @Article{Moroz:2014:SHS, author = "Leonid Moroz and Shinobu Nagayama and Taras Mykytiv and Ihor Kirenko and Taras Boretskyy", title = "Simple Hybrid Scaling-Free {CORDIC} Solution for {FPGAs}", journal = "International Journal of Reconfigurable Computing", volume = "2014", number = "1", pages = "615472", year = "2014", DOI = "https://doi.org/10.1155/2014/615472", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1155/2014/615472", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1155/2014/615472", } @InProceedings{Neelam:2014:HEF, author = "Sapta Girish Neelam", booktitle = "{2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI)}", title = "Hardware-efficient {FPGA} implementation of symbol \& carrier synchronization for {16-QAM}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "630--634", year = "2014", DOI = "https://doi.org/10.1109/ICACCI.2014.6968199", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "16-QAM; Carrier recovery; Cordic; Detectors; Field programmable gate arrays; FPGA design; Interpolation; Quadrature amplitude modulation; Synchronization; Timing recovery; Transient analysis", } @InProceedings{Patil:2014:DIF, author = "Anupama Patil and Ritu Saini", booktitle = "{2014 International Conference on Green Computing Communication and Electrical Engineering (ICGCCEE)}", title = "Design and implementation of {FPGA} based linear all digital phase-locked loop", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--1", year = "2014", DOI = "https://doi.org/10.1109/ICGCCEE.2014.6922342", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Abstracts; ADPLL; Algorithm design and analysis; Cordic algorithm; Educational institutions; Field programmable gate arrays; FPGA; frequency resolution; Phase locked loops; Phase measurement; short locking time; Time-frequency analysis", } @InBook{Prasad:2014:EVI, author = "N. Prasad and Manas Ranjan Tripathy and Ansuman DiptiSankar Das and Nihar Ranjan Behera and Ayaskanta Swain", booktitle = "Intelligent Computing, Communication and Devices", title = "Efficient {VLSI} Implementation of {CORDIC}-Based Direct Digital Synthesizer", publisher = "Springer India", pages = "597--603", month = aug, year = "2014", DOI = "https://doi.org/10.1007/978-81-322-2012-1_64", ISBN = "81-322-2012-9", ISBN-13 = "978-81-322-2012-1", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Roy:2014:DVI, author = "Subhashis Roy and Joyashree Bag and Subir Kumar Sarkar", booktitle = "{2014 Annual IEEE India Conference (INDICON)}", title = "Design and {VLSI} implementation of a robot navigation processor deploying {CORDIC} based anti-collision algorithm with {RFID} technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2014", DOI = "https://doi.org/10.1109/INDICON.2014.7030598", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Anticollision; Collision avoidance; CORDIC algorithm; FPGA; Hardware; Mobile robots; Radiofrequency identification; RFID Technology; Robot kinematics; Robot Navigation processor; RTL schematic", } @InProceedings{Rupanagudi:2014:DLP, author = "Sudhir Rao Rupanagudi and Varsha G. Bhat and S. G. Hemalatha and N. Bhavana and M. Archana and B. V. Chandrika and R. Ashwini and Keerti G. Torvi and S. R. Darshan and B. G. Abhilash and K. S. Anil and Vinayak Swamy K. M.", booktitle = "{2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI)}", title = "Design of a low power Digital Down Converter for 802.16m --- {4G} {WiMAX} on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2303--2308", year = "2014", DOI = "https://doi.org/10.1109/ICACCI.2014.6968583", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "4G; 5G; 802.16m; Baseband; Cascaded Integrator Comb Filter; CIC Filter; Computer architecture; CORDIC algorithm; DDC; Digital Down Converter; Field programmable gate arrays; Finite impulse response filters; Low power multiplier; Mixers; NCO; Numerically Controlled Oscillator; Receivers; Vedic Maths; WiMAX", } @InProceedings{S:2014:EFP, author = "Shymna Nizar N S and Abhila R. Krishna", booktitle = "{2014 IEEE International Conference on Advanced Communications, Control and Computing Technologies}", title = "An efficient folded pipelined architecture for {Fast Fourier Transform} using {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "462--467", year = "2014", DOI = "https://doi.org/10.1109/ICACCCT.2014.7019486", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; FFT; folding transformation; FPGA; Logic gates; Pipelining; Registers; Service-oriented architecture; Vectors", } @Article{Shukla:2014:LLH, author = "Rohit Shukla and Kailash Chandra Ray", title = "Low Latency Hybrid {CORDIC} Algorithm", journal = j-IEEE-TRANS-COMPUT, volume = "63", number = "12", pages = "3066--3078", month = dec, year = "2014", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2013.173", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "65Y05 99-03", MRnumber = "3280273", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2010.bib", ZMnumber = "1364.65318", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "adders; Approximation algorithms; communication systems; Computer architecture; coordinate rotational digital computer; CORDIC algorithm; Delays; digital arithmetic; Digital computers; digital computers; double step branching; fast adders; first order hardware architecture; hardware complexity; hybrid CORDIC algorithm; image processing; low latency; low latency hybrid CORDIC algorithm; Mathematical model; radix-4; redundant arithmetic; scale factor calculation; signal processing; Signal processing algorithms", ZBmath = "6733040", } @InProceedings{Sileshi:2014:AHG, author = "B. G. Sileshi and C. Ferrer and J. Oliver", booktitle = "{IEEE SENSORS, 2014}", title = "Accelerating hardware {Gaussian} random number generation using {Ziggurat} and {CORDIC} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2122--2125", year = "2014", DOI = "https://doi.org/10.1109/ICSENS.2014.6985457", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Computer architecture; CORDIC; Field programmable gate arrays; FPGA; Generators; Hardware; Normal random number generator; Random number generation; Ziggurat", } @InProceedings{Sovets:2014:CIM, author = "M. Sovets and O. Pavlov", booktitle = "{2014 24th International Crimean Conference Microwave \& Telecommunication Technology}", title = "{CORDIC} integral model of characteristic functions of {3D} teragertz {FMCW} radar", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1023--1024", year = "2014", DOI = "https://doi.org/10.1109/CRMICO.2014.6959742", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Electronic mail; Integral equations; Mathematical model; Noise level; Oscillators; Radar; Three-dimensional displays", } @InProceedings{Thabet:2014:RDC, author = "Jihen Thabet and Rim Barrak and Najeh Kamoun and Nadia Khouja and Adel Ghazel", booktitle = "{2014 14th International Symposium on Communications and Information Technologies (ISCIT)}", title = "A reconfigurable Digital Down Converter architecture for multistandard {GNSS} receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "404--408", year = "2014", DOI = "https://doi.org/10.1109/ISCIT.2014.7011942", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Band-pass filters; bandpass RF sampling; CORDIC; DDC; decimation filters; Digital signal processing; Field programmable gate arrays; FPGA; Global Positioning System; GNSS signals; Low earth orbit satellites; multistandard radio receiver; Radio frequency; Standards", } @Article{Turrillas:2014:AER, author = "M. Turrillas and A. Cort{\'e}s and I. V{\'e}lez and J. F. Sevillano and A. Irizar", title = "An area-efficient Radix 28 {FFT} algorithm for {DVB-T2} receivers", journal = j-MICROELECT-J, volume = "45", number = "10", pages = "1311--1318", year = "2014", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2013.10.016", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "DCIS'12 Special Issue", URL = "https://www.sciencedirect.com/science/article/pii/S0026269213002565", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "Application specific integrated circuits (ASIC); Digital video broadcasting -- second generation terrestrial (DVB-T2); Fast Fourier transform (FFT); Orthogonal frequency division multiplexing (OFDM); Tensor product", } @InProceedings{Wang:2014:DFS, author = "Long Wang and Qiancheng Zhao and Minghao Nie and Dachuan Liu and Yuxian Liu and Junjie Yan and Zhenchuan Yang and Guizhen Yan", booktitle = "{The 9th IEEE International Conference on Nano/Micro Engineered and Molecular Systems (NEMS)}", title = "Digital fast startup procedure for micro-machined vibratory gyroscopes using optimized fuzzy control strategy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "208--211", year = "2014", DOI = "https://doi.org/10.1109/NEMS.2014.6908792", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "closed-loop drive system; CORDIC algorithm; FPGA; Frequency control; Fuzzy control; fuzzy control; Gyroscopes; MEMS gyroscope; Micromechanical devices; Reactive power; Resonant frequency; Time-frequency analysis", } @InProceedings{Wang:2014:NHG, author = "Yuting Wang and Zhisong Bie", booktitle = "{2014 Sixth International Conference on Wireless Communications and Signal Processing (WCSP)}", title = "A novel hardware {Gaussian} noise generator using {Box--Muller} and {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2014", DOI = "https://doi.org/10.1109/WCSP.2014.6992107", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Algorithm design and analysis; Computer architecture; Convergence; Equations; Hardware; Mathematical model", } @InProceedings{Wu:2014:CBO, author = "Chih-Feng Wu and Muh-Tian Shiue", booktitle = "{2014 6th International Symposium on Communications, Control and Signal Processing (ISCCSP)}", title = "{CORDIC}-based {OFDM} baseband receiver design", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "352--355", year = "2014", DOI = "https://doi.org/10.1109/ISCCSP.2014.6877886", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Baseband; Customer relationship management; Field programmable gate arrays; Joints; OFDM; Receivers; Synchronization", } @InProceedings{Wu:2014:FPC, author = "Chih-Feng Wu and Muh-Tian Shiue", booktitle = "{2014 IEEE International Conference on Electron Devices and Solid-State Circuits}", title = "{FPGA} prototyping for {CORDIC}-based {OFDM} baseband receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2014", DOI = "https://doi.org/10.1109/EDSSC.2014.7061161", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Field programmable gate arrays; OFDM; Quadrature amplitude modulation", } @InProceedings{Xu:2014:OFI, author = "Rui Xu and Zhanpeng Jiang and Hai Huang and Changchun Dong", booktitle = "{International Conference on Software Intelligence Technologies and Applications \& International Conference on Frontiers of Internet of Things 2014}", title = "Optimization and {FPGA} implementation of a {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "232--236", year = "2014", DOI = "https://doi.org/10.1049/cp.2014.1566", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Coordinate Rotational Digital Computer; Field Programmable Gate Arrays; hardware description language; ultrahigh-speed integrated circuit", } @Article{Zhang:2014:DIH, author = "Chaozhu Zhang and Jinan Han and Ke Li", title = "Design and Implementation of Hybrid {CORDIC} Algorithm Based on Phase Rotation Estimation for {NCO}", journal = "The Scientific World Journal", volume = "2014", number = "1", pages = "897381", year = "2014", DOI = "https://doi.org/10.1155/2014/897381", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1155/2014/897381", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1155/2014/897381", } @InProceedings{Zhang:2014:EFI, author = "Jianfeng Zhang and Paul Chow and Hengzhu Liu", booktitle = "{2014 International Conference on Field-Programmable Technology (FPT)}", title = "An efficient {FPGA} implementation of {$ Q R $} decomposition using a novel systolic array architecture based on enhanced vectoring {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "123--130", year = "2014", DOI = "https://doi.org/10.1109/FPT.2014.7082764", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Arrays; Computers; Hardware; Matrix decomposition; Transmission line matrix methods", } @InProceedings{Adiono:2015:CTB, author = "Trio Adiono and Vincentius Timothy and Nur Ahmadi and Aditya Candra and Khafit Mufadli", booktitle = "{TENCON 2015 --- 2015 IEEE Region 10 Conference}", title = "{CORDIC} and {Taylor} based {FPGA} music synthesizer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/TENCON.2015.7372964", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Delays; FPGA; music synthesizer; Pipelines; Registers; Signal processing algorithms; Synthesizers; Taylor expansion; Taylor series", } @InProceedings{Adiono:2015:PCA, author = "Trio Adiono and Nur Ahmadi and Antonius P. Renardy and Ashbir A. Fadila and Naufal Shidqi", booktitle = "{2015 6th Asia Symposium on Quality Electronic Design (ASQED)}", title = "A pipelined {CORDIC} architecture and its implementation in all-digital {FM} modulator-demodulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "37--42", year = "2015", DOI = "https://doi.org/10.1109/ACQED.2015.7274004", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; CORDIC; Demodulation; Demodulator; Detectors; FPGA; Frequency modulation; Frequency Modulation; Modems; Modulator", } @Article{Benhaoues:2015:VDA, author = "A. Benhaoues and S. Toumi and C. Tanougast and E. Bourennane and K. Messaoudi and H. Mayache", title = "Versatile digital architecture for mobile terminal", journal = j-MICROPROC-MICROSYS, volume = "39", number = "6", pages = "405--417", year = "2015", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2015.05.008", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933115000605", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "Common Operators technique; FFT-SDF; Generic hardware architectures; Optimized architectural synthesis; Rake receiver; {CORDIC} algorithm", } @InProceedings{Bhairannawar:2015:EVA, author = "Satish S. Bhairannawar and Sayantam Sarkar and K. B. Raja and K. R. Venugopal", booktitle = "{2015 IEEE International Conference on Signal Processing, Informatics, Communication and Energy Systems (SPICES)}", title = "An efficient {VLSI} architecture for fingerprint recognition using {O2D-DWT} architecture and modified {CORDIC-FFT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/SPICES.2015.7091397", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Databases; Discrete wavelet transforms; Fingerprint based biometric system; Fingerprint recognition; Finite impulse response filters; FPGA; Modified CORDIC processor; Optimized 2D-DWT architecture; Optimized FFT architecture; Very large scale integration", } @InProceedings{Bhaisare:2015:CAB, author = "Sayali R. Bhaisare and Aniket V. Gokhale and Pravin K. Dakhole", booktitle = "{2015 International Conference on Communications and Signal Processing (ICCSP)}", title = "{CORDIC} architecture based 2-D {DCT} and {IDCT} for image compression", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1473--1477", year = "2015", DOI = "https://doi.org/10.1109/ICCSP.2015.7322759", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Component; Computer architecture; CORDIC; DCT; Discrete cosine transforms; IDCT; Image processing; Kernel; Low power; Multiplexing; Program processors; Random access memory", } @Article{Biswas:2015:CBL, author = "Dwaipayan Biswas and Koushik Maharatna", title = "A {CORDIC}-Based Low-Power Statistical Feature Computation Engine for {WSN} Applications", journal = j-CSSP, volume = "34", number = "12", pages = "4011--4028", month = apr, year = "2015", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-015-0041-5", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InProceedings{Chen:2015:CDI, author = "Zhe Chen and Liyuan Liu and Nanjian Wu", booktitle = "{2015 IEEE SENSORS}", title = "Calculating depth image with pixel-parallel processor for a {TOF} image sensing system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2015", DOI = "https://doi.org/10.1109/ICSENS.2015.7370383", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arrays; Clocks; CORDIC; depth image; Filtering; image sensing system; Image sensors; indirect-TOF; parallel processing; Robot sensing systems", } @Article{Chung:2015:FPC, author = "Rih-Lung Chung and Yi-Qin Zhang and Shih-Lun Chen", title = "Fully pipelined {CORDIC}-based inverse kinematic {FPGA} design for biped robots", journal = j-ELECT-LETTERS, volume = "51", number = "16", pages = "1241--1243", year = "2015", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el.2015.1604", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/el.2015.1604", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/el.2015.1604", fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", keywords = "legged locomotion, field programmable gate arrays, adders, shift registers, digital arithmetic, logic design, fully pipelined CORDIC-based inverse kinematic FPGA design, biped robots, high-speed field-programmable gate array, coordinate rotation digital computer, hardware sharing technique, CORDIC scaling factor generator, cost-efficiency components, adders, shifters", } @InProceedings{deDinechin:2015:HIF, author = "Florent de Dinechin and Matei Istoan", title = "Hardware Implementations of Fixed-Point {Atan2}", crossref = "Muller:2015:ISC", pages = "34--41", year = "2015", DOI = "https://doi.org/10.1109/ARITH.2015.23", bibdate = "Sat Aug 01 08:05:52 2015", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARITH-22; atan; atan2; atan2pi; CORDIC; hypot; hypotenuse", remark-1 = "From page 35: ``This work essentially focuses on FPGAs. An unexpected result is that, even on modern FPGAs enhanced with DSP blocks and memories, CORDIC is a clear winner.''", remark-2 = "From page 37, on $w$-bit computation: ``We therefore need $g_\alpha = 1 + \lceil \log_2 ((w - 1) \times 0.5) \rceil$ guard bits to absorb all these errors.'' For the four IEEE 754 binary formats, that is 5, 6, 6, and 7 extra bits, respectively.", remark-3 = "From page 40: ``On the other hand, the latency of CORDIC does not seem quadratic, it seems linear in w. This is explained by the fact that the carry propagation delay is about 30 times faster than the standard routing used between two iterations. It justifies a posteriori the choice of ignoring redundant versions of CORDIC''.", remark-4 = "From page 41: ``To make things even better for CORDIC, it should be noted that it may also compute the module $\sqrt{x^2 + y^2}$ along with the angle [1]. This costs only one additional constant multiplication by $1 / K$.", } @InProceedings{El-Motaz:2015:HSV, author = "Mohammed A. El-Motaz and M. Wagih Ismail and Mohsen Raafat and Ali S. Faried and Mohammed A. Raghieb and Nassr M. Ismail and Sherif A. Hafez and Ahmed H. El-Kady and Esmaail A. El-Sayed and Mohamed A. Sharaf and Ibrahim Shazly and Wael E. Abd El-Kawi and Chadi M. Mohamed and Mohamed N. Elhidery and Karim Mohammed and Omar A. Nasr", booktitle = "{2015 IEEE International Conference on Electronics, Circuits, and Systems (ICECS)}", title = "A highly scalable vector oriented {ASIP}-based multi-standard digital receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "466--469", year = "2015", DOI = "https://doi.org/10.1109/ICECS.2015.7440349", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Application Specific Instruction-set Processor (ASIP); Computer architecture; COordinate Rotation DIgital Computer (CORDIC); Engines; Multiplexing; Power demand; Random access memory; Software Defined Radio (SDR); Wireless communication", } @InProceedings{El-Shafiey:2015:TSO, author = "Ahmed M. El-Shafiey and Mohamed E. Farag and Mohammed A. El-Motaz and Omar A. Nasr and Hossam A. H. Fahmy", booktitle = "{2015 IEEE International Conference on Electronics, Circuits, and Systems (ICECS)}", title = "Two-stage optimization of {CORDIC-friendly} {FFT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "408--411", year = "2015", DOI = "https://doi.org/10.1109/ICECS.2015.7440335", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Coordinate Rotation Digital Computer (CORDIC); Digital video broadcasting; Fast Fourier Transform (FFT); Fast Fourier transforms; Gain; Indexes; OFDM; Optimized production technology", } @InProceedings{ElHajjouji:2015:RTL, author = "I. {El Hajjouji} and A. {El Mourabit} and Z. Asrih and B. Bernoussi and S. Mars", booktitle = "{2015 27th International Conference on Microelectronics (ICM)}", title = "Real-time lane detection in different illumination conditions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "63--66", year = "2015", DOI = "https://doi.org/10.1109/ICM.2015.7437988", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Cordic; Detectors; Dynamic Threshold; Field programmable gate arrays; FPGA; Hough; Image edge detection; Lighting; Real-time systems; Sobel; Transforms", } @InProceedings{Fiala:2015:HEC, author = "Pavel Fiala and Richard Linhart", booktitle = "{2015 23rd Telecommunications Forum Telfor (TELFOR)}", title = "High efficient carrier phase synchronization for {SDR} using {CORDIC} implemented on an {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "512--515", year = "2015", DOI = "https://doi.org/10.1109/TELFOR.2015.7377519", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cyclones; Digital communication; digital filters; Digital signal processing; Field programmable gate arrays; FPGA; Mathematical model; Phase shift keying; Receivers; signal processing; Synchronization; synchronization; VHDL", } @InProceedings{Gupta:2015:VAE, author = "Shradha Gupta and Sumeet Saurav and Sanjay Singh and Anil K. Saini and Ravi Saini", booktitle = "{2015 International Conference on Advances in Computing, Communications and Informatics (ICACCI)}", title = "{VLSI} architecture of exponential block for non-linear {SVM} classification", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "528--532", year = "2015", DOI = "https://doi.org/10.1109/ICACCI.2015.7275662", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Clocks; Computer architecture; CORDIC; Elementary Functions; FPGA; Hardware; Non-Linear SVM Classification; Radiation detectors; Signal processing algorithms; Support vector machines; VLSI Architecture", } @InProceedings{Hanindhito:2015:USB, author = "Bagus Hanindhito and Hafez Hogantara and Annisa I. Rahmah and Nur Ahmadi and Trio Adiono", booktitle = "{2015 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS)}", title = "Ultrasonic sensor based contactless theremin using pipeline {CORDIC} as tone generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "268--273", year = "2015", DOI = "https://doi.org/10.1109/ISPACS.2015.7432778", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antennas; Convergence; FPGA; Irrigation; Oscillators; Periodic structures; Pipelined CORDIC; Pipelines; Theremin; Tone Generator; Ultrasonic Sensor", } @InProceedings{Ibrahim:2015:AFI, author = "Ali Ibrahim and Maurizio Valle and Luca Noli and Hussein Chible", booktitle = "{2015 IEEE Computer Society Annual Symposium on VLSI}", title = "Assessment of {FPGA} Implementations of One Sided {Jacobi} Algorithm for Singular Value Decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "56--61", year = "2015", DOI = "https://doi.org/10.1109/ISVLSI.2015.63", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Cordic method; Field programmable gate arrays; FPGA implementations; Hardware; Jacobian matrices; Matrix decomposition; one sided Jacobi algorithm; Singular value decomposition; Tactile data processing", } @InProceedings{Ibrahim:2015:FIF, author = "Ali Ibrahim and Maurizio Valle and Luca Noli and Hussein Chible", booktitle = "{2015 11th Conference on Ph.D. Research in Microelectronics and Electronics (PRIME)}", title = "{FPGA} implementation of fixed point {CORDIC-SVD} for E-skin systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "318--321", year = "2015", DOI = "https://doi.org/10.1109/PRIME.2015.7251399", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC modules; E-skin; Field programmable gate arrays; Hardware; Jacobian matrices; Kernel; Matrix decomposition; Real time FPGA implementation; Singular value decomposition; Singular Value Decomposition; Symmetric matrices; Tensorial Kernel", } @InProceedings{Jain:2015:CCS, author = "Nupur Jain and Biswajit Mishra", booktitle = "{2015 19th International Symposium on VLSI Design and Test}", title = "{CORDIC} on a configurable serial architecture for biomedical signal processing applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/ISVDAT.2015.7208050", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Biomedical signal processing; Clocks; Computer architecture; Configurable hardware; CORDIC; Finite impulse response filters; Hardware; Registers; Serial architecture; Signal processing algorithms", } @InProceedings{Jain:2015:DCN, author = "Nupur Jain and Biswajit Mishra", booktitle = "{2015 IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics (PrimeAsia)}", title = "{DCT} and {CORDIC} on a novel configurable hardware", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "51--56", year = "2015", DOI = "https://doi.org/10.1109/PrimeAsia.2015.7450469", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; Configurable hardware; CORDIC; DCT; Discrete cosine transforms; Finite impulse response filters; Hardware; Registers", } @InProceedings{Jarray:2015:LCE, author = "N. Jarray and M. Elhaji and A. Zitouni", booktitle = "{2015 IEEE 12th International Multi-Conference on Systems, Signals \& Devices (SSD15)}", title = "Low complexity and efficient architecture of {1D-DCT} based {CORDIC--Loeffler} for wireless endoscopy capsule", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/SSD.2015.7348130", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Complexity theory; Computer architecture; DCT; Discrete cosine transforms; Endoscopes; FPGA; Signal processing algorithms; Wireless capsule endoscopy; Wireless communication", } @InProceedings{Juang:2015:NRM, author = "Tso-Bing Juang and Chin-Chieh Chiu", booktitle = "{2015 International SoC Design Conference (ISOCC)}", title = "New recoding methods for fully pipelined parallel {CORDIC} rotations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "291--292", year = "2015", DOI = "https://doi.org/10.1109/ISOCC.2015.7401702", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation error; Circuits and systems; Cities and towns; computer arithmetic; Computer science; Computers; CORDIC; Frequency synthesizers; Generators; sine/cosine generation; VLSI", } @InProceedings{Katkar:2015:RCA, author = "Prajakta J. Katkar and Yogesh S. Angal", booktitle = "{2015 International Conference on Information Processing (ICIP)}", title = "Realization of {CORDIC} algorithm in {DDS}: Novel Approch towards Digital Modulators in {MATLAB} and {VHDL}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "355--359", year = "2015", DOI = "https://doi.org/10.1109/INFOP.2015.7489407", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Amplitude shift keying; ASK; BPSK; Clocks; Communication Systems; CORDIC Algorithm; DDS; Frequency shift keying; FSK; MATLAB; Phase shift keying; PSK; QAM; QPSK", } @InProceedings{Khurshid:2015:PEI, author = "Burhan Khurshid and Roohie Naaz Mir", booktitle = "{2015 International Conference on VLSI Systems, Architecture, Technology and Applications (VLSI-SATA)}", title = "Power efficient implementation of bit-parallel unrolled {CORDIC} structures for {FPGA} platforms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/VLSI-SATA.2015.7050466", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ASIC; Clocks; CORDIC; Digital signal processing; DSP; Dynamic scheduling; Field programmable gate arrays; FPGA; Look up table; Switches", } @InProceedings{Kislal:2015:ISD, author = "A. Oguz Kislal and Arda Demiray and Osman Ceylan and H. Bulent Yagci", booktitle = "{2015 23rd Telecommunications Forum Telfor (TELFOR)}", title = "Implementation of a software defined {FM} mixed demodulator on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "333--336", year = "2015", DOI = "https://doi.org/10.1109/TELFOR.2015.7377477", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Demodulation; Digital FM; Field programmable gate arrays; Finite impulse response filters; FPGA; Frequency modulation; Mixers; Phase locked loops; SDR", } @InProceedings{Kumar:2015:AFO, author = "Vinay Kumar M and David Selvakumar A and Sobha P M", booktitle = "{2015 International Conference on VLSI Systems, Architecture, Technology and Applications (VLSI-SATA)}", title = "Area and frequency optimized 1024 point Radix-2 {FFT} processor on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/VLSI-SATA.2015.7050487", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "1024-point FFT; 64bit Fixed Point Arithmetic; CORDIC; Digital signal processing; Discrete Fourier transforms; FFT processor; FPGA; Generators; Indexes; Indium tin oxide; Ping-Pong operation; Radix-2 Butterfly; Random access memory; Table lookup; Verilog HDL; Virtex-6", } @InProceedings{Kusumah:2015:CBD, author = "Rizky Kusumah and Dicky Cahyadi and Gandhika Kumara and Trio Adiono", booktitle = "{TENCON 2015 --- 2015 IEEE Region 10 Conference}", title = "{CORDIC}-based digital sound synthesizer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/TENCON.2015.7373158", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CORDIC; digital signal processing; digital sound synthesizer; FPGA; Frequency control; Frequency modulation; Frequency synthesizers; Generators; Loudspeakers; Synthesizers", } @Article{Lin:2015:LCH, author = "Jing-Shiun Lin and Yin-Tsung Hwang and Shih-Hao Fang and Po-Han Chu and Ming-Der Shieh", title = "Low-Complexity High-Throughput {$ Q R $} Decomposition Design for {MIMO} Systems", journal = j-IEEE-TRANS-VLSI-SYST, volume = "23", number = "10", pages = "2342--2346", year = "2015", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2014.2361906", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Clocks; Complexity theory; Coordinate rotation digital computer (CORDIC); Hardware; Logic gates; Matrix converters; MIMO; multiple-input multiple-output (MIMO); QR decomposition (QRD); QR decomposition (QRD).; Vectors", } @InProceedings{Liu:2015:IFC, author = "Xiaoning Liu and Yizhuang Xie and He Chen and Bingyi Li", booktitle = "{IET International Radar Conference 2015}", title = "Implementation on {FPGA} for {CORDIC}-based computation of arcsine and arccosine", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2015", DOI = "https://doi.org/10.1049/cp.2015.1306", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "arccosine; arcsine; CORDIC; Double Iteration Algorithm", } @InProceedings{Mack:2015:FPC, author = "Joshua Mack and Sam Bellestri and Daniel Llamocca", booktitle = "{2015 International Conference on ReConFigurable Computing and FPGAs (ReConFig)}", title = "Floating point {CORDIC}-based architecture for powering computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/ReConFig.2015.7393311", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; computer arithmetic; Convergence; CORDIC; Engines; floating point arithmetic; Floating-point arithmetic; Hardware; powering; Signal processing algorithms", } @InProceedings{Mal:2015:VBT, author = "Arindam Mal and Jayanta Laha and Tanisha Bhatia and Subhalakshmi K and Shwetha Kanawalli", booktitle = "{2015 International Conference on Trends in Automation, Communications and Computing Technology (I-TACT-15)}", title = "Vision based terrain relative navigation sensor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/ITACT.2015.7492669", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; CoreFFT; Correlation; Detectors; Digital signal processing; Field programmable gate arrays; Navigation; Phase correlation; Random access memory; RTAX2000S FPGA; Space vehicles", } @InProceedings{Mishra:2015:SCG, author = "Ansuman Mishra and S. Sivanantham and K. Sivasankaran", booktitle = "{2015 Online International Conference on Green Engineering and Technologies (IC-GET)}", title = "Sine and cosine generator using {CORDIC} algorithm implemented in {ASIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2015", DOI = "https://doi.org/10.1109/GET.2015.7453811", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Conferences; CORDIC; Cosine; Digital signal processing; Mathematical model; Physical design; Signal processing algorithms; Sine", } @InProceedings{Muchahary:2015:CBD, author = "Deboraj Muchahary and Abir J. Mondal and Alak Majumder", booktitle = "{2015 International Conference on Communications and Signal Processing (ICCSP)}", title = "A {CORDIC} based design technique for efficient computation of {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "0484--0489", year = "2015", DOI = "https://doi.org/10.1109/ICCSP.2015.7322431", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; Computers; CORDIC; DCT; DFT; FFT; Image coding; Image recognition; Mathematical model; MSR-CORDIC; Multimedia communication", } @InProceedings{Muchahary:2015:SDA, author = "Deboraj Muchahary and Abir J. Mondal and Rajesh Singh Parmar and Amlan Deep Borah and Alak Majumder", booktitle = "{2015 Fifth International Conference on Communication Systems and Network Technologies}", title = "A Simplified Design Approach for Efficient Computation of {DCT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "483--487", year = "2015", DOI = "https://doi.org/10.1109/CSNT.2015.134", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Algorithm design and analysis; Computational complexity; CORDIC; DCT; DFT; Discrete cosine transforms; Discrete Fourier transforms; FFT; RADIX; Signal processing algorithms", } @Article{Munoz:2015:HTF, author = "Sergio D. Mu{\~n}oz and Javier Hormigo", title = "High-Throughput {FPGA} Implementation of {$ Q R $} Decomposition", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "62", number = "9", pages = "861--865", year = "2015", DOI = "https://doi.org/10.1109/TCSII.2015.2435753", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Arrays; COordinate Rotation DIgital Computer (CORDIC); CORDIC; Field programmable gate arrays; field-programmable gate array (FPGA); FPGA; Hardware; high throughput; high-throughput; Matrix decomposition; pipelined; QR Decomposition; QR decomposition; Schedules; systolic array; Throughput", } @InProceedings{Munoz:2015:IFP, author = "Sergio D. Mu{\~n}oz and Javier Hormigo", booktitle = "{2015 International Symposium on Consumer Electronics (ISCE)}", title = "Improving fixed-point implementation of {$ Q R $} decomposition by rounding-to-nearest", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2015", DOI = "https://doi.org/10.1109/ISCE.2015.7177822", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "adaptive filters; Computer architecture; Consumer communication; Consumer electronics; CORDIC; Delays; Field programmable gate arrays; fixed-point optimization; Hardware; Matrix decomposition; MIMO; QRD; watermarking; Watermarking", } @InProceedings{Nguyen:2015:LRL, author = "Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham and Trong-Thuc Hoang and Duc-Hung Le", booktitle = "{TENCON 2015 --- 2015 IEEE Region 10 Conference}", title = "A low-resource low-latency hybrid adaptive {CORDIC} in 180-nm {CMOS} technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2015", DOI = "https://doi.org/10.1109/TENCON.2015.7372987", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CMOS integrated circuits; CMOS technology; Digital signal processing; Logic gates; Registers; Signal to noise ratio; Table lookup", } @InProceedings{Nilsson:2015:LPU, author = "Peter Nilsson and Yuhang Sun and Rakesh Gangarajaiah and Erik Hertz", booktitle = "{2015 Nordic Circuits and Systems Conference (NORCAS): NORCHIP \& International Symposium on System-on-Chip (SoC)}", title = "Low power unrolled {CORDIC} architectures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2015", DOI = "https://doi.org/10.1109/NORCHIP.2015.7364396", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Approximation methods; Computer architecture; Hardware; Microprocessors; Power demand; Silicon", } @InBook{Nolting:2015:EDR, author = "Stephan Nolting and Guillermo Pay{\'a}-Vay{\'a} and Florian Giesemann and Holger Blume", booktitle = "Applied Reconfigurable Computing", title = "Exploring Dynamic Reconfigurable {CORDIC} Co-Processors Tightly Coupled with a {VLIW-SIMD} Soft-Processor Architecture", publisher = "Springer International Publishing", pages = "401--410", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-16214-0_36", ISBN = "3-319-16214-4", ISBN-13 = "978-3-319-16214-0", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Oza:2015:PIH, author = "Saharsh Samir Oza and Ankit Parag Shah and Tarun Thokala and Sumam David", booktitle = "{2015 International Conference on Computing and Network Communications (CoCoNet)}", title = "Pipelined implementation of high radix adaptive {CORDIC} as a coprocessor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "333--342", year = "2015", DOI = "https://doi.org/10.1109/CoCoNet.2015.7411207", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "adaptive; Adaptive systems; Algorithm design and analysis; Approximation algorithms; Computer architecture; Convergence; coprocessor; Coprocessors; CORDIC; Hardware; iterative; pipelined", } @Article{Petrovsky:2015:CLF, author = "Nick Petrovsky and Andrew Stankevich and Alexander Petrovsky", title = "{CORDIC}-lifting factorization of paraunitary filter banks based on the quaternionic multipliers for lossless image coding", journal = "Multidimensional Systems and Signal Processing", volume = "27", number = "3", pages = "667--695", month = mar, year = "2015", DOI = "https://doi.org/10.1007/s11045-015-0323-x", ISSN = "1573-0824", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Priyantini:2015:EIG, author = "Dwi Teguh Priyantini and Yulistiyan Wardhana and Machmud Roby Alhamidi and Dwi M. J. Purnomo and Aprinaldi and Petrus Mursanto and Wisnu Jatmiko", booktitle = "{2015 International Conference on Computers, Communications, and Systems (ICCCS)}", title = "An efficient implementation of generalized extreme {Studentized} deviate ({GESD}) on field programmable gate array ({FPGA})", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "14--18", year = "2015", DOI = "https://doi.org/10.1109/CCOMS.2015.7562844", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Binomial Division; CORDIC; Field programmable gate arrays; FPGA; Generalized Extreme Student Deviate (GESD); Hardware design languages; Logic gates; Mathematical model; Non Restoring Division; Outliers; Signal processing algorithms; Square Root; Standards", } @InProceedings{Ranganathan:2015:LCF, author = "Senthilkumar Ranganathan and H. S. Sriharsha and Ravi Kumar Krishnan", booktitle = "{2015 IEEE International Conference on Computational Intelligence and Computing Research (ICCIC)}", title = "Low cost {FPGA} implementation of {SPWM} using dynamically configurable switching frequency for three phase voltage source inverter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/ICCIC.2015.7435665", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Field programmable gate arrays; FPGA; Generators; Inverters; Pipelined CORDIC; Pulse width modulation; SPWM; Switches; Switching frequency; THD; Three-phase DC/AC inverters", } @InProceedings{Renardy:2015:FIC, author = "Antonius P. Renardy and Nur Ahmadi and Ashbir A. Fadila and Naufal Shidqi and Trio Adiono", booktitle = "{2015 International Conference on Electrical Engineering and Informatics (ICEEI)}", title = "{FPGA} implementation of {CORDIC} algorithms for sine and cosine generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2015", DOI = "https://doi.org/10.1109/ICEEI.2015.7352460", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Detectors; Electrical engineering; FPGA; Hardware; Signal processing algorithms; Sine and Cosine Generator; Table lookup; VSFA", } @InProceedings{S:2015:DEU, author = "Vaishnavi S and Titiksha B and Vinay RJ and J. Manikandan", booktitle = "{2015 Annual IEEE India Conference (INDICON)}", title = "Design and evaluation of universal modulators", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/INDICON.2015.7443273", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Amplitude shift keying; CORDIC; Field programmable gate arrays; FPGA; Frequency shift keying; Hardware; Signal Processing; Universal Modulators", } @InProceedings{Sarode:2015:MRC, author = "Namrata Sarode and Rajeev Atluri and P. K. Dakhole", booktitle = "{2015 International Conference on Communications and Signal Processing (ICCSP)}", title = "Mixed-radix and {CORDIC} algorithm for implementation of {FFT}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1628--1634", year = "2015", DOI = "https://doi.org/10.1109/ICCSP.2015.7322794", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Fast Fourier transform (FFT); Filtering algorithms; Indexes; Mixed Radix Multipath Delay Feedback (MRMDF); Polynomials; Yttrium", } @InProceedings{Shinde:2015:TFG, author = "Suraj N. Shinde", booktitle = "{2015 International Conference on Computer, Communication and Control (IC4)}", title = "Twiddle factor generation using {CORDIC} processor for fingerprint application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2015", DOI = "https://doi.org/10.1109/IC4.2015.7375673", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computers; Conferences; CORDIC algorithm; Feature extraction; fingerprint; Fingerprint recognition; FPGA; Hardware; Image matching; Random access memory; rotation and vectoring mode", } @InProceedings{Singh:2015:DIQ, author = "Arun Kumar Singh and Madhav Kumar Singh and Kailash Chandra Ray", booktitle = "{2015 IEEE International Symposium on Nanoelectronic and Information Systems}", title = "Design and Implementation of Quadruple Floating-Point {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "286--290", year = "2015", DOI = "https://doi.org/10.1109/iNIS.2015.23", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Dynamic range; FPGA Implementation; Hardware design languages; Heuristic algorithms; Mathematical model; Quadruple Floating-Point; Signal processing algorithms; Standards; VLSI Architecture", } @InProceedings{Singh:2015:MWC, author = "Ashish Kumar Singh and Yong Hoon Kim", booktitle = "{International Conference on Computing, Communication \& Automation}", title = "Methods of wideband chirp signal generation using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1243--1247", year = "2015", DOI = "https://doi.org/10.1109/CCAA.2015.7148609", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Chirp; Chirp signal; Clocks; CORDIC; direct digital synthesis; Field programmable gate arrays; FPGA; Frequency modulation; Radar; Radar signal processing; Table lookup; Virtex 6", } @InProceedings{T:2015:IHC, author = "Yamunadevi T. and Parmasivam C.", booktitle = "{2015 International Conference on Innovations in Information, Embedded and Communication Systems (ICIIECS)}", title = "Implementation of Hyperbolic {CORDIC}-based {VLSI} architecture for {Kaiser--Bessel} Window techniques in spectral analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2015", DOI = "https://doi.org/10.1109/ICIIECS.2015.7193234", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bessel argument generator; Bessel Function; DH-HEMTs; Generators; Hyperbolic CORDIC; Indexes; Integrated circuits; Kaiser Bessel Window Co-efficient; Silicon", } @Article{Tiwari:2015:HIN, author = "Vipin Tiwari and Nilay Khare", title = "Hardware implementation of neural network with Sigmoidal activation functions using {CORDIC}", journal = j-MICROPROC-MICROSYS, volume = "39", number = "6", pages = "373--381", year = "2015", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2015.05.012", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933115000642", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "CORDIC; Field Programmable Gate Array (FPGA); Hardware; Neural network", } @InProceedings{Venkaiah:2015:IDD, author = "Papanaboina Venkaiah and T. Laxmi Pradeep Kumar", booktitle = "{2015 IEEE MTT-S International Microwave and RF Conference (IMaRC)}", title = "Implementation of {DPSK} demodulation using quadrants method in {FPGA} for {IFF} {MKXII} digital receiver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "96--98", year = "2015", DOI = "https://doi.org/10.1109/IMaRC.2015.7411392", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CIVIL Mode S; CORDIC; Delays; Demodulation; Differential phase shift keying; DPSK; Field programmable gate arrays; FPGA Resources; Hardware; IFF MKXII; Quadrants method; Receivers; Transponders", } @InProceedings{Wawryn:2015:FID, author = "Krzysztof Wawryn and Pawe Poczekaj{\l}o and Robert Wirski", booktitle = "{2015 22nd International Conference Mixed Design of Integrated Circuits \& Systems (MIXDES)}", title = "{FPGA} implementation of 3-D separable {Gauss} filter using pipeline rotation structures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "589--594", year = "2015", DOI = "https://doi.org/10.1109/MIXDES.2015.7208592", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "3-D DSP; 3-D signal; CORDIC algorithm; Delays; Digital signal processing; Field programmable gate arrays; Finite impulse response filters; FPGA; Givens rotation; Hardware; Noise; pipeline structure; Sensitivity", } @Article{Wong:2015:CBF, author = "Ching-Chang Wong and Chi-Tai Cheng and Chih-Cheng Liu and Yueh-Yang Hu", title = "{CORDIC}-based {FPGA} hardware design method for biped walking gait", journal = j-J-CHINESE-INST-ENG, volume = "38", number = "5", pages = "610--620", month = feb, year = "2015", CODEN = "CKCKDZ", DOI = "https://doi.org/10.1080/02533839.2015.1010454", ISSN = "2158-7299", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan", } @InProceedings{Wu:2015:RIC, author = "Caipeng Wu and Binquan Zhou and Jiancheng Fang", booktitle = "{2015 4th International Conference on Computer Science and Network Technology (ICCSNT)}", title = "Research on improved {CORDIC} algorithm for high accuracy {DDS} signal source", volume = "01", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1351--1355", year = "2015", DOI = "https://doi.org/10.1109/ICCSNT.2015.7490979", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Booth's algorithm; Convergence; Coordinate Rotation Digital Computer (CORDIC); Direct Digital Synthesis (DDS); Mathematical model; Read only memory; rotation angle optimization; scaling-free; Table lookup; Upper bound", } @InProceedings{Wu:2015:SSS, author = "Caipeng Wu and Binquan Zhou and Jiancheng Fang", booktitle = "{2015 IEEE International Conference on Progress in Informatics and Computing (PIC)}", title = "Study on spurious suppression method of high accuracy {DDS}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "516--520", year = "2015", DOI = "https://doi.org/10.1109/PIC.2015.7489901", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "angle optimization; Computational modeling; Computers; DDS; improved CORDIC algorithm; Nickel; Read only memory; signal source simulation; spurious suppression", } @Article{Yasodai:2015:NDS, author = "A. Yasodai and A. V. Ramprasad", title = "Noise degradation system using {Wiener} filter and {CORDIC} based {FFT\slash IFFT} processor", journal = "Journal of Central South University", volume = "22", number = "10", pages = "3849--3859", month = oct, year = "2015", DOI = "https://doi.org/10.1007/s11771-015-2929-4", ISSN = "2227-5223", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Yin:2015:NRT, author = "Hongxu Yin and Bah Hwee Gwee and Zhiping Lin and Anil Kumar and Sirajudeen Gulam Razul and Chong Meng Samson See", booktitle = "{2015 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Novel real-time system design for floating-point sub-Nyquist multi-coset signal blind reconstruction", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "954--957", year = "2015", DOI = "https://doi.org/10.1109/ISCAS.2015.7168793", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Field programmable gate arrays; FPGA; Jacobi; Jacobian matrices; Mathematical model; multi-coset sampling; Multiband; Multiple signal classification; MUSIC; Real-time systems; Reconstruction; Signal to noise ratio; sub-Nyquist", } @Article{Zhang:2015:EAR, author = "Jianfeng Zhang and Paul Chow and Hengzhu Liu", title = "An Enhanced Adaptive Recoding Rotation {CORDIC}", journal = j-TRETS, volume = "9", number = "1", pages = "4:1--4:??", month = nov, year = "2015", CODEN = "????", DOI = "https://doi.org/10.1145/2812813", ISSN = "1936-7406 (print), 1936-7414 (electronic)", ISSN-L = "1936-7406", bibdate = "Tue Dec 22 16:19:56 MST 2015", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/trets.bib", abstract = "The Conventional Coordinate Rotation Digital Computer (CORDIC) algorithm has been widely used in many applications, particularly in Direct Digital Frequency Synthesizers (DDS) and Fast Fourier Transforms (FFT). However, CORDIC is constrained by the excessive number of iterations, angle data path, and scaling factor compensation. In this article, an enhanced adaptive recoding CORDIC (EARC) is proposed. It uses the enhanced adaptive recoding method to reduce the required iterations and adopts the trigonometric transformation scheme to scale up the rotation angles. Computing sine and cosine is used first to compare the core functionality of EARC with basic CORDIC; then a 16-bit DDS and a 1,024-point FFT based on EARC are evaluated to demonstrate the benefits of EARC in larger applications. All the proposed architectures are validated on a Virtex 5 FPGA development platform. Compared with a commercial implementation of CORDIC, EARC requires 33.3\% less hardware resources, provides a twofold speedup, dissipates 70.4\% less power, and improves accuracy in terms of the Bit Error Position (BEP). Compared to the state-of-the-art Hybrid CORDIC, EARC reduces latency by 11.1\% and consumes 17\% less power. Compared with a commercial implementation of DDS, the dissipated power of the proposed DDS is reduced by 27.2\%. The proposed DDS improves Spurious-Free Dynamic Range (SFDR) by nearly 7 dBc and dissipates 21.8\% less power when compared with a recently published DDS circuit. The FFT based on EARC dissipates a factor of 2.05 less power than the commercial FFT even when choosing the 100\% toggle rate for the FFT based on EARC and the 12.5\% toggle rate for the commercial FFT. Compared with a recently published FFT, the FFT based on EARC improves Signal-to-Noise Ratio (SNR) by 8.9 dB and consumes 7.78\% less power.", acknowledgement = ack-nhfb, ajournal = "ACM Trans. Reconfigurable Technol. Syst.", articleno = "4", fjournal = "ACM Transactions on Reconfigurable Technology and Systems (TRETS)", journal-URL = "https://dl.acm.org/loi/trets", } @InProceedings{Zhang:2015:FIL, author = "Jianfeng Zhang and Paul Chow and Hengzhu Liu", booktitle = "{2015 International Conference on Field Programmable Technology (FPT)}", title = "{FPGA} implementation of low-power and {high-PSNR} {DCT\slash IDCT} architecture based on adaptive recoding {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "128--135", year = "2015", DOI = "https://doi.org/10.1109/FPT.2015.7393139", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Computers; Discrete cosine transforms; Electronic mail; Field programmable gate arrays", } @InProceedings{Zhang:2015:LPH, author = "Jianfeng Zhang and Hengzhu Liu", booktitle = "{2015 IEEE 16th Annual Wireless and Microwave Technology Conference (WAMICON)}", title = "A low-power and {high-SFDR} Direct Digital Frequency Synthesizer based on adaptive recoding {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2015", DOI = "https://doi.org/10.1109/WAMICON.2015.7120358", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; DDS; Field programmable gate arrays; Inverters; Logic gates; LUT; Optimization; Random access memory; SFDR; Table lookup; Virtex 5 FPGA", } @Article{Aggarwal:2016:CDI, author = "Supriya Aggarwal and Pramod K. Meher and Kavita Khare", title = "Concept, Design, and Implementation of Reconfigurable {CORDIC}", journal = j-IEEE-TRANS-VLSI-SYST, volume = "24", number = "4", pages = "1588--1592", year = "2016", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2015.2445855", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Algorithm design and analysis; Circular trigonometry; Computer architecture; coordinate rotation digital computer (CORDIC); hyperbolic trigonometry; Pipelines; Program processors; reconfigurable CORDIC; reconfigurable CORDIC.; Signal processing algorithms; Trajectory; Very large scale integration", } @Article{Alcin:2016:HDI, author = "Murat Al{\c{c}}{\i}n and {\.I}hsan Pehlivan and {\.I}smail Koyuncu", title = "Hardware design and implementation of a novel {ANN}-based chaotic generator in {FPGA}", journal = j-OPTIK, volume = "127", number = "13", pages = "5500--5505", year = "2016", CODEN = "OTIKAJ", DOI = "https://doi.org/10.1016/j.ijleo.2016.03.042", ISSN = "0030-4026 (print), 1618-1336 (electronic)", ISSN-L = "0030-4026", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0030402616302108", acknowledgement = ack-nhfb, fjournal = "Optik", journal-URL = "http://www.sciencedirect.com/science/journal/00304026", keywords = "Artificial Neural Networks; Chaotic systems; Field Programmable Gate Arrays; VHDL", } @InProceedings{Babu:2016:IMB, author = "M. Madhu Babu and K. Rama Naidu", booktitle = "{2016 IEEE International Conference on Recent Trends in Electronics, Information \& Communication Technology (RTEICT)}", title = "Implementation of multiplexers based pipelined {CORDIC} for {OFDM} systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1089--1093", year = "2016", DOI = "https://doi.org/10.1109/RTEICT.2016.7807999", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Conferences; CORDIC; FFT; FPGA; IFFT; Market research; MUX; OFDM; OFDM PIPELINED; Registers; UNROLLED", } @InProceedings{Bhardwaj:2016:LCS, author = "Swati Bhardwaj and Adapa Bhagyaraja and R. Shashank and Pranit Jadhav and Dwaipayan Biswas and Amit Acharyya and Ganesh R. Naik", booktitle = "{2016 IEEE International Workshop on Signal Processing Systems (SiPS)}", title = "Low Complexity Single Channel {ICA} Architecture Design Methodology for Pervasive Healthcare Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "39--44", year = "2016", DOI = "https://doi.org/10.1109/SiPS.2016.15", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clustering algorithms; Complexity theory; Computer architecture; CORDIC; Electroencephalography; EVD; FFT; Hardware; k-means clustering; Medical services; Pervasive Healthcare; SCICA; Signal processing algorithms", } @InProceedings{BuenodeCarvalho:2016:AOC, author = "Paulo Roberto {Bueno de Carvalho} and Jos{\'e} Alejandro {Amaya Palacio} and Wilhelmus {Van Noije}", booktitle = "{2016 IEEE International Frequency Control Symposium (IFCS)}", title = "Area optimized {CORDIC}-based numerically controlled oscillator for electrical bio-impedance spectroscopy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/FCS.2016.7546728", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustics; Aluminum nitride; Bio-Impedance Spectroscopy; CORDIC; Detectors; Direct Digital Frequency Synthesizer (DDFS); Electrodes; FPGA; III-V semiconductor materials; Impedance; Numerically Controlled Oscillator (NCO); Resonant frequency; Resources Sharing Technique; RTL optimization", } @InProceedings{Camarda:2016:IDP, author = "Federico D. Camarda and Octavio Alpago and Nicol{\'a}s Alvarez and Federico Zacchigna and Ariel Lutenberg", booktitle = "{2016 IEEE Biennial Congress of Argentina (ARGENCON)}", title = "Implementation of a {$ Q R $} Decomposition Processor using Walke Mapping on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/ARGENCON.2016.7585269", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Beamforming; Computer architecture; CORDIC; FPGA; Givens Rotations; Hardware; Matrix; Matrix decomposition; Microprocessors; QR Decomposition; QRD; Real Time Algorithms; Recursive Least Squares; RLS; Signal Processing; Signal processing algorithms; Software Defined Radio", } @InProceedings{Cervantes:2016:IOC, author = "Adrian Cervantes and Francis Lopez and Jeffry Quiros and Diego Rodriguez and Carlos Salazar-Garcia and Carlos Meza and Alfonso Chacon-Rodriguez", booktitle = "{2016 IEEE 36th Central American and Panama Convention (CONCAPAN XXXVI)}", title = "Implementation of an open core {IEEE 754}-based {FPU} with non-linear arithmetic support", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/CONCAPAN.2016.7942354", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Field programmable gate arrays; floating point arithmetic; FPGA; Hardware; IEEE 754 floating point representation; Mathematical model; Process control; Signal processing algorithms; Standards; Verilog", } @Article{Chen:2016:CFP, author = "Jiyang Chen and Yuanwu Lei and Yuanxi Peng and Tingting He and Ziye Deng", title = "Configurable Floating-Point {FFT} Accelerator on {FPGA} Based Multiple-Rotation {CORDIC}", journal = "Chinese Journal of Electronics", volume = "25", number = "6", pages = "1063--1070", year = "2016", DOI = "https://doi.org/10.1049/cje.2016.08.002", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/cje.2016.08.002", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/cje.2016.08.002", keywords = "clock frequency; configurable floating-point FFT accelerator; coordinate rotation digital computer; Coordinate rotation digital computer (CORDIC); CORDIC algorithm; CORDIC rotation; Costs; Digital computers; Fast Fourier transform (FFT); fast Fourier transform accelerator; fast Fourier transforms; Fast Fourier transforms; Field programmable gate arrays; floating point arithmetic; Floating-point; FPGA; FPGA based multiple-rotation CORDIC; hardware cost; Prediction algorithms; Random access memory; Real-time systems; redundant CORDIC; redundant number systems; segmented-parallel iteration; signal processing; Signal processing; Signal processing algorithms; Table lookup; twiddle angles; twiddle direction prediction", } @InProceedings{Chen:2016:DIL, author = "Wei-Yang Chen and Daniel Guenther and Chung-An Shen and Gerd Ascheid", booktitle = "{2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)}", title = "Design and implementation of a low-latency, high-throughput sorted {$ Q R $} decomposition circuit for {MIMO} communications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "277--280", year = "2016", DOI = "https://doi.org/10.1109/APCCAS.2016.7803953", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Computer architecture; Delays; High Throughput CORDIC; Matrix decomposition; MIMO; Sorted QR; Sorting; Throughput", } @InProceedings{Chen:2016:FPA, author = "Linbin Chen and Fabrizio Lombardi and Jie Han and Weiqiang Liu", booktitle = "{2016 IEEE/ACM International Symposium on Nanoscale Architectures (NANOARCH)}", title = "A fully parallel approximate {CORDIC} design", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "197--202", year = "2016", DOI = "https://doi.org/10.1145/2950067.2950076", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Error distance; Inexact computing; Power dissipation; Servers", } @InProceedings{Chinnaaiah:2016:UAR, author = "M. C. Chinnaaiah and Saikiran Ambati and Shaheen Begum and Vamsi Thota and L. Mounika", booktitle = "{2016 International Conference on Research Advances in Integrated Navigation Systems (RAINS)}", title = "An unveiling angle of repose with {CORDIC} based etymology using minimal hardware scheme", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2016", DOI = "https://doi.org/10.1109/RAINS.2016.7764424", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Angle of repose; Belts; CORDIC; FPGA; Navigation; Powders; Rain; Sensors; sensors; Table lookup", } @InProceedings{Chinnaiah:2016:VPP, author = "M. C. Chinnaiah and Sanjay Dubey and K. Anusha and J. Vani and G. {Divya Vani}", booktitle = "{2016 10th International Conference on Intelligent Systems and Control (ISCO)}", title = "A versatile path planning algorithm with behavioural control using {FPGA} based robots", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/ISCO.2016.7727076", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Collision avoidance; CORDIC; FPGA; M algorithm; multi robot; Navigation; Obstacle avoidance; Path planning; Robot kinematics; Robot sensing systems; Service robots", } @InProceedings{Dubey:2016:NAC, author = "Soumitr Sanjay Dubey and Rahul Shrestha and Shubhajit Roy Chowdhury", booktitle = "{2016 IEEE Annual India Conference (INDICON)}", title = "A novel architecture for computing eigenvalues of matrix for high speed applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2016", DOI = "https://doi.org/10.1109/INDICON.2016.7838959", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "co-ordinate rotation-digital computer (CORDIC); Computer architecture; Delays; eigenvalue; Eigenvalues and eigenfunctions; field-programmable gate-array (FPGA); Matrix decomposition; Multiplexing; Ports (Computers); TSA and QR algorithm; Very large scale integration; VLSI architectures", } @InProceedings{Dwiputra:2016:DSS, author = "Agung Nuza Dwiputra and Riko Hasiando Goknipasu Nainggolan and Muhammad Arief Ma'ruf Nasution", booktitle = "{2016 International Symposium on Electronics and Smart Devices (ISESD)}", title = "3 dimension sound source localization with cross-correlation and {CORDIC} algorithm on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "365--370", year = "2016", DOI = "https://doi.org/10.1109/ISESD.2016.7886749", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Correlation; Delay effects; Field programmable gate arrays; FPGA; Mathematical model; Microphones; Registers; Sound Source Localization; TDOA", } @InProceedings{ElHajjouji:2016:FBR, author = "I. {El Hajjouji} and A. {El Mourabit} and Z. Asrih and S. Mars and B. Bernoussi", booktitle = "{2016 International Conference on Electrical and Information Technologies (ICEIT)}", title = "{FPGA} based real-time lane detection and tracking implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "186--190", year = "2016", DOI = "https://doi.org/10.1109/EITech.2016.7519587", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive Threshold; CORDIC; Detectors; Field programmable gate arrays; FPGA; Hough; Image edge detection; Kalman Filter; Kalman filters; Lighting; Real-time systems; Sobel; Transforms", } @Article{Gao:2016:RTP, author = "Xingshun Gao and Lei Zhao and Jinxin Liu and Zouyi Jiang and Xiaofang Hu and Shubin Liu and Qi An", title = "Real-Time Phase Correction Based on {FPGA} in the Beam Position and Phase Measurement System", journal = j-IEEE-TRANS-NUCL-SCI, volume = "63", number = "6", pages = "2903--2908", year = "2016", CODEN = "IRNSAM", DOI = "https://doi.org/10.1109/TNS.2016.2614296", ISSN = "0018-9499 (print), 1558-1578 (electronic)", ISSN-L = "0018-9499", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Nuclear Science", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=23", keywords = "Beam measurement; CORDIC; correction; Field programmable gate arrays; Linear accelerators; Particle beam measurements; Particle beams; Phase measurement; phase measurement; Real-time systems; vector rotation", } @Article{Garrido:2016:CIN, author = "Mario Garrido and Petter K{\"a}llstr{\"o}m and Martin Kumm and Oscar Gustafsson", title = "{CORDIC II}: a New Improved {CORDIC} Algorithm", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "63", number = "2", pages = "186--190", month = feb, year = "2016", DOI = "https://doi.org/10.1109/TCSII.2015.2483422", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Adders; Convergence; CORDIC; CORDIC II; digital arithmetic; friend angles; Hardware; Kernel; Multiplexing; nano-rotation; nanorotation; rotation; rotation angle; Signal processing algorithms; uniformly scaled redundant (USR) CORDIC; USR", } @Article{Garrido:2016:MUG, author = "Mario Garrido and Rikard Andersson and Fahad Qureshi and Oscar Gustafsson", title = "Multiplierless Unity-Gain {SDF} {FFTs}", journal = j-IEEE-TRANS-VLSI-SYST, volume = "24", number = "9", pages = "3003--3007", year = "2016", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2016.2542583", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Adders; Algorithm design and analysis; Combined coefficient selection and shift-and-add implementation (CCSSI); Computer architecture; coordinate rotation digital computer (CORDIC); fast Fourier transform (FFT); Fast Fourier transforms; Hardware; multiplierless; pipelined architecture; single-delay feedback (SDF); Throughput; unity gain; Very large scale integration", } @Misc{Hachachi:2016:EMC, author = "Yassine Hacha{\"\i}chi and Younes Lahbib", title = "An efficient mathematically correct scale free {CORDIC}", year = "2016", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1606.02468", abstract = "In order to approximate transcendental functions, several algorithms where this \ldots{}, polynomial interpolation, infinite series, and other +, *, and / based algorithms were studied for this CORDIC (COordinate Rotation DIgital Computer) introduced by Jack E. Volder in 1959, and generalized by J. S. Walther a few years later, is a hardware based algorithm for the approximation of trigonometric, hyperbolic and logarithmic \ldots{} a consequence, CORDIC is used for applications in diverse areas such as signal and image \ldots{} these reasons, several modified versions were \ldots{} this article, we present an overview of the CORDIC algorithm for the computation of the circular functions, essentially the scaling free version, and we will give a substantial improvement to the commonly used one.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "1606.02468", primaryclass = "cs.NA", } @Article{Heidarpour:2016:CBD, author = "Moslem Heidarpour and Arash Ahmadi and Rashid Rashidzadeh", title = "A {CORDIC} Based Digital Hardware For Adaptive Exponential Integrate and Fire Neuron", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "63", number = "11", pages = "1986--1996", year = "2016", DOI = "https://doi.org/10.1109/TCSI.2016.2598161", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Adaptation models; Adaptive exponential integrate and fire (AdEx); Biological neural networks; biological neuron model; Biological system modeling; Computational modeling; CORDIC; digital implementation; Hardware; Mathematical model; neuromorphic; Neurons; spiking neural network", xxnote = "Check author: Heidarpour or Heidarpur??", } @InProceedings{Hoang:2016:HAC, author = "Trong-Thuc Hoang and Duc-Hung Le and Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham", booktitle = "{2016 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A hybrid adaptive {CORDIC} in 65nm {SOTB} {CMOS} process", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2158--2161", year = "2016", DOI = "https://doi.org/10.1109/ISCAS.2016.7539008", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CMOS integrated circuits; CMOS process; Leakage currents; Power demand; Silicon-on-insulator", } @InProceedings{Hoang:2016:HPD, author = "Trong-Thuc Hoang and Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham and Duc-Hung Le", booktitle = "{2016 IEEE Sixth International Conference on Communications and Electronics (ICCE)}", title = "High-performance {DCT} architecture based on angle recoding {CORDIC} and Scale-Free Factor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "199--204", year = "2016", DOI = "https://doi.org/10.1109/CCE.2016.7562636", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computational modeling; Computer architecture; Discrete cosine transforms; Electronic mail; Encoding; Gain", } @InProceedings{Jacoby:2016:DFP, author = "Andres Jacoby and Daniel Llamocca", booktitle = "{2016 International Conference on ReConFigurable Computing and FPGAs (ReConFig)}", title = "Dual fixed-point {CORDIC} processor: Architecture and {FPGA} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2016", DOI = "https://doi.org/10.1109/ReConFig.2016.7857166", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Convergence; CORDIC; Detectors; Dual Fixed Point Arithmetic; Dynamic range; Engines; FPGA; Hardware; Testing", } @InProceedings{Jung:2016:CMM, author = "Gihoon Jung and Kyungrak Choi and Jongsun Park", booktitle = "{2016 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)}", title = "A compact multi-mode {CORDIC} with Global-Shifting-Sum ({GSS}) method", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "180--183", year = "2016", DOI = "https://doi.org/10.1109/APCCAS.2016.7803927", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; cross-folded architecture; Decision support systems; Frequency synthesizers; Generators; Global Shifting-Sum (GSS); Memory management; multi-mode; rotation mode; Signal processing algorithms; vectoring mode", } @InProceedings{Kermani:2016:EED, author = "Mehran Mozaffari Kermani and Rajkumar Ramadoss and Reza Azarderakhsh", booktitle = "{2016 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Efficient error detection architectures for {CORDIC} through recomputing with encoded operands", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2154--2157", year = "2016", DOI = "https://doi.org/10.1109/ISCAS.2016.7539007", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuit faults; Computer architecture; Coordinate rotation digital computer; Field programmable gate arrays; recomputing with encoded operands; Registers; Reliability; reliability; Throughput; Transient analysis", } @InProceedings{Kumar:2016:CBV, author = "Vikas Kumar and Kailash Chandra Ray and Preetam Kumar", booktitle = "{2016 International Conference on VLSI Systems, Architectures, Technology and Applications (VLSI-SATA)}", title = "{CORDIC}-based {VLSI} architecture for implementing {CI-OFDM} and its {FPGA} prototype", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2016", DOI = "https://doi.org/10.1109/VLSI-SATA.2016.7593037", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Baseband; CI-OFDM; Clocks; Computer architecture; CORDIC; Field programmable gate arrays; FPGA Prototyping; Generators; Mathematical model; OFDM; VLSI Architecture", } @InProceedings{Kumar:2016:LCC, author = "Vikas Kumar and Kailash Chandra Ray and Preetam Kumar", booktitle = "{2016 IEEE 12th International Colloquium on Signal Processing \& Its Applications (CSPA)}", title = "Low-complexity {CORDIC}-based {VLSI} design and {FPGA} prototype of {CI-OFDMA} system for next-generation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "22--27", year = "2016", DOI = "https://doi.org/10.1109/CSPA.2016.7515796", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CI-OFDMA; Communication systems; Computer architecture; Computers; CORDIC; FPGA; Low Complexity; Prototypes; VLSI Architecture", } @InProceedings{Kumar:2016:VDF, author = "Lalit Kumar and Deepak Kumar Mittal and Rahul Shrestha", booktitle = "{2016 IEEE Annual India Conference (INDICON)}", title = "{VLSI-design} and {FPGA-implementation} of {GMSK-demodulator} architecture using {CORDIC} engine for low-power application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/INDICON.2016.7838954", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application-Specific Integrated-Circuits (ASIC) and digital architecture; Bit error rate; Computer architecture; CORDIC; Demodulation; Engines; Field programmable gate arrays; FPGA; Hardware; Synchronization; VLSI; Wireless communication", } @Article{Lakshmi:2016:LLP, author = "B. Lakshmi and A. S. Dhar", title = "Low latency pipelined {CORDIC}-like rotator architecture", journal = j-INT-J-ELECTRON, volume = "104", number = "1", pages = "64--78", month = jul, year = "2016", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2016.1186232", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @InProceedings{Lavanya:2016:HSF, author = "Lavanya M and Kalaiselvi A", booktitle = "{2016 International Conference on Wireless Communications, Signal Processing and Networking (WiSPNET)}", title = "High speed {FIR} adaptive filter for {RADAR} applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2118--2122", year = "2016", DOI = "https://doi.org/10.1109/WiSPNET.2016.7566516", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; Clutter; Computer architecture; CORDIC incorporated KA Structure; Filtering algorithms; Finite impulse response filters; Performance analysis; Radar; RADAR; Signal processing algorithms", } @InProceedings{Li:2016:SCA, author = "Junwei Li and Jiandong Fang and Bajin Li and Yudong Zhao", booktitle = "{2016 Chinese Control and Decision Conference (CCDC)}", title = "Study of {CORDIC} algorithm based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4338--4343", year = "2016", DOI = "https://doi.org/10.1109/CCDC.2016.7531747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Field programmable gate arrays; Hardware; Pipeline technology; Pipelines; Read only memory; Signal processing algorithms; Simulation; Sine-cosine signal", } @InProceedings{Long:2016:DND, author = "Xitian Long and Zhe Zheng and Xueping Jiang and Jinghong Guo and Guanghua Wu and Yanyi Meng and Hong Chen and Yuxuan Liu", booktitle = "{2016 IEEE International Conference on Electron Devices and Solid-State Circuits (EDSSC)}", title = "Design of novel digital {GFSK} modulation and demodulation system for short-range wireless communication application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "299--302", year = "2016", DOI = "https://doi.org/10.1109/EDSSC.2016.7785267", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "atan2; Conferences; Decision support systems; demodulator; Electron devices; GFSK; Hafnium; modulator; reconfigurable CORDIC; Solid state circuits; Wireless communication", } @InProceedings{Mehta:2016:EMS, author = "Jaina M. Mehta and Pratik Trivedi", booktitle = "{2016 IEEE International Conference on Digital Signal Processing (DSP)}", title = "An enhanced mixed-scaling-rotation {CORDIC} algorithm with weighted amplifying factor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "527--531", year = "2016", DOI = "https://doi.org/10.1109/ICDSP.2016.7868613", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Circuits and systems; Complexity theory; Computer architecture; Coordinate Rotational Digital Computer (CORDIC) algorithm; Fast Fourier Transformation (FFT); Hardware; Mathematical model; Mixed Scaling Rotation (MSR)-CORDIC; Signal processing algorithms; Signal to Quantization Noise Ratio (SQNR); VLSI", } @InProceedings{Meinl:2016:HAM, author = "Frank Meinl and Martin Kunert and Holger Blume", booktitle = "{2016 Conference on Design and Architectures for Signal and Image Processing (DASIP)}", title = "Hardware acceleration of Maximum-Likelihood angle estimation for automotive {MIMO} radars", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "168--175", year = "2016", DOI = "https://doi.org/10.1109/DASIP.2016.7853815", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antenna arrays; Automotive radar; CORDIC; direction of arrival; Direction-of-arrival estimation; driver assistance; FPGA; Hardware; hardware accelerator; Maximum likelihood estimation; maximum-likelihood estimation; Radar; Radar antennas; radar signal processing", } @InBook{Muller:2016:CA, author = "Jean-Michel Muller", booktitle = "Elementary Functions", title = "The {CORDIC} Algorithm", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "165--184", year = "2016", DOI = "https://doi.org/10.1007/978-1-4899-7983-4_9", ISBN = "1-4899-7983-2", ISBN-13 = "978-1-4899-7983-4", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Book{Muller:2016:EFA, author = "Jean-Michel Muller", title = "Elementary Functions: Algorithms and Implementation", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, edition = "Third", pages = "xxv + 283", year = "2016", DOI = "https://doi.org/10.1007/978-1-4899-7983-4", ISBN = "1-4899-7981-6 (print), 1-4899-7983-2 (e-book)", ISBN-13 = "978-1-4899-7981-0 (print), 978-1-4899-7983-4 (e-book)", LCCN = "QA331 .M866 2016", bibdate = "Sun Dec 04 15:12:36 2016", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib; https://www.math.utah.edu/pub/tex/bib/numana2010.bib; z3950.loc.gov:7090/Voyager", abstract = "This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts. Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods; the final chapter in this section deals with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of shift-and-add algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom--Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementors of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource.", acknowledgement = ack-nhfb, subject = "Functions; Data processing; Algorithms", tableofcontents = "Introduction \\ Introduction to Computer Arithmetic \\ Part I: Algorithms Based on Polynomial Approximation and/or Table Lookup, Multiple-Precision Evaluation of Functions \\ The Classical Theory of Polynomial or Rational Approximations \\ Polynomial Approximations with Special Constraints \\ Polynomial Evaluation \\ Table-Based Methods \\ Multiple-Precision Evaluation of Functions \\ Part II: Shift-and-Add Algorithms \\ Introduction to Shift-and-Add Algorithms \\ The CORDIC Algorithm \\ Some Other Shift-and-Add Algorithms \\ Part III: Range Reduction, Final Rounding, and Exceptions \\ Range Reduction \\ Final Rounding \\ Miscellaneous \\ Examples of Implementation \\ References \\ Index", } @Article{Nawandar:2016:RLP, author = "Neha K. Nawandar and Bharat Garg and G. K. Sharma", title = "{RICO}: a low power repetitive iteration {CORDIC} for {DSP} applications in portable devices", journal = j-J-SYST-ARCH, volume = "70", pages = "82--92", year = "2016", CODEN = "JSARFB", DOI = "https://doi.org/10.1016/j.sysarc.2016.04.007", ISSN = "1383-7621 (print), 1873-6165 (electronic)", ISSN-L = "1383-7621", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "High Performance Computing, Communication and Embedded Software/Systems", URL = "https://www.sciencedirect.com/science/article/pii/S1383762116300273", acknowledgement = ack-nhfb, fjournal = "Journal of Systems Architecture", journal-URL = "https://www.sciencedirect.com/journal/journal-of-systems-architecture", keywords = "Approximate design; CORDIC; Discrete Cosine Transform (DCT); Rotation (); Scaling factor (k)", } @InProceedings{Nguyen:2016:PPC, author = "Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham and Trong-Thuc Hoang and Duc-Hung Le", booktitle = "{2016 International Conference on Electronics, Information, and Communications (ICEIC)}", title = "A parallel pipeline {CORDIC} based on adaptive angle selection", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2016", DOI = "https://doi.org/10.1109/ELINFOCOM.2016.7563034", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Clocks; Hardware; Registers; Resource management; Table lookup", } @Article{Parfieniuk:2016:SIC, author = "Marek Parfieniuk and Sang Yoon Park", title = "Sparse-Iteration {4D} {CORDIC} Algorithms for Multiplying Quaternions", journal = j-IEEE-TRANS-COMPUT, volume = "65", number = "9", pages = "2859--2871", month = sep, year = "2016", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2015.2506572", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", MRclass = "68W40 (68M07)", MRnumber = "3539008", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1360.68090", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "68M07,65Y04; Adders; Computer architecture; constant-coefficient multiplier; CORDIC; Field programmable gate arrays; Hardware; hypercomplex number; multiplication; Quaternion; Quaternions; Signal processing algorithms; Sparse matrices", ZBmath = "6716013", } @InProceedings{Parfieniuk:2016:VQM, author = "Marek Parfieniuk and Sang Yoon Park", booktitle = "{2016 14th IEEE International New Circuits and Systems Conference (NEWCAS)}", title = "A versatile quaternion multiplier based on sparse-iteration {4D} {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2016", DOI = "https://doi.org/10.1109/NEWCAS.2016.7604788", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Hardware; Logic gates; Quaternions; Switches; Table lookup; Transforms; Two dimensional displays", } @Article{Petrovsky:2016:CLF, author = "Nick Petrovsky and Andrew Stankevich and Alexander Petrovsky", title = "{CORDIC}-lifting factorization of paraunitary filter banks based on the quaternionic multipliers for lossless image coding", journal = "Multidimensional Syst. Signal Process.", volume = "27", number = "3", pages = "667--695", year = "2016", DOI = "https://doi.org/10.1007/s11045-015-0323-x", ISSN = "0923-6082", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1441.94022", acknowledgement = ack-nhfb, fjournal = "Multidimensional Systems and Signal Processing", keywords = "94A08,94A12", ZBmath = "6758814", } @InProceedings{Pivezhandi:2016:ADT, author = "Mohammad Pivezhandi and Mohammad Eshghi", booktitle = "{2016 6th International Conference on Computer and Knowledge Engineering (ICCKE)}", title = "{ASIP} Design for Two dimensional {CORDIC} based {DFT} and {DCT} algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "269--273", year = "2016", DOI = "https://doi.org/10.1109/ICCKE.2016.7802151", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application specific instruction set processor; Cordic based algorithm; Discrete Cosine Transform; Discrete Fourier Transform; Generators; Logic gates; Oils; Productivity; Register Transfer Language; Zinc", } @InProceedings{Pramanik:2016:LLH, author = "Sayantan Pramanik and Sayak Chakraborty and Rishav Saha and Rupkatha Basu and Ritam De and Sulagna Chatterjee and Ritam Banerjee", booktitle = "{2016 IEEE 7th Annual Information Technology, Electronics and Mobile Communication Conference (IEMCON)}", title = "Low latency high throughput {CORDIC} based {Fourier} analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2016", DOI = "https://doi.org/10.1109/IEMCON.2016.7746353", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Computers; CORDIC (Coordinate Rotation DIgital Computer); Fourier Transform; Fourier transforms; Hardware; Hybrid Radix 2 format; Low Latency and High Throughput; Signal processing algorithms; Truth Table; Very large scale integration", } @InProceedings{Ranji:2016:AEV, author = "Aarti Ranji and Nashrah Fatima and Paresh Rawat", booktitle = "{2016 International Conference on Emerging Technological Trends (ICETT)}", title = "Area efficient {VLSI} architecture for {DCT} using modified {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2016", DOI = "https://doi.org/10.1109/ICETT.2016.7873776", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Coordinate Rotation Digital Computer; Discrete Cosine Transform; Discrete cosine transforms; Discrete Fourier Transform; Hardware; Program processors; Signal processing algorithms; Very large scale integration", } @InProceedings{Ray:2016:CBP, author = "Kailash Chandra Ray and Anindya Sundar Dhar", booktitle = "{2016 IEEE Region 10 Conference (TENCON)}", title = "{CORDIC}-based parallel architecture for one dimensional discrete {Mellin} transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1638--1643", year = "2016", DOI = "https://doi.org/10.1109/TENCON.2016.7848295", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Conferences; Hardware; Mathematical model; Real-time systems; Throughput; Transforms", } @InProceedings{Ruifeng:2016:MID, author = "Yang Ruifeng and Guo Chenxia and Zhang Peng", booktitle = "{2016 Sixth International Conference on Instrumentation \& Measurement, Computer, Communication and Control (IMCCC)}", title = "The Method on Improving Digital Decoding Accuracy of the Resolver", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "745--751", year = "2016", DOI = "https://doi.org/10.1109/IMCCC.2016.242", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; angle decoding; Computers; CORDIC algorithm; Decoding; decoding accuracy; Frequency modulation; Iterative decoding; Rotors; Signal resolution; the resolver", } @Misc{Saad:2016:GPA, author = "Imen {Ben Saad} and Younes Lahbib and Yassine Hacha{\"\i}chi and Sonia Mami and Abdelkader Mami", title = "Generic-Precision algorithm for {DCT-Cordic} architectures", year = "2016", DOI = "https://doi.org/10.48550/arXiv.1606.02424", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1606.02424", abstract = "In this paper we propose a generic algorithm to calculate the rotation parameters of CORDIC angles required for the Discrete Cosine Transform algorithm (DCT). This leads us to increase the precision of calculation meeting any \ldots{} contribution is to use this decomposition in CORDIC based DCT which is appropriate for domains which require high quality and top precision. We then propose a hardware implementation of the novel transformation, and as expected, a substantial improvement in PSNR quality is found.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "1606.02424", primaryclass = "cs.MM", } @InProceedings{Satpute:2016:CBN, author = "Vishal R. Satpute and Neha K. Nawandar", booktitle = "{2016 11th International Conference on Industrial and Information Systems (ICIIS)}", title = "{CORDIC} based novel energy-efficient approximate {DCT} architecture for error-resilient applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "655--660", year = "2016", DOI = "https://doi.org/10.1109/ICIINFS.2016.8263020", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "approximate architecture; Batteries; Computational efficiency; Computer architecture; COordinate Rotation DIgital Computer (CORDIC); Discrete Cosine Transform (DCT); Discrete cosine transforms; Energy efficiency; error-resilient applications; Mathematical model; Repetitive Iteration CORDIC (RICO); Trajectory", } @Misc{Simmonds:2016:CBA, author = "Nia Simmonds and Joshua Mack and Sam Bellestri and Daniel Llamocca", title = "{CORDIC}-based Architecture for Powering Computation in Fixed-Point Arithmetic", year = "2016", DOI = "https://doi.org/10.48550/arXiv.1605.03229", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1605.03229", abstract = "We present a fixed point architecture (source VHDL code is provided) for powering computation. The fully customized architecture, based on the expanded hyperbolic CORDIC algorithm, allows for design space exploration to establish trade-offs among design parameters (numerical format, number of iterations), execution time, resource usage and accuracy. We also generate Pareto-optimal realizations in the resource-accuracy space: this approach can produce optimal hardware realizations that simultaneously satisfy resource and accuracy requirements.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "1605.03229", primaryclass = "cs.AR", } @InProceedings{Smekalov:2016:CRF, author = "Anton I. Smekalov and Victor I. Djigan", booktitle = "{2016 IEEE East-West Design \& Test Symposium (EWDTS)}", title = "{CORDIC} rotator for frequency translation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2016", DOI = "https://doi.org/10.1109/EWDTS.2016.7807701", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Field programmable gate arrays; Floors; Frequency conversion; Frequency-domain analysis; Logic gates", } @InProceedings{Supe:2016:SCA, author = "Tushar Supe and David Anderson", booktitle = "{2016 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS)}", title = "{Super-CORDIC}: an approximation based parallel and redundant {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2016", DOI = "https://doi.org/10.1109/ISPACS.2016.7824681", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Computers; Coordinate rotation digital computer (CORDIC); Delays; Estimation; Generalized Architecture; Low Latency; Parallel Computation; Redundant Number Representation; Table lookup; Trigonometric Functions", } @InProceedings{Syed:2016:HST, author = "Azhar Syed and R. Mary Lourde", booktitle = "{2016 IEEE International Symposium on Nanoelectronic and Information Systems (iNIS)}", title = "Hardware Security Threats to {DSP} Applications in an {IoT} Network", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "62--66", year = "2016", DOI = "https://doi.org/10.1109/iNIS.2016.025", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer crime; CORDIC Processor; Digital signal processing; DSP applications in IoT; Hardware; Hardware Security; Integrated circuits; Internet of Things; IoT Networks; Trojan horses", } @InProceedings{Tan:2016:SBA, author = "Wen Tan and Kai Liu and Jia Liao", booktitle = "{2016 IEEE International Conference on Ubiquitous Wireless Broadband (ICUWB)}", title = "Study of S-band antenna tracking algorithm based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2016", DOI = "https://doi.org/10.1109/ICUWB.2016.7790477", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; antenna tracking; beam steering-angle; CORDIC algorithm; Field programmable gate arrays; Hardware; Phased arrays; Signal processing algorithms; Target tracking", } @InProceedings{Tang:2016:CBF, author = "Aimei Tang and Li Yu and Fangjian Han and Zhiqiang Zhang", booktitle = "{2016 IEEE 12th International Colloquium on Signal Processing \& Its Applications (CSPA)}", title = "{CORDIC}-based {FFT} real-time processing design and {FPGA} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "233--236", year = "2016", DOI = "https://doi.org/10.1109/CSPA.2016.7515837", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC algorithm; FFT; Field programmable gate arrays; FPGA; Hardware; MATLAB; Random access memory; Real-time systems; Signal processing algorithms", } @InProceedings{Tiwari:2016:IFH, author = "Bhawna Tiwari and Nidhi Goel", booktitle = "{2016 Second International Conference on Computational Intelligence \& Communication Technology (CICT)}", title = "Implementation of a Fast Hybrid {CORDIC} Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "702--706", year = "2016", DOI = "https://doi.org/10.1109/CICT.2016.145", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Design Vision; FPGA; Hardware design languages; hybrid; Hybrid power systems; Parallel architectures; Partitioning algorithms; Switches; Table lookup; Verilog; Xilinx ISE", } @Article{Torun:2016:FGC, author = "Mustafa U. Torun and Onur Yilmaz and Ali N. Akansu", title = "{FPGA}, {GPU}, and {CPU} implementations of {Jacobi} algorithm for eigenanalysis", journal = j-J-PAR-DIST-COMP, volume = "96", pages = "172--180", year = "2016", CODEN = "JPDCER", DOI = "https://doi.org/10.1016/j.jpdc.2016.05.014", ISSN = "0743-7315 (print), 1096-0848 (electronic)", ISSN-L = "0743-7315", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0743731516300508", acknowledgement = ack-nhfb, fjournal = "Journal of Parallel and Distributed Computing", journal-URL = "http://www.sciencedirect.com/science/journal/07437315", keywords = "Chess tournament; CORDIC; CPU; Eigenanalysis; FPGA; GPU; Jacobi algorithm; Karhunen--Lo{\`e}ve transform; Memory coalescing; Principal component analysis", } @Article{Vyas:2016:CBA, author = "Pranjal Vyas and Leena Vachhani and K. Sridharan and Vikramkumar Pudi", title = "{CORDIC}-based Azimuth Calculation and Obstacle Tracing via Optimal Sensor Placement on a Mobile Robot", journal = "IEEE\slash ASME Transactions on Mechatronics", volume = "21", number = "5", pages = "2317--2329", year = "2016", DOI = "https://doi.org/10.1109/TMECH.2015.2502622", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustics; Azimuth; coordinate rotation digital computer (CORDIC); dynamic obstacle; field programmable gate array (FPGA); Heuristic algorithms; interval arithmetic; Iterative methods; optimal placement; Robot kinematics; Robot sensing systems; robotics; ultrasonic sensor", } @InProceedings{Wang:2016:CUR, author = "Siyang Wang and Jia Yu and Kui-Ting Chen and Takaaki Baba", booktitle = "{2016 IEEE International Conference on Internet of Things (iThings) and IEEE Green Computing and Communications (GreenCom) and IEEE Cyber, Physical and Social Computing (CPSCom) and IEEE Smart Data (SmartData)}", title = "A {CORDIC} with Unified Rotation Strategy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "744--749", year = "2016", DOI = "https://doi.org/10.1109/iThings-GreenCom-CPSCom-SmartData.2016.157", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; coordinate rotation digital computer; Digital computers; Greedy algorithms; Hardware; Iterative algorithms; Production; Real-time systems; rotation strategy; Signal processing algorithms; Simulation; Social computing; unified CORDIC", } @InProceedings{Yan:2016:IDB, author = "Jihong Yan and Yuqing Ma and Zishu He", booktitle = "{2016 2nd IEEE International Conference on Computer and Communications (ICCC)}", title = "An implementation design of broadband and high resolution spectrum analysis based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2995--2999", year = "2016", DOI = "https://doi.org/10.1109/CompComm.2016.7925246", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; cordic algorithm; digital down conversion(DDC); Face; Field programmable gate arrays; FPGA; MATLAB; Optimization; Receivers; Satellites; spectrum analysis", } @Article{Zhang:2016:CBE, author = "Jianfeng Zhang and Paul Chow and Hengzhu Liu", title = "{CORDIC}-Based Enhanced Systolic Array Architecture for {$ Q R $} Decomposition", journal = j-TRETS, volume = "9", number = "2", pages = "9:1--9:??", month = feb, year = "2016", CODEN = "????", DOI = "https://doi.org/10.1145/2827700", ISSN = "1936-7406 (print), 1936-7414 (electronic)", ISSN-L = "1936-7406", bibdate = "Tue Dec 22 16:19:57 MST 2015", bibsource = "http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/trets.bib", abstract = "Multiple input multiple output (MIMO) with orthogonal frequency division multiplexing (OFDM) systems typically use orthogonal-triangular (QR) decomposition. In this article, we present an enhanced systolic array architecture to realize QR decomposition based on the Givens rotation (GR) method for a 4 $ \times $ 4 real matrix. The coordinate rotation digital computer (CORDIC) algorithm is adopted and modified to speed up and simplify the process of GR. To verify the function and evaluate the performance, the proposed architectures are validated on a Virtex 5 FPGA development platform. Compared to a commercial implementation of vectoring CORDIC, the enhanced vectoring CORDIC is presented that uses 37.7\% less hardware resources, dissipates 71.6\% less power, and provides a 1.8 times speedup while maintaining the same computation accuracy. The enhanced QR systolic array architecture based on the enhanced vectoring CORDIC saves 24.5\% in power dissipation, provides a factor of 1.5-fold improvement in throughput, and the hardware efficiency is improved 1.45-fold with no accuracy penalty when compared to our previously proposed QR systolic array architecture.", acknowledgement = ack-nhfb, ajournal = "ACM Trans. Reconfigurable Technol. Syst.", articleno = "9", fjournal = "ACM Transactions on Reconfigurable Technology and Systems (TRETS)", journal-URL = "https://dl.acm.org/loi/trets", } @InProceedings{Zhu:2016:CBI, author = "Huijie Zhu and Yizhou Ge", booktitle = "{2016 IEEE 11th Conference on Industrial Electronics and Applications (ICIEA)}", title = "{CORDIC}-based implementation architectures for the second-harmonic excitation of a micro-gyroscope", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2107--2110", year = "2016", DOI = "https://doi.org/10.1109/ICIEA.2016.7603937", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Crosstalk; electrical crosstalk; Electrodes; Electrostatics; Force; Frequency conversion; micro-gyroscope; resonance characteristics; Resonant frequency; Vibrations", } @InProceedings{Zhu:2016:MCA, author = "Huijie Zhu and Yizhou Ge and Bin Jiang", booktitle = "{2016 IEEE 13th International Conference on Signal Processing (ICSP)}", title = "Modified {CORDIC} algorithm for computation of arctangent with variable iterations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "261--264", year = "2016", DOI = "https://doi.org/10.1109/ICSP.2016.7877837", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Arctangent; Computers; CORDIC; Discrete cosine transforms; Field programmable gate arrays; Hardware; Signal processing algorithms; Vectoring mode", } @Article{Adapa:2017:CRB, author = "Bhagyaraja Adapa and Dwaipayan Biswas and Swati Bhardwaj and Shashank Raghuraman and Amit Acharyya and Koushik Maharatna", title = "Coordinate Rotation-Based Low Complexity {$K$}-Means Clustering Architecture", journal = j-IEEE-TRANS-VLSI-SYST, volume = "25", number = "4", pages = "1568--1572", year = "2017", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2016.2633543", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Algorithm design and analysis; Clustering algorithms; Computer architecture; Coordinate Rotation Digital Computer (CORDIC); Euclidean distance; hardware design; K-means; low complex architecture; Multiplexing; signal processing; Signal processing algorithms; Transistors", } @InProceedings{Anas:2017:ICA, author = "M. M. Anas and R. Sikha Padiyar and Alisiya Sara Boban", booktitle = "{2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS)}", title = "Implementation of {CORDIC} algorithm and design of high speed {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1278--1281", year = "2017", DOI = "https://doi.org/10.1109/ICECDS.2017.8389648", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; cosine; Data analysis; Field programmable gate arrays; Hardware; Logic gates; optimised XOR gate; Signal processing algorithms; sine; Transforms", } @InProceedings{Arasu:2017:VIL, author = "S. P. Valan Arasu and S. Baulkani and S. P. Brightlin Rhoda", booktitle = "{2017 International Conference on Innovations in Information, Embedded and Communication Systems (ICIIECS)}", title = "{VLSI} implementation of low power micro {CORDIC} processor for real time antenna array applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--9", year = "2017", DOI = "https://doi.org/10.1109/ICIIECS.2017.8276088", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Mathematical model; Micro cordic processor ( -cordic); Microstrip patch phased array antenna; Parallel micro cordic processor; Patch antennas; Permittivity; Phased array antenna; Phased arrays", } @Article{Bhairannawar:2017:IFB, author = "Satish S. Bhairannawar and Sayantam Sarkar and K. B. Raja and K. R. Venugopal", title = "Implementation of Fingerprint Based Biometric System Using Optimized 5/3 {DWT} Architecture and Modified {CORDIC} Based {FFT}", journal = j-CSSP, volume = "37", number = "1", pages = "342--366", month = may, year = "2017", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-017-0555-0", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InProceedings{Bhardwaj:2017:CRV, author = "Swati Bhardwaj and Shashank Raghuraman and Amit Acharyya", booktitle = "{2017 European Conference on Circuit Theory and Design (ECCTD)}", title = "Coordinate rotation and vector cross product based hardware accelerator for {nD} {FastICA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2017", DOI = "https://doi.org/10.1109/ECCTD.2017.8093246", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Blind Source Separation; Computer architecture; Convergence; CORDIC; Electroencephalography; FastICA; Hardware; Hardware design languages; MATLAB; Two dimensional displays; Vector Cross Product", } @InProceedings{Bhardwaj:2017:LCH, author = "Swati Bhardwaj and Shashank Raghuraman and Amit Acharyya", booktitle = "{2017 IEEE International Workshop on Signal Processing Systems (SiPS)}", title = "Low complexity hardware accelerator for {nD} {FastICA} based on coordinate rotation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2017", DOI = "https://doi.org/10.1109/SiPS.2017.8110000", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Blind Source Separation; Complexity theory; Convergence; CORDIC; FastICA; Hardware; Hardware design languages; Sensors; Speech; Two dimensional displays", } @InProceedings{Bisina:2017:OEP, author = "K. V. Bisina and Maleeha Abdul Azeez", booktitle = "{2017 International Conference on Intelligent Computing and Control Systems (ICICCS)}", title = "Optimized estimation of power spectral density", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "871--875", year = "2017", DOI = "https://doi.org/10.1109/ICCONS.2017.8250588", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC; Discrete Fourier transforms; Estimation; Fast Fourier transforms; Finite impulse response filters; modified periodogram; power spectral density; Spectral analysis; spectrum analysis", } @Article{Biswas:2017:LCF, author = "Dwaipayan Biswas and Koushik Maharatna and Goran Panic and Evangelos B. Mazomenos and Josy Achner and Jasmin Klemke and Michael J{\"o}bges and Steffen Ortmann", title = "Low-Complexity Framework for Movement Classification Using Body-Worn Sensors", journal = j-IEEE-TRANS-VLSI-SYST, volume = "25", number = "4", pages = "1537--1548", year = "2017", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2016.2641046", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Activity recognition (AR); classification; clustering; Computer architecture; coordinate rotation digital computer (CORDIC); Feature extraction; field-programmable gate array (FPGA); low complexity; Real-time systems; Sensor systems; Testing; Training data", } @InProceedings{Borole:2017:MRC, author = "Yogini Dilip Borole and C. G. Dethe", booktitle = "{2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS)}", title = "Mixed radix {CORDIC} {FFT} algorithm for {OFDM} {WPAN} applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2975--2979", year = "2017", DOI = "https://doi.org/10.1109/ICECDS.2017.8390001", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC algorithm; Data analysis; Discrete Fourier transforms; Fast Fourier transforms; FFT; Force; FPGA; IFFT; Information technology; OFDM; Radix 2 5", } @Article{Cao:2017:MDV, author = "Wenhui Cao and Anding Zhu", title = "A Modified Decomposed Vector Rotation-Based Behavioral Model With Efficient Hardware Implementation for Digital Predistortion of {RF} Power Amplifiers", journal = j-IEEE-TRANS-MICROWAVE-THEORY-TECH, volume = "65", number = "7", pages = "2443--2452", year = "2017", CODEN = "IETMAB", DOI = "https://doi.org/10.1109/TMTT.2016.2640318", ISSN = "0018-9480 (print), 1557-9670 (electronic)", ISSN-L = "0018-9480", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE transactions on microwave theory and techniques", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=22", keywords = "Behavioral model; Computational complexity; Computational modeling; coordinate rotation digital computer (CORDIC); digital predistortion (DPD); Hardware; Integrated circuit modeling; Mathematical model; model extraction; power amplifier (PA); Radio frequency; radio frequency (RF)", } @Article{Chen:2017:ADF, author = "Linbin Chen and Jie Han and Weiqiang Liu and Fabrizio Lombardi", title = "Algorithm and Design of a Fully Parallel Approximate Coordinate Rotation Digital Computer ({CORDIC})", journal = "IEEE Transactions on Multi-Scale Computing Systems", volume = "3", number = "3", pages = "139--151", year = "2017", DOI = "https://doi.org/10.1109/TMSCS.2017.2696003", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation algorithms; Computer architecture; Computers; CORDIC; Discrete cosine transforms; Error analysis; error distance; Hardware; Inexact computing; power dissipation", } @InProceedings{Franceschi:2017:AFI, author = "Marta Franceschi and Vincent Camus and Ali Ibrahim and Christian Enz and Maurizio Valle", booktitle = "{2017 New Generation of CAS (NGCAS)}", title = "Approximate {FPGA} Implementation of {CORDIC} for Tactile Data Processing Using Speculative Adders", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "41--44", year = "2017", DOI = "https://doi.org/10.1109/NGCAS.2017.40", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Approximate computing; Computer architecture; CORDIC; Data processing; Field programmable gate arrays; FPGA; Hardware; inexact speculative adder; Prosthetics; Real-time systems; tactile data processing", } @InProceedings{Hasnat:2017:NUC, author = "Abul Hasnat and Atanu Dey and Md. Azizul Hoque and Santanu Halder and Debotosh Bhattacharjee", booktitle = "{2017 Devices for Integrated Circuit (DevIC)}", title = "A novel unit circle approach for computation of sine function", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "570--573", year = "2017", DOI = "https://doi.org/10.1109/DEVIC.2017.8074015", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computational modeling; Computer architecture; CORDIC; Field programmable gate arrays; FPGA; Signal processing algorithms; Sine; Systems architecture; Unit Circle", } @InProceedings{Helvacioglu:2017:RCB, author = "G{\"u}lfem Helvacio{\u{g}}lu and Ali Bugra Korucu and Ya{\'u}ar Kemal Alp and Co{\c{s}}ku Kasnako{\u{g}}lu", booktitle = "{2017 25th Signal Processing and Communications Applications Conference (SIU)}", title = "Reduced {CORDIC} based logarithmic convertor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2017", DOI = "https://doi.org/10.1109/SIU.2017.7960483", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computers; CORDIC; Field programmable gate arrays; FPGA; Hardware; logarithm; Radar; Resource management; signal processing; Table lookup", } @InProceedings{Inguva:2017:ECA, author = "Sharath Chandra Inguva and J. B. Seventline", booktitle = "{2017 International Conference on Intelligent Sustainable Systems (ICISS)}", title = "Enhanced {CORDIC} algorithm using an area efficient carry select adder", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "410--415", year = "2017", DOI = "https://doi.org/10.1109/ISS1.2017.8389441", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Conferences; CORDIC algorithm; CSLA; Delays; friend angle; Hardware; Multiplexing; rotation; Signal processing algorithms", } @InProceedings{Jacoby:2017:DDF, author = "Andres Jacoby and Daniel Llamocca", booktitle = "{2017 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW)}", title = "Dynamic Dual Fixed-Point {CORDIC} Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "235--240", year = "2017", DOI = "https://doi.org/10.1109/IPDPSW.2017.49", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; Dynamic Dual Fixed Point Arithmetic; Dynamic range; Fixed-point arithmetic; Hardware; Heuristic algorithms; Partial Reconfiguration; Programmable SoCs; Software; Switches", } @InProceedings{Jain:2017:POD, author = "Mansi Jain and Palbha Kesharwani and Ashwini Kumar Malviya and Kavita Khare and Pratyush Shandilya and Sushmita Haldar and Himanshu Rai and Supriya Aggarwal", booktitle = "{2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS)}", title = "Performance optimized digital {QPSK} modulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "68--71", year = "2017", DOI = "https://doi.org/10.1109/ICECDS.2017.8389540", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; cosine; Data analysis; Frequency modulation; Phase shift keying; Power demand; Quadrature Phase Shift Keying; Random access memory; sine", } @InProceedings{Jiang:2017:KCM, author = "Ziyang Jiang and Yu Dai and Jianxun Zhang and Su He", booktitle = "{2017 IEEE International Conference on Robotics and Biomimetics (ROBIO)}", title = "Kinematics calculation of minimally invasive surgical robot based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1726--1730", year = "2017", DOI = "https://doi.org/10.1109/ROBIO.2017.8324667", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Conferences; CORDIC algorithm; Educational robots; Field programmable gate arrays; FPGA; Kinematics; Kinematics Model; Manipulators; Master-slave Heterogeneous Robot; Surgery", } @InProceedings{Kasiviswanathan:2017:EHI, author = "N. Kasiviswanathan and K. Srivatsan", booktitle = "{2017 International Conference on Nextgen Electronic Technologies: Silicon to Software (ICNETS2)}", title = "An efficient hardware implementation of {Gaussian} random number generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "327--331", year = "2017", DOI = "https://doi.org/10.1109/ICNETS2.2017.8067955", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Box Muller (BM) algorithm; CORDIC algorithm; Correlation; Delays; Field programmable gate arrays; Generators; Hardware; Mathematical model; Random numbers; Skip-Ahead Linear Feedback Shift Register (SA-LFSR)", } @Article{Kulshreshtha:2017:CBH, author = "Tanmai Kulshreshtha and Anindya S. Dhar", title = "{CORDIC}-based {Hann} windowed sliding {DFT} architecture for real-time spectrum analysis with bounded error-accumulation", journal = "IET Circuits, Devices \& Systems", volume = "11", number = "5", pages = "487--495", year = "2017", DOI = "https://doi.org/10.1049/iet-cds.2016.0375", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/iet-cds.2016.0375", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/iet-cds.2016.0375", keywords = "discrete Fourier transforms, spectral analysis, digital arithmetic, signal processing, field programmable gate arrays, application specific integrated circuits, CORDIC, Hann windowed sliding DFT architecture, real-time spectrum analysis, bounded error-accumulation, coordinate rotation digital computer, sliding discrete Fourier transform, leakage effect, DFT spectrum, finite word-length, high order generalised cosine windows, Blackman Harris cosine window, flat-top cosine window, Virtex-6 FPGA, ASIC post-layout", } @InProceedings{Langhammer:2017:FPT, author = "Martin Langhammer and Bogdan Pasca", title = "Floating Point Tangent Implementation for {FPGAs}", crossref = "Burgess:2017:ISC", pages = "64--65", month = jul, year = "2017", DOI = "https://doi.org/10.1109/ARITH.2017.25", ISSN = "1063-6889", bibdate = "Fri Nov 17 09:10:14 2017", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "This paper presents an implementation of the floating-point (FP) tangent function, optimized for an FPGA containing hard floating point (HFP) DSP Blocks. This function inputs values in the interval [- /2, /2], uses the IEEE-754 single-precision (SP) format, and has an accuracy conforming to OpenCL requirements. The presented architecture is based on a combination of mathematical identities and properties of the tangent function in FP. The resultant design outperforms generic polynomial approximation methods targeting the same resource utilization spectrum, and provides better resource trade-offs than classical CORDIC-based implementations. The presented work is widely available as part of the Intel DSP Builder Advanced Blockset.", acknowledgement = ack-nhfb, keywords = "Approximation methods; classical CORDIC-based implementations; Digital arithmetic; Digital signal processing; digital signal processing chips; field programmable gate arrays; Field programmable gate arrays; fixed point arithmetic; floating point arithmetic; floating point tangent function; FPGAs; generic polynomial approximation methods; hard floating point DSP blocks; HFP DSP; IEEE-754 single-precision format; Intel DSP Builder Advanced Blockset; OpenCL; reconfigurable architectures; Resource management; resource utilization spectrum; Table lookup", } @InProceedings{Li:2017:FIN, author = "ZhaoFang Li and Yu-Jung Huang and Wei-Cheng Lin", booktitle = "{2017 International Conference on Electron Devices and Solid-State Circuits (EDSSC)}", title = "{FPGA} implementation of neuron block for artificial neural network", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2017", DOI = "https://doi.org/10.1109/EDSSC.2017.8126431", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Artificial neural networks; Biological neural networks; CORDIC; Field programmable gate arrays; FPGA; Machine learning; MATLAB; Neurons; Sigmoid activation function", } @InProceedings{Li:2017:URF, author = "Bingyi Li and Linlin Fang and Yizhuang Xie and He Chen and Liang Chen", booktitle = "{2017 International Conference on Field Programmable Technology (ICFPT)}", title = "A unified reconfigurable floating-point arithmetic architecture based on {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "301--302", year = "2017", DOI = "https://doi.org/10.1109/FPT.2017.8280166", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Field programmable gate arrays; floating-point; FPGA; Hardware; IP networks; reconfigurable; Registers; Signal processing algorithms", } @Article{Lin:2017:DRT, author = "Jiang Lin and L{\"u} Qing and Xie Xiaoyan and Shan Rui and Deng Junyong", title = "Design of a reconfigurable transcendental function generator", journal = "The Journal of China Universities of Posts and Telecommunications", volume = "24", number = "1", pages = "96--102", year = "2017", DOI = "https://doi.org/10.1016/S1005-8885(17)60192-4", ISSN = "1005-8885", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1005888517601924", acknowledgement = ack-nhfb, keywords = "array processor; CORDIC; reconfigurable computing; reconfigurable transcendental function generator", } @InProceedings{Littlewood:2017:MDB, author = "Peter Littlewood and Krishna Murthy Kattiyan Ramamoorthy and Shahnam Mirzaei", booktitle = "{2017 IEEE 13th International Colloquium on Signal Processing \& its Applications (CSPA)}", title = "Modeling of digital baseband interference canceler using {Hilbert} and {Fourier Transforms}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "123--128", year = "2017", DOI = "https://doi.org/10.1109/CSPA.2017.8064936", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Baseband; CORDIC; Digital Signal Processing; Fast Fourier Transformation; Fast Fourier transforms; Finite impulse response filters; Hilbert Transformation; Interference; Interference Canceler; Receivers", } @Book{MacClellan:2017:DF, author = "James H. MacClellan and Ronald W. Schafer and Mark A. Yoder", title = "{DSP} First", publisher = "Pearson", address = "Harlow, US", edition = "Second", pages = "582", year = "2017", ISBN = "1-292-11386-3", ISBN-13 = "978-1-292-11386-9", LCCN = "TK5102.9 .M333 2017", bibdate = "Wed Oct 29 13:10:54 MDT 2025", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", abstract = "DSP First and its accompanying digital assets are the result of more than 20 years of work that originated from, and was guided by, the premise that signal processing is the best starting point for the study of electrical and computer engineering. The ``DSP First'' approach introduces the use of mathematics as the language for thinking about engineering problems, lays the groundwork for subsequent courses, and gives students hands-on experiences with MATLAB. The Second Edition features three new chapters on the Fourier Series, Discrete-Time Fourier Transform, and the The Discrete Fourier Transform as well as updated labs, visual demos, an update to the existing chapters, and hundreds of new homework problems and solutions.", acknowledgement = ack-nhfb, subject = "Multimedia; Digitale Signalverarbeitung", tableofcontents = "Introduction \\ Sinusoids \\ Spectrum representation \\ Sampling and aliasing \\ FIR filters \\ Frequency response of FIR filters \\ Discrete-time Fourier transform \\ Discrete Fourier transform \\ z-Transforms \\ IIR filters \\ Complex numbers \\ Programming in MATLAB \\ Fourier series \\ Laboratory projects", } @Article{Mami:2017:ECD, author = "Sonia Mami and Imen {Ben Saad} and Younes Lahbib and Yassine Hacha{\"\i}chi", title = "Enhanced Configurable {DCT} {CORDIC} {Loeffler} Architectures for Optimal Power-{PSNR} Trade-Off", journal = "Journal of Signal Processing Systems", volume = "90", number = "3", pages = "371--393", month = apr, year = "2017", DOI = "https://doi.org/10.1007/s11265-017-1245-7", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @InBook{Meher:2017:CC, author = "Pramod Kumar Meher and Thanos Stouraitis", booktitle = "{Arithmetic Circuits for DSP Applications}", title = "{CORDIC} Circuits", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "149--185", year = "2017", DOI = "https://doi.org/10.1002/9781119206804.ch5", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Complexity theory; Computer architecture; Hardware; Matrix decomposition; Signal processing algorithms; Transmission line matrix methods", } @Article{Mopuri:2017:LCM, author = "Suresh Mopuri and Amit Acharyya", title = "Low-Complexity Methodology for Complex Square-Root Computation", journal = j-IEEE-TRANS-VLSI-SYST, volume = "25", number = "11", pages = "3255--3259", year = "2017", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2017.2740343", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Complex square root; Complexity theory; Computer architecture; coordinate rotation digital computer (CORDIC); Field programmable gate arrays; Hardware; Logic gates; square root; Transistors; Very large scale integration", } @InProceedings{Nirmala:2017:DCC, author = "Y. N. Nirmala and K. C. Shilpa and S. B. Umesh and Hareesh Kumar", booktitle = "{2017 International Conference on Computing Methodologies and Communication (ICCMC)}", title = "Design of {CORDIC} coprocessor for {SPARC V8}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "200--203", year = "2017", DOI = "https://doi.org/10.1109/ICCMC.2017.8282674", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Clocks; coprocessor; CORDIC; Field programmable gate arrays; Hardware; iterative; Registers; Signal processing algorithms; Table lookup", } @InBook{Niu:2017:MMC, author = "Lifan Niu and Xiaoling Jia and Jun Wu and Zhifeng Zhang", booktitle = "Communications and Networking", title = "A Multi-mode Coordinate Rotation Digital Computer {(CORDIC)}", publisher = "Springer International Publishing", pages = "345--354", month = oct, year = "2017", DOI = "https://doi.org/10.1007/978-3-319-66628-0_33", ISBN = "3-319-66628-2", ISBN-13 = "978-3-319-66628-0", ISSN = "1867-822X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Poczekajlo:2017:HIP, author = "Pawe Poczekaj{\l}o and Krzysztof Wawryn", booktitle = "{2017 MIXDES --- 24th International Conference "Mixed Design of Integrated Circuits and Systems}", title = "Hardware implementation of {3D} pipelined {Laplace} filter based on rotation structures", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "276--280", year = "2017", DOI = "https://doi.org/10.23919/MIXDES.2017.8005215", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "3D; Complexity theory; CORDIC algorithm; FPGA; Hardware; Integrated circuits; Laplace filter; pipelined rotation structures; Quantization (signal); Sensitivity", } @InProceedings{Rai:2017:PCA, author = "Shalini Rai and C. K. Dwivedi and Rajeev Srivastava", booktitle = "{2017 3rd International Conference on Computational Intelligence \& Communication Technology (CICT)}", title = "Pipelined {CORDIC} architecture and its implementation on {Simulink}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--10", year = "2017", DOI = "https://doi.org/10.1109/CIACT.2017.7977355", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Communications technology; Computational intelligence; Computer architecture; Conferences; CORDIC algorithms; Hardware; pipelined CORDIC architecture; Signal processing algorithms; trigonometric functions", } @Article{Ramadoss:2017:RHA, author = "Rajkumar Ramadoss and Mehran Mozaffari Kermani and Reza Azarderakhsh", title = "Reliable Hardware Architectures of the {CORDIC} Algorithm With a Fixed Angle of Rotations", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "64", number = "8", pages = "972--976", year = "2017", DOI = "https://doi.org/10.1109/TCSII.2016.2624508", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Adders; Circuit faults; Computer architecture; Coordinate rotation digital computer (CORDIC); fault detection; Hardware; Registers; reliability; Signal processing algorithms", } @InProceedings{Rudagi:2017:CAR, author = "Jayashri Rudagi and Shaila Subbaraman", booktitle = "{2017 International Conference on Inventive Computing and Informatics (ICICI)}", title = "Comparative analysis of radix-2, radix-4, radix-8 {CORDIC} processors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "378--382", year = "2017", DOI = "https://doi.org/10.1109/ICICI.2017.8365377", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; ADP; Computer architecture; Conferences; CORDIC; Delays; EDP; Informatics; PDP; Power; Program processors; Radix-2; Radix-4; Radix-8; Signal processing algorithms", } @InProceedings{Saha:2017:AEA, author = "Anurup Saha and K. Gaurav Kumar and Archisman Ghosh and Mrinal Kanti Naskar", booktitle = "{2017 International Conference on Circuits, Controls, and Communications (CCUBE)}", title = "Area efficient architecture of Hyperbolic functions for high frequency applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "139--142", year = "2017", DOI = "https://doi.org/10.1109/CCUBE.2017.8394139", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Field programmable gate arrays; FPGA; Hardware; Hardware design languages; High-frequency architecture; hyperbolic functions; Signal processing algorithms; Table lookup; Unified Architecture", } @InProceedings{Sahu:2017:HLC, author = "Anil Kumar Sahu and Vivek Kumar Chandra and G. R. Sinha", booktitle = "{2017 International conference on Microelectronic Devices, Circuits and Systems (ICMDCS)}", title = "High level computation technique for characterization of sigma--delta {A/D} converter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2017", DOI = "https://doi.org/10.1109/ICMDCS.2017.8211601", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Built-in self-test; Built-in-Self Test (BIST); CORDIC; Mathematical model; Modulation; Modulator Performance Evaluation (MPE); Output Response Analyzer (ORA); Sigma-delta modulation; Signal to noise ratio; Signal to Noise Ratio (SNR); TSG", } @InProceedings{Sapper:2017:ECN, author = "Andr{\'e} N. Sapper and Leonardo Soares and Eduardo Costa and Sergio Bampi", booktitle = "{2017 24th IEEE International Conference on Electronics, Circuits and Systems (ICECS)}", title = "Exploring the combination of number of bits and number of iterations for a power-efficient fixed-point {CORDIC} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "302--305", year = "2017", DOI = "https://doi.org/10.1109/ICECS.2017.8292079", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; CORDIC; Field programmable gate arrays; Hardware; high-level; low power; Pipelines; Power demand; Signal processing algorithms; VHDL", } @InProceedings{Setiawan:2017:IBT, author = "Erwin Setiawan and Mukmin Maulana Latin and Vita Awalia Mardiana and Trio Adiono", booktitle = "{2017 International Symposium on Electronics and Smart Devices (ISESD)}", title = "Implementation of baseband transmitter design based on {QPSK} modulation on {Zynq-7000} all-programmable {System-on-Chip}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "138--143", year = "2017", DOI = "https://doi.org/10.1109/ISESD.2017.8253320", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithms; Baseband Signal; CORDIC; Hardware; IP networks; Phase shift keying; QPSK; SoC; Software; Transmitters; ZYBO; Zynq- 7000 AP SoC", } @Article{Shabani:2017:LPD, author = "Ahmad Shabani and Somayeh Timarchi", title = "Low-power {DCT}-based compressor for wireless capsule endoscopy", journal = j-SIGNAL-PROCESS-IMAGE-COMMUN, volume = "59", pages = "83--95", year = "2017", CODEN = "SPICEF", DOI = "https://doi.org/10.1016/j.image.2017.03.003", ISSN = "0923-5965 (print), 1879-2677 (electronic)", ISSN-L = "0923-5965", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0923596517300383", acknowledgement = ack-nhfb, fjournal = "Signal Processing: Image Communication", keywords = "Discrete Cosine Transform; JPEG standard; Lookahead CORDIC; Low-power computing; VLSI; Wireless Capsule Endoscopy", } @Article{Shi:2017:RIF, author = "X. W. Shi and C. Wang and C. L. Zhang", title = "Research and Implementation of Floating-Point Exponential Function Algorithm Based on {FPGA}", journal = "Journal of Computer Measurement and Control", volume = "10", number = "??", pages = "226--228", month = "????", year = "2017", DOI = "", bibdate = "Tue Nov 11 20:15:53 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", URL = "", acknowledgement = ack-nhfb, } @InProceedings{Singh:2017:CDS, author = "Gurwinder Singh and Lakshmi Shrinivasan", booktitle = "{2017 2nd IEEE International Conference on Recent Trends in Electronics, Information \& Communication Technology (RTEICT)}", title = "Concept and design of scaling-free, look-ahead {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1656--1659", year = "2017", DOI = "https://doi.org/10.1109/RTEICT.2017.8256880", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Communications technology; Computer architecture; Conferences; coordinate; coordinate-computation; CORDIC; Generators; Heuristic algorithms; look-ahead; Market research; scaling-free; shift-add", } @InProceedings{Singhal:2017:FIP, author = "Akarshika Singhal and Anjana Goen and Tanutrushna Mohapatra", booktitle = "{2017 7th International Conference on Communication Systems and Network Technologies (CSNT)}", title = "{FPGA} implementation and power efficient {CORDIC} based {ADPLL} for signal processing and application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "325--329", year = "2017", DOI = "https://doi.org/10.1109/CSNT.2017.8418560", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "All Digital Phase Locked Loop (ADPLL); COordinate Rotation DIgital Computer (CORDIC); Direct Digital Synthesizer (DDS); Field programmable gate arrays; Finite impulse response filters; Logic gates; Phase frequency Detector (PFD); Phase Locked Loop (PLL); Phase locked loops; Power harmonic filters; Table lookup; Transforms", } @InProceedings{Sokolovskiy:2017:HDC, author = "A. V. Sokolovskiy and A. B. Gladyshev and D. D. Dmitriev and V. N. Ratushniak", booktitle = "{2017 Dynamics of Systems, Mechanisms and Machines (Dynamics)}", title = "Hardware diagram computing devices navigation equipment consumers {SRNS}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2017", DOI = "https://doi.org/10.1109/Dynamics.2017.8239510", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; CORDIC; Delays; Field programmable gate arrays; Hardware; hardware adder; hardware multiplier; Navigation; pipeline; Pipeline processing", xxnote = "Check: Sokolovskii or Sokolovskiy??", } @InProceedings{Sushma:2017:LAB, author = "Sushma and Venkataratnam and Siva Yellampalli", booktitle = "{2017 International Conference on Electrical, Electronics, Communication, Computer, and Optimization Techniques (ICEECCOT)}", title = "A low-area based {Costas} loop implementation for {BPSK} signals", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "196--200", year = "2017", DOI = "https://doi.org/10.1109/ICEECCOT.2017.8284664", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; CORDIC algorithm; Costas Loop; Filtering algorithms; Finite impulse response filters; Folded and unfolded filters; IIR filters; Low pass filters; LUT based NCO; MATLAB and Simulink; Picture archiving and communication systems; Receivers; Spartan 3e FPGA; Symmetric FIR filter", } @Article{Torres:2017:OCB, author = "V. Torres and J. Valls and M. J. Canet", title = "Optimised {CORDIC}-based {\tt atan2} computation for {FPGA} implementations", journal = j-ELECT-LETTERS, volume = "53", number = "19", pages = "1296--1298", year = "2017", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el.2017.2090", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/el.2017.2090", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/el.2017.2090", fjournal = "Electronics Letters", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", keywords = "field programmable gate arrays, digital arithmetic, table lookup, optimised CORDIC-based atan2 computation, atan2 operator, coordinate rotation digital computer algorithm, z-path computation, look-up table-based FPGA resources", } @Article{Tsai:2017:FGM, author = "Yu-Cheng Tsai and Chiao-En Chen and Chia-Hsiang Yang", title = "A Flexible Geometric Mean Decomposition Processor for {MIMO} Communication Systems", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "64", number = "2", pages = "446--456", year = "2017", DOI = "https://doi.org/10.1109/TCSI.2016.2604380", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "CORDIC; geometric mean decomposition (GMD); Hardware; Matrix decomposition; MIMO; multiple-input-multiple-output (MIMO); precoding; reconfigurable architecture; Throughput; Transceivers; Transmission line matrix methods", } @InProceedings{Vo-Thi:2017:FPF, author = "Phuong-Thao Vo-Thi and Trong-Thuc Hoang and Cong-Kha Pham and Duc-Hung Le", booktitle = "{2017 International Conference on Recent Advances in Signal Processing, Telecommunications \& Computing (SigTelCom)}", title = "A floating-point {FFT} Twiddle factor implementation based on adaptive angle recoding {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "21--26", year = "2017", DOI = "https://doi.org/10.1109/SIGTELCOM.2017.7849789", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Computer architecture; Field programmable gate arrays; OFDM; Signal processing; Signal processing algorithms; Telecommunications", } @InProceedings{Wenming:2017:RTS, author = "Tang Wenming and Liu Guixiong and Li Yuzhong and Tan Daji", booktitle = "{2017 13th IEEE International Conference on Electronic Measurement \& Instruments (ICEMI)}", title = "Real-time S-scan imaging reconstruction for ultrasonic phase array based on {CORDIC} and sectorial interpolation algorithms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "567--572", year = "2017", DOI = "https://doi.org/10.1109/ICEMI.2017.8265894", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustics; Algorithm design and analysis; Field programmable gate arrays; Image reconstruction; Instruments; Interpolation; Radix4-CORDIC; Real-time; Real-time systems; S-scan; sectorial interpolation", } @InProceedings{Xiang:2017:RUC, author = "Li Xiang and Liu Yaohua", booktitle = "{2017 4th International Conference on Information Science and Control Engineering (ICISCE)}", title = "Research on Uncertainty of {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "651--654", year = "2017", DOI = "https://doi.org/10.1109/ICISCE.2017.141", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; Approximation error; Coordinate rotation digital computer (CORDIC); error analysis; Numerical simulation; Simulation; Standards; trigonometric function; uncertainty; Uncertainty; Upper bound", } @Article{Zhang:2017:FIS, author = "Shuiping Zhang and Xin Tian and Chengyi Xiong and Jinwen Tian and Delie Ming", title = "Fast Implementation for the Singular Value and Eigenvalue Decomposition Based on {FPGA}", journal = "Chinese Journal of Electronics", volume = "26", number = "1", pages = "132--136", year = "2017", DOI = "https://doi.org/10.1049/cje.2016.06.033", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational efficiency; CORDIC; Digital computers; Eigenvalues and eigenfunctions; EVD; Field programmable gate arrays; FPGA; Hardware; Jacobi; Logic gates; Performance analysis; Real-time systems; Singular value decomposition; SVD; Systolic arrays", } @Article{Zhu:2017:LLL, author = "Baozhou Zhu and Yuanwu Lei and Yuanxi Peng and Tingting He", title = "Low Latency and Low Error Floating-Point Sine\slash Cosine Function Based {TCORDIC} Algorithm", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "64", number = "4", pages = "892--905", year = "2017", DOI = "https://doi.org/10.1109/TCSI.2016.2631588", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Adders; Algorithm design and analysis; Convergence; CORDIC; Delays; floating-point sine/cosine; low latency; Prediction algorithms; Signal processing algorithms; Table lookup; Taylor", } @InProceedings{Zuluaga:2017:SAN, author = "J. R. Zuluaga and C. H. Rodr{\'\i}guez and L. J. Casta{\~n}{\'o}n and J. L. Naredo", booktitle = "{2017 14th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)}", title = "Sampling approaches for the numerical {Laplace} transform and its {FPGA} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2017", DOI = "https://doi.org/10.1109/ICEEE.2017.8108824", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computational burden; CORDIC; Fast Fourier Transform; Field programmable gate arrays; Fixed point numbers; FPGA; Inverse Numerical Laplace Transform; Laplace equations; Mathematical model; MATLAB; Read only memory; Sampling", } @InProceedings{Barakat:2018:FIC, author = "Mohamed Barakat and Waleed Saad and Mona Shokair", booktitle = "{2018 13th International Conference on Computer Engineering and Systems (ICCES)}", title = "{FPGA} Implementation of Cyclostationary Feature Detector for Cognitive Radio {OFDM} Signals", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "215--218", year = "2018", DOI = "https://doi.org/10.1109/ICCES.2018.8639225", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cognitive radio; Complexity theory; CORDIC; Correlation; Cyclostationary --- Arria V GZ; Detectors; Field programmable gate arrays; OFDM; OFDM signals; Spatial Sign Function", } @InProceedings{Barthel:2018:HIB, author = "Moritz B{\"a}rthel and Jochen Rust and Steffen Paul", booktitle = "{2018 52nd Asilomar Conference on Signals, Systems, and Computers}", title = "Hardware Implementation of Basic Arithmetics and Elementary Functions for Unum Computing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "125--129", year = "2018", DOI = "https://doi.org/10.1109/ACSSC.2018.8645453", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Arithmetic; Clocks; Computer architecture; CORDIC; Field programmable gate arrays; Floating Point; Hardware; Open area test sites; Standards; Unum", } @InBook{Baruah:2018:EVI, author = "Rashmita Baruah and Preetisudha Meher and Ashwini Kumar Pradhan", booktitle = "Information Systems Design and Intelligent Applications", title = "Efficient {VLSI} Implementation of {CORDIC}-Based Multiplier Architecture", publisher = "Springer Singapore", pages = "441--450", month = dec, year = "2018", DOI = "https://doi.org/10.1007/978-981-13-3329-3_41", ISBN = "981-13-3329-7", ISBN-13 = "978-981-13-3329-3", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Biswas:2018:CFQ, author = "Dwaipayan Biswas and Zixuan Ye and Evangelos B. Mazomenos and Michael J{\"o}bges and Koushik Maharatna", booktitle = "{2018 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{CORDIC} Framework for Quaternion-based Joint Angle Computation to Classify Arm Movements", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2018", DOI = "https://doi.org/10.1109/ISCAS.2018.8350967", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "activity recognition; classification; Computer architecture; CORDIC; Elbow; Estimation; Magnetic sensors; MARG sensor; quaternion; Quaternions; Shoulder", } @InProceedings{Biswas:2018:RAB, author = "Rathindra Nath Biswas and Anurup Saha and Swarup Kumar Mitra and Mrinal Kanti Naskar", booktitle = "{2018 Emerging Trends in Electronic Devices and Computational Techniques (EDCT)}", title = "Realization of adaptive beamforming in smart antennas on a reconfigurable architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2018", DOI = "https://doi.org/10.1109/EDCT.2018.8405061", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Ad hoc networks; Adaptive beamforming; Array signal processing; Computer architecture; CORDIC; Field programmable gate arrays; FPGA; FSM; Hardware; PSO; Signal processing algorithms; Smart antennas; Wireless communication", } @InProceedings{Changela:2018:AIH, author = "Ankur Changela and Mazad Zaveri and Anurag Lakhlani", booktitle = "{2018 International Conference on Advances in Computing, Communications and Informatics (ICACCI)}", title = "{ASIC} Implementation of High Performance Radix-8 {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "699--705", year = "2018", DOI = "https://doi.org/10.1109/ICACCI.2018.8554883", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Convergence; Delays; Hardware; Mathematical model; Real-time systems; Very large scale integration", } @InProceedings{Changela:2018:FIA, author = "Ankur Changela and Mazad Zaveri and Anurag Lakhlani", booktitle = "{2018 International Conference on Current Trends towards Converging Technologies (ICCTCT)}", title = "{FPGA} Implementation of Asynchronous Mousetrap Pipelined Radix-2 {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "252--258", year = "2018", DOI = "https://doi.org/10.1109/ICCTCT.2018.8551112", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; Delays; Field programmable gate arrays; Latches; Pipelines; Protocols", } @InProceedings{Chou:2018:NTC, author = "Pei-Yuan Chou and Ya-Bei Fang and Bo-Hao Chen and Chien-Tung Liu and Tay-Ji Lin and Jinn-Shyan Wang", booktitle = "{2018 31st IEEE International System-on-Chip Conference (SOCC)}", title = "Near-Threshold {CORDIC} Design with Dynamic Circuitry for Long-Standby {IoT} Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "250--253", year = "2018", DOI = "https://doi.org/10.1109/SOCC.2018.8618488", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Design methodology; dynamic circuit; Internet of Things; IoT; Manufacturing; near threshold voltage; Pulse generation; Technological innovation; ultra-low leakage; Vehicle dynamics", } @InProceedings{De:2018:MLH, author = "Debaprasad De and Archisman Ghosh and K. Gaurav Kumar and Anurup Saha and Mrinal Kanti Naskar", booktitle = "{2018 IEEE Applied Signal Processing Conference (ASPCON)}", title = "Multiplier-less Hardware Realization of Trigonometric Functions for High Speed Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "149--152", year = "2018", DOI = "https://doi.org/10.1109/ASPCON.2018.8748709", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Conferences; CORDIC; Field programmable gate arrays; FPGA; Hardware; Signal processing; Signal processing algorithms; Table lookup; Trigonometric functions; Unified architecture", } @InProceedings{Elnabawy:2018:LPC, author = "Abdelrahim Elnabawy and Hussien Abdelmohsen and Moatasem Moustafa and Mostafa Elbediwy and Amr Helmy and Hassan Mostafa", booktitle = "{2018 16th IEEE International New Circuits and Systems Conference (NEWCAS)}", title = "A Low Power {CORDIC}-based Hardware Implementation of {Izhikevich} Neuron Model", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "130--133", year = "2018", DOI = "https://doi.org/10.1109/NEWCAS.2018.8585485", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptation models; Application specific integrated circuit (ASIC); Approximation algorithms; Biological system modeling; CORDIC; Hardware; Hardware design languages; Hardware implementation; Izhikevich; Mathematical model; Neuron; Neurons; Spiking Neural Network", } @InProceedings{Evangelista:2018:FPC, author = "Guillermo Evangelista and Carlos Olaya and Erick Rodr{\'\i}guez", booktitle = "{2018 WRC Symposium on Advanced Robotics and Automation (WRC SARA)}", title = "Fully-pipelined {CORDIC}-based {FPGA} Realization for a {3-DOF} Hexapod-Leg Inverse Kinematics Calculation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "237--242", year = "2018", DOI = "https://doi.org/10.1109/WRC-SARA.2018.8584238", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Convergence; CORDIC; FPGA; Hardware; hexapod-leg.; Kinematics; kinematics calculation; Legged locomotion; Read only memory", } @InProceedings{Hoang:2018:HSP, author = "Trong-Thuc Hoang and Cong-Kha Pham and Duc-Hung Le", booktitle = "{2018 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "High-speed 8/16/32-point {DCT} Architecture Using Fixed-rotation Adaptive {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2018", DOI = "https://doi.org/10.1109/ISCAS.2018.8351090", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Computer architecture; Discrete cosine transforms; Encoding; Field programmable gate arrays; Gain; Timing", } @InProceedings{Hoang:2018:VDF, author = "Trong-Thuc Hoang and Duc-Hung Le and Cong-Kha Pham", booktitle = "{2018 IEEE 12th International Symposium on Embedded Multicore/Many-core Systems-on-Chip (MCSoC)}", title = "{VLSI} Design of Floating-Point Twiddle Factor Using Adaptive {CORDIC} on Various Iteration Limitations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "225--232", year = "2018", DOI = "https://doi.org/10.1109/MCSoC2018.2018.00044", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Fast Fourier transforms; Field programmable gate arrays; Floating point; Synthetic aperture radar; Table lookup; Throughput; Timing; Twiddle Factor; VLSI", } @Article{Kulshreshtha:2018:CBH, author = "Tanmai Kulshreshtha and Anindya Sundar Dhar", title = "{CORDIC}-Based High Throughput Sliding {DFT} Architecture with Reduced Error-Accumulation", journal = j-CSSP, volume = "37", number = "11", pages = "5101--5126", month = apr, year = "2018", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-018-0810-z", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InBook{Kumari:2018:RLS, author = "Aishwarya Kumari and D. P. Acharya", booktitle = "Recent Findings in Intelligent Computing Techniques", title = "Reduced Latency Square-Root Calculation for Signal Processing Using Radix-4 Hyperbolic {CORDIC}", publisher = "Springer Singapore", pages = "219--225", year = "2018", DOI = "https://doi.org/10.1007/978-981-10-8636-6_23", ISBN = "981-10-8636-2", ISBN-13 = "978-981-10-8636-6", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Lee:2018:ELL, author = "Hyukyeon Lee and Kyungmook Oh and Minjeong Cho and Yunseok Jang and Jaeseok Kim", title = "Efficient Low-Latency Implementation of {CORDIC}-based Sorted {$ Q R $} Decomposition for Multi-Gbps {MIMO} Systems", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "65", number = "10", pages = "1375--1379", year = "2018", DOI = "https://doi.org/10.1109/TCSII.2018.2853099", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Complexity theory; Coordinate rotation digital computer (CORDIC); Givens rotation; Hardware; Matrix decomposition; MIMO; MIMO communication; QR decomposition (QRD); real-value decomposition (RVD); Sorting; Throughput; Very large scale integration", } @InProceedings{Lee:2018:LLI, author = "Hyukyeon Lee and Hanjun Kim and Minjung Cho and Jaeseok Kim", booktitle = "{2018 28th International Conference Radioelektronika (RADIOELEKTRONIKA)}", title = "Low-latency implementation of {CORDIC}-based sorted {$ Q R $} decomposition for high-speed {MIMO-OFDM} system", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/RADIOELEK.2018.8376356", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antennas; Bit error rate; Complexity theory; Computer architecture; coordinate rotation digital computer(CORDIC); Givens rotation; MIMO communication; multiple-input and multiple-output(MIMO); real-value decomposition(RVD); Silicon carbide; sorted QR decomposition; Sorting", } @Article{Liu:2018:HIP, author = "Tsung-Hsien Liu and Yi-Kuang Ko and Yen-Ju Chiu and Wen-Yen Lin and Yuan-Sun Chu", title = "Hardware Implementation of the Preprocessing {$ Q R $}-Decomposition for the Soft-Output {MIMO} Detection With Multiple Tree Traversals", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "65", number = "2", pages = "186--190", year = "2018", DOI = "https://doi.org/10.1109/TCSII.2017.2703818", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Complexity theory; Computer architecture; CORDIC module; Detectors; Givens rotation; Hardware; MIMO; Multiple input multiple output system; QR-decomposition; Receiving antennas; soft-output detection; Throughput; triangular systolic array", } @InProceedings{Liu:2018:IIC, author = "Peng Liu and Yarong Guo and Yue Li and Song Liu", booktitle = "{2018 International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC)}", title = "{IQ} Imbalance Compensation Based on {CORDIC} Algorithm in {VLC-OFDM} System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "460--4604", year = "2018", DOI = "https://doi.org/10.1109/CyberC.2018.00089", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cordic algorithm; IQ imbalance; LED nonlinearity; Light emitting diodes; Mathematical model; Peak to average power ratio; Phase shift keying; Receivers; Visible light communication", } @Article{Liu:2018:PRB, author = "Yidong Liu and Tieying Ma", title = "Parasitic Resistance-Based High Precision Capacitive {MEMS} Accelerometer Phase Shift and Its Usage for Temperature Compensation", journal = "IEEE Sensors Journal", volume = "18", number = "2", pages = "629--634", year = "2018", DOI = "https://doi.org/10.1109/JSEN.2017.2777864", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accelerometers; Capacitance; Capacitive sensors; CORDIC; MEMS accelerometer; Micromechanical devices; Resistance; temperature coefficient; temperature compensation; Temperature sensors", } @Article{Luo:2018:CBA, author = "Yuanyong Luo and Yuxuan Wang and Huaqing Sun and Yi Zha and Zhongfeng Wang and Hongbing Pan", title = "{CORDIC}-based Architecture for Computing {$N$} th Root and Its Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "65", number = "12", pages = "4183--4195", year = "2018", DOI = "https://doi.org/10.1109/TCSI.2018.2835822", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computer architecture; Convergence; convergence range; CORDIC; fixed-point; Hardware; high speed; Mathematical model; Matlab; Nth root; pipelined structure; Standards; Task analysis", } @InProceedings{Mokhtar:2018:ITF, author = "A. S. N. Mokhtar and M. I. Ayub and N. Ismail and N. G. Nik Daud", booktitle = "{AIP} Conference Proceedings", title = "Implementation of trigonometric function using {CORDIC} algorithms", volume = "1930", publisher = pub-AIP, address = pub-AIP:adr, pages = "020040", year = "2018", DOI = "https://doi.org/10.1063/1.5022934", ISSN = "0094-243x (print), 1551-7616 (electronic), 1935-0465", bibdate = "Sat Oct 18 15:41:08 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } @Book{Muller:2018:HFP, author = "Jean-Michel Muller and Nicolas Brunie and Florent de Dinechin and Claude-Pierre Jeannerod and Mioara Joldes and Vincent Lef{\`e}vre and Guillaume Melquiond and Nathalie Revol and Serge Torres", title = "Handbook of Floating-Point Arithmetic", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, edition = "Second", pages = "xxv + 627", year = "2018", DOI = "https://doi.org/10.1007/978-3-319-76526-6", ISBN = "3-319-76525-6, 3-319-76526-4 (e-book)", ISBN-13 = "978-3-319-76525-9, 978-3-319-76526-6 (e-book)", LCCN = "QA76.9.C62", bibdate = "Fri Jun 1 06:59:01 MDT 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", abstract = "This handbook aims to provide a complete overview of modern floating-point arithmetic. This includes a detailed treatment of the current (IEEE-754) and next (preliminarily called IEEE-754R) standards for floating-point arithmetic.", acknowledgement = ack-nhfb, shorttableofcontents = "Introduction / 3--14 \\ Definitions and Basic Notions / 15--45 \\ Floating-Point Formats and Environment / 47--93 \\ Basic Properties and Algorithms / 97--162 \\ Enhanced Floating-Point Sums, Dot Products, and Polynomial Values / 163--192 \\ Languages and Compilers / 193--230 \\ Algorithms for the Basic Operations / 233--266 \\ Hardware Implementation of Floating-Point Arithmetic / 267--320 \\ Software Implementation of Floating-Point Arithmetic / 321--374 \\ Evaluating Floating-Point Elementary Functions / 375--433 \\ Complex Numbers / 437--452 \\ Interval Arithmetic / 453--477 \\ Verifying Floating-Point Algorithms / 479--511 \\ Extending the Precision / 513--552", subject = "Floating-point arithmetic; Handbooks, manuals, etc; Computer arithmetic; COMPUTERS / Computer Literacy; COMPUTERS / Computer Science; COMPUTERS / Data Processing; COMPUTERS / Hardware / General; COMPUTERS / Information Technology; COMPUTERS / Machine Theory; COMPUTERS / Reference.", tableofcontents = "Intro \\ Contents \\ List of Figures \\ List of Tables \\ Preface \\ I Introduction, Basic Definitions, and Standards \\ 1 Introduction \\ 1.1 Some History \\ 1.2 Desirable Properties \\ 1.3 Some Strange Behaviors \\ 1.3.1 Some famous bugs \\ 1.3.2 Difficult problems \\ 1.3.2.1 A sequence that seems to converge to a wrong limit \\ 1.3.2.2 The Chaotic Bank Society \\ 1.3.2.3 Rump's example \\ 2 Definitions and Basic Notions \\ 2.1 Floating-Point Numbers \\ 2.1.1 Main definitions \\ 2.1.2 Normalized representations, normal and subnormal numbers \\ 2.1.3 A note on underflow \\ 2.1.4 Special floating-point data \\ 2.2 Rounding \\ 2.2.1 Rounding functions \\ 2.2.2 Useful properties \\ 2.3 Tools for Manipulating Floating-Point Errors \\ 2.3.1 Relative error due to rounding \\ 2.3.2 The ulp function \\ 2.3.3 Link between errors in ulps and relative errors \\ 2.3.3.1 Converting from errors in ulps to relative errors \\ 2.3.3.2 Converting from relative errors to errors in ulps \\ 2.3.3.3 Loss of information during these conversions \\ 2.3.4 An example: iterated products \\ 2.4 The Fused Multiply-Add (FMA) Instruction \\ 2.5 Exceptions \\ 2.6 Lost and Preserved Properties of Real Arithmetic \\ 2.7 Note on the Choice of the Radix \\ 2.7.1 Representation errors \\ 2.7.2 A case for radix 10 \\ 2.8 Reproducibility \\ 3 Floating-Point Formats and Environment \\ 3.1 The IEEE 754-2008 Standard \\ 3.1.1 Formats \\ 3.1.1.1 Binary interchange format encodings \\ 3.1.1.2 Decimal interchange format encodings \\ 3.1.1.3 Larger formats \\ 3.1.1.4 Extended and extendable precisions \\ 3.1.1.5 Little-endian, big-endian \\ 3.1.2 Attributes and rounding \\ 3.1.2.1 Rounding direction attributes \\ 3.1.2.2 Alternate exception-handling attributes \\ 3.1.2.3 Preferred width attributes \\ 3.1.2.4 Value-changing optimization attributes \\ 3.1.2.5 Reproducibility attributes \\ 3.1.3 Operations specified by the standard \\ 3.1.3.1 Arithmetic operations and square root \\ 3.1.3.2 Remainders \\ 3.1.3.3 Preferred exponent for arithmetic operations in the decimal format \\ 3.1.3.4 scaleB and logB \\ 3.1.3.5 Miscellaneous \\ 3.1.4 Comparisons \\ 3.1.5 Conversions to/from string representations \\ 3.1.6 Default exception handling \\ 3.1.6.1 Invalid operation \\ 3.1.6.2 Division by zero \\ 3.1.6.3 Overflow \\ 3.1.6.4 Underflow \\ 3.1.6.5 Inexact \\ 3.1.7 Special values \\ 3.1.7.1 NaN: Not a Number \\ 3.1.7.2 Arithmetic of infinities and zeros \\ 3.1.8 Recommended functions \\ 3.2 On the Possible Hidden Use of a Higher Internal Precision \\ 3.3 Revision of the IEEE 754-2008 Standard \\ 3.4 Floating-Point Hardware in Current Processors \\ 3.4.1 The common hardware denominator \\ 3.4.2 Fused multiply-add \\ 3.4.3 Extended precision and 128-bit formats \\ 3.4.4 Rounding and precision control \\ 3.4.5 SIMD instructions \\ 3.4.6 Binary16 (half-precision) support \\ 3.4.7 Decimal arithmetic \\ 3.4.8 The legacy x87 processor \\ 3.5 Floating-Point Hardware in Recent Graphics Processing Units \\ 3.6 IEEE Support in Programming Languages \\ 3.7 Checking the Environment \\ 3.7.1 MACHAR \\ 3.7.2 Paranoia \\ \ldots{} \\ Basic Properties and Algorithms \\ Enhanced Floating-Point Sums, Dot Products, and Polynomial Values \\ Languages and Compilers \\ Algorithms for the Basic Operations \\ Hardware Implementation of Floating-Point Arithmetic \\ Software Implementation of Floating-Point Arithmetic \\ Evaluating Floating-Point Elementary Functions \\ Complex Numbers \\ Interval Arithmetic \\ Verifying Floating-Point Algorithms \\ Extending the Precision", } @InProceedings{Mullane:2018:PPD, author = "Brendan Mullane and Vincent O'Brien", booktitle = "{2018 IEEE 61st International Midwest Symposium on Circuits and Systems (MWSCAS)}", title = "An In-Place Processor Design for Real-Value {FFTs} Targeting in-situ Dynamic {ADC} Test", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "591--594", year = "2018", DOI = "https://doi.org/10.1109/MWSCAS.2018.8623967", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Analog to Digital Converter (ADC); Built-in self-test; Built-In-Self-Test (BIST); Computer architecture; CORDIC; Fast Fourier Transform (FFT); Fast Fourier transforms; Hardware; in-place; Parameter extraction; Real Value Fast Fourier Transform (RFFT); System-on-chip", } @Article{Murty:2018:RME, author = "Mahesh S. Murty and Rahul Shrestha", title = "Reconfigurable and Memory-Efficient Cyclostationary Spectrum Sensor for Cognitive-Radio Wireless Networks", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "65", number = "8", pages = "1039--1043", year = "2018", DOI = "https://doi.org/10.1109/TCSII.2018.2790952", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Algorithm design and analysis; Cognitive radio; Computer architecture; CORDIC; Correlation; cyclostationary signal; Detectors; FPGA; Hardware; OFDM; spectrum sensing; USRP; VLSI architecture; Wireless networks", } @InProceedings{Nguyen:2018:EFP, author = "Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham", booktitle = "{2018 23rd Asia and South Pacific Design Automation Conference (ASP-DAC)}", title = "An efficient fixed-point arithmetic processor using a hybrid {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "327--328", year = "2018", DOI = "https://doi.org/10.1109/ASPDAC.2018.8297343", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Approximation algorithms; CMOS technology; Complexity theory; Hardware; Logic gates; Power demand", } @Article{Nguyen:2018:HPR, author = "Ngoc Hung Nguyen and Sheraz Ali Khan and Cheol-Hong Kim and Jong-Myon Kim", title = "A high-performance, resource-efficient, reconfigurable parallel-pipelined {FFT} processor for {FPGA} platforms", journal = j-MICROPROC-MICROSYS, volume = "60", pages = "96--106", year = "2018", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2018.04.003", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933117302788", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "CSDBE; DDC architecture; FFT; FPGA; Parallel-Pipelined; Radix-2 DIF; {CORDIC} algorithm", } @Article{Nguyen:2018:LPH, author = "Hong-Thu Nguyen and Xuan-Thuan Nguyen and Cong-Kha Pham", title = "A Low-Power Hybrid Adaptive {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "65", number = "4", pages = "496--500", year = "2018", DOI = "https://doi.org/10.1109/TCSII.2017.2732451", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "65 nm; CORDIC; Leakage currents; Logic gates; low power; Power demand; Resource management; SOTB; Threshold voltage; Transistors", } @InProceedings{Omran:2018:FDB, author = "Safaa S. Omran and Ahmed K. Abdul-abbas", booktitle = "{2018 International Conference on Advanced Science and Engineering (ICOASE)}", title = "Fast {$ Q R $} Decomposition Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "189--193", year = "2018", DOI = "https://doi.org/10.1109/ICOASE.2018.8548895", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "32-Bits processor; Computer architecture; CORDIC square root; Field programmable gate arrays; Gram-Schmidt; Mathematical model; Matrix decomposition; MIMO communication; QR decomposition; Registers; Throughput; Verilog HDL", } @InProceedings{Parmar:2018:HEV, author = "Yashrajsinh Parmar and K. Sridharan", booktitle = "{IECON 2018 --- 44th Annual Conference of the IEEE Industrial Electronics Society}", title = "Hardware-Efficient Velocity Estimation of Dynamic Obstacles Based on a Novel Radix-4 {CORDIC} and {FPGA} Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3770--3775", year = "2018", DOI = "https://doi.org/10.1109/IECON.2018.8591409", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximate Radix-4 CORDIC; Computer architecture; Dynamic Obstacles; Estimation; Experiments; Field programmable gate arrays; FPGA Realization; Hardware; Hardware-Efficient Robot Navigation; Mobile robots; Navigation; Read only memory; Velocity Estimation", } @Article{Parmar:2018:PBR, author = "Yashrajsinh Parmar and Krishnamurthy Sridharan", title = "Precomputation-based radix-4 {CORDIC} for approximate rotations and {Hough} transform", journal = "IET Circuits, Devices \& Systems", volume = "12", number = "4", pages = "413--423", year = "2018", DOI = "https://doi.org/10.1049/iet-cds.2017.0492", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/iet-cds.2017.0492", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/iet-cds.2017.0492", keywords = "digital arithmetic, field programmable gate arrays, Hough transforms, precomputation-based radix-4 CORDIC algorithm, approximate rotations, vector rotation, image processing, digital signal processing, robotics, low-overhead sign-precomputation-based architecture, coordinate rotation digital computer algorithm, Z-datapath, arctangent function summation, optimal microrotation angle selection, elementary angles, FPGA, XC7K70T-3FBG676 Kintex-7, Xilinx ISE 13.2, slice-delay product reduction, power-delay product reduction, Hough transform-based lane detection, parameter space", } @InProceedings{Pendem:2018:ECA, author = "Suganda Pendem and Rajshekar B. Shettar", booktitle = "{2018 International Conference on Networking, Embedded and Wireless Systems (ICNEWS)}", title = "Enhancing Computational Accuracy and Performance of Interval Arithmetic Double Rotation {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/ICNEWS.2018.8903935", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Arithmetic; Computer architecture; Cordic; Digital signal processing; DSP; Interval arithmetic; MATLAB; MATLAB and INTLAB; Monitoring; Real-time systems; Signal processing algorithms; Very large scale integration; Wireless communication", } @InProceedings{Polikarovskykh:2018:DDF, author = "O Polikarovskykh and I. V. Gula and L. Kovtun and L. Karpova", booktitle = "{2018 International Conference on Information and Telecommunication Technologies and Radio Electronics (UkrMiCo)}", title = "Direct digital frequency synthesizer with a combined method of synthesis output harmonic signal", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/UkrMiCo43733.2018.9047605", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "adder; Adders; Communications technology; CORDIC; direct frequency synthesizer (DDS); Frequency response; Frequency synthesizers; Harmonic analysis; Synthesizers; Taylor; Taylor series", } @InProceedings{Puzyrev:2018:SFD, author = "Pavel I. Puzyrev and Kirill V. Semenov and Sergey A. Zavyalov", booktitle = "{2018 19th International Conference of Young Specialists on Micro/Nanotechnologies and Electron Devices (EDM)}", title = "Spurious-Free Dynamic Range of {CORDIC} Based Digital Quadrature Demodulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "167--171", year = "2018", DOI = "https://doi.org/10.1109/EDM.2018.8434980", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Demodulation; digital down converter; digital mixer; Digital signal processing; Electron devices; Harmonic analysis; Mixers; Power harmonic filters; SFDR; Signal processing algorithms", } @InBook{Rai:2018:FRS, author = "Shalini Rai and Rajeev Srivastava", booktitle = "Recent Trends in Communication, Computing, and Electronics", title = "{FPGA} Realization of Scale-Free {CORDIC} Algorithm-Based Window Functions", publisher = "Springer Singapore", pages = "245--257", month = dec, year = "2018", DOI = "https://doi.org/10.1007/978-981-13-2685-1_24", ISBN = "981-13-2685-1", ISBN-13 = "978-981-13-2685-1", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Raj:2018:SSH, author = "E. P. Rejil Raj and Bibin Sam Paul and G. Lakshmi Narayanan", booktitle = "{2018 9th International Conference on Computing, Communication and Networking Technologies (ICCCNT)}", title = "Simplified {SIFT} Histogram of Oriented Gradients Bin Locator on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/ICCCNT.2018.8493928", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Feature extraction; Field programmable gate arrays; FPGA; GSS; Hardware; Histograms; HOG; LUT; Real-time systems; Resource management; SIFT; Table lookup", } @Article{Ray:2018:CBV, author = "Kailash Chandra Ray and Anindya Sundar Dhar", title = "{CORDIC}-Based {VLSI} Architectures of Running {DFT} with Refreshing Mechanism", journal = "Journal of Signal Processing Systems", volume = "91", number = "5", pages = "539--550", month = apr, year = "2018", DOI = "https://doi.org/10.1007/s11265-018-1362-y", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @InProceedings{Rekha:2018:FIE, author = "R. Rekha and Karunakara P. Menon", booktitle = "{2018 3rd IEEE International Conference on Recent Trends in Electronics, Information \& Communication Technology (RTEICT)}", title = "{FPGA} implementation of exponential function using {CORDIC} {IP} core for extended input range", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "597--600", year = "2018", DOI = "https://doi.org/10.1109/RTEICT42901.2018.9012611", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC IP Core; Exponential function; Field programmable gate arrays; FPGA; Hardware; hardware implementation; IP networks; Matlab; Signal processing algorithms; Simulation", } @InProceedings{Roy:2018:DSW, author = "S. Roy and D. Kumar and A. Dandapat and P. Saha", booktitle = "{2018 2nd International Conference on Trends in Electronics and Informatics (ICOEI)}", title = "Discretized Sinusoidal Waveform Generators for Signal Processing Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1350--1353", year = "2018", DOI = "https://doi.org/10.1109/ICOEI.2018.8553745", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bhaskara's Sine Approximation; Computer architecture; Conferences; CORDIC; Delays; Error analysis; Hardware; Hardware design languages; Mathematical model; Parabolic Synthesis; Taylor series; Taylor's Series", } @InProceedings{Sahoo:2018:HIC, author = "Anuvab Sahoo and Mamata Panigrahy", booktitle = "{2018 International Conference on Applied Electromagnetics, Signal Processing and Communication (AESPC)}", title = "Hardware Implementation of {CORDIC} Algorithm", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/AESPC44649.2018.9033343", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computer architecture; CORDIC; cosine; Field programmable gate arrays; FPGA; Hardware; pipelined architecture; Read only memory; rotation; Signal processing algorithms; sine; tangent; Throughput", } @InProceedings{Samila:2018:WGD, author = "A. P. Samila and G. I. Lastivka and L. F. Politansky and T. A. Kazemirskiy", booktitle = "{2018 14th International Conference on Advanced Trends in Radioelecrtronics, Telecommunications and Computer Engineering (TCSET)}", title = "Waveform generation for the digital synthesis systems based on embedded hardware", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "831--834", year = "2018", DOI = "https://doi.org/10.1109/TCSET.2018.8336326", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC approximation; digital synthesis; Harmonic distortion; harmonic distortion; Interpolation; linear interpolation", } @InProceedings{Sawant:2018:WGR, author = "Avilash Sawant and Shilpa Patil and K. Aurobindo", booktitle = "{2018 3rd IEEE International Conference on Recent Trends in Electronics, Information \& Communication Technology (RTEICT)}", title = "Waveform generator for {RADAR} using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "905--909", year = "2018", DOI = "https://doi.org/10.1109/RTEICT42901.2018.9012158", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; CORDIC algorithm; Direct digital frequency synthesizer; Doppler radar; Field programmable gate arrays; Radar antennas; RADAR waveforms; Signal generators; Signal resolution; Spartan 6 FPGA", } @Article{Shin:2018:LLA, author = "Dongyeob Shin and Jongsun Park", title = "A Low-Latency and Area-Efficient {Gram Schmidt}-Based {QRD} Architecture for {MIMO} Receiver", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "65", number = "8", pages = "2606--2616", year = "2018", DOI = "https://doi.org/10.1109/TCSI.2018.2795342", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Complexity theory; Computer architecture; CORDIC; energy efficiency; Gram Schmidt; Hardware; hardware efficiency; Matrix decomposition; MIMO; MIMO communication; QR decomposition; Receiving antennas", } @InProceedings{Sokolovskii:2018:HSG, author = "A. V. Sokolovskii and D. D. Dmitriev and I. N. Kartsan and A. E. Goncharov", booktitle = "{2018 Moscow Workshop on Electronic and Networking Technologies (MWENT)}", title = "A harmonic signal generator with a continuous phase", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2018", DOI = "https://doi.org/10.1109/MWENT.2018.8337226", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; digital frequency transformation; direct digital frequency synthesis; Generators; Hardware; Harmonic analysis; instruction pipelining; Pipeline processing; Pipelines; program receiver; Receivers; Signal generators", xxnote = "Check: Sokolovskii or Sokolovskiy??", } @Article{Thiripurasundari:2018:FIN, author = "C. Thiripurasundari and V. Sumathy and C. Thiruvengadam", title = "An {FPGA} implementation of novel smart antenna algorithm in tracking systems for smart cities", journal = j-COMPUT-ELECTR-ENG, volume = "65", pages = "59--66", year = "2018", CODEN = "CPEEBQ", DOI = "https://doi.org/10.1016/j.compeleceng.2017.06.009", ISSN = "0045-7906 (print), 1879-0755 (electronic)", ISSN-L = "0045-7906", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0045790617316609", acknowledgement = ack-nhfb, fjournal = "Computers and Electrical Engineering", keywords = "Beamforming; DOA; MSR-CORDIC; MUSIC; RLS", } @Article{Tseng:2018:DIH, author = "Tzu-Ting Tseng and Chung-An Shen", title = "Design and implementation of a high-throughput configurable pre-processor for {MIMO} detections", journal = j-MICROELECT-J, volume = "72", pages = "14--23", year = "2018", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2017.10.004", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0026269216304669", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "CORDIC; MIMO detection; MMSE; Pre-processor; QR decomposition; Systolic array", } @InProceedings{Wang:2018:DIC, author = "Xiaoyuan Wang", booktitle = "{2018 International Conference on Robots \& Intelligent System (ICRIS)}", title = "Design and Implementation of {CORDIC} Algorithm Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "70--71", year = "2018", DOI = "https://doi.org/10.1109/ICRIS.2018.00026", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Conferences; Coordinate Rotation Algorithm; CORDIC Agorithm; Intelligent systems; Iteration; Robots", } @InProceedings{Wang:2018:FEB, author = "Leiou Wang and Donghui Wang and Chengpeng Hao", booktitle = "{2018 26th European Signal Processing Conference (EUSIPCO)}", title = "A Fast Eigen-Based Signal Combining Algorithm by Using {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "618--622", year = "2018", DOI = "https://doi.org/10.23919/EUSIPCO.2018.8553406", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational efficiency; Correlation; Estimation; Europe; Signal processing algorithms; Signal to noise ratio", } @Article{Wang:2018:VVS, author = "Chao Wang and Jianwen Luo and Jun Zhou", title = "A 1-{V} to 0.29-{V} sub-{100-pJ}\slash operation ultra-low power fast-convergence {CORDIC} processor in 0.18-$ \mu $ m {CMOS}", journal = j-MICROELECT-J, volume = "76", pages = "52--62", year = "2018", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2018.04.013", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S002626921730873X", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "Angle recoding; Computer arithmetic; CORDIC; Sub/near-threshold operation; Ultra-low power design; Ultra-low voltage operation; VLSI design", } @InProceedings{Xie:2018:AFB, author = "Yu Xie and He Chen and Yi-Zhuang Xie and Chuang-An Mao and Bing-Yi Li", booktitle = "{2018 International Conference on Field-Programmable Technology (FPT)}", title = "An Automated {FPGA}-based Fault Injection Platform for Granularly-Pipelined Fault Tolerant {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "370--373", year = "2018", DOI = "https://doi.org/10.1109/FPT.2018.00076", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "C++ languages; Circuit faults; Computer architecture; COordinate Rotation DIgital Computer (CORDIC); Fault Injection; Fault tolerance; Fault tolerant systems; Fault Tolerant(FT); Field programmable gate arrays; Maintenance engineering; Single Event Upset(SEU); SRAM based FPGA", } @Article{Yeh:2018:HSD, author = "Chun-Yu Yeh and Ting-Chung Chu and Chiao-En Chen and Chia-Hsiang Yang", title = "A Hardware-Scalable {DSP} Architecture for Beam Selection in mm-Wave {MU-MIMO} Systems", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "65", number = "11", pages = "3918--3928", year = "2018", DOI = "https://doi.org/10.1109/TCSI.2018.2856124", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Approximation algorithms; Beam selection; beamspace MIMO; Complexity theory; Computer architecture; CORDIC; hybrid beamformer; MIMO communication; mm-wave; Optimized production technology; Phased arrays", } @InProceedings{Yeshwanth:2018:HSS, author = "Balaji Yeshwanth and Vutukuri Venkatesh and Repala Akhil", booktitle = "{2018 International Conference on Electrical, Electronics, Communication, Computer, and Optimization Techniques (ICEECCOT)}", title = "High-Speed Single Precision Floating Point Multiplier using {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "135--141", year = "2018", DOI = "https://doi.org/10.1109/ICEECCOT43722.2018.9001506", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Clocks; Computer architecture; CORDIC algorithm; Delays; Kogge-Stone adder; Parallel Prefixadder; Pipelines; Routing; Signal processing algorithms; Single precision floating point multiplier; Vedic multiplier", } @Article{Zechmeister:2018:CLM, author = "M. Zechmeister", title = "{CORDIC}-like method for solving {Kepler}'s equation", journal = j-ASTRON-ASTROPHYS, volume = "619", pages = "A128", month = nov, year = "2018", CODEN = "AAEJAF", DOI = "https://doi.org/10.1051/0004-6361/201833162", ISSN = "0004-6361 (print), 1432-0746 (electronic)", ISSN-L = "0004-6361", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Astronomy and Astrophysics", journal-URL = "https://www.aanda.org/component/issues/", } @Article{Zechmeister:2018:SKE, author = "Mathias Zechmeister", title = "Solving Kepler's equation {CORDIC}-like", journal = "arXiv.org", volume = "??", number = "??", pages = "??--??", year = "2018", DOI = "https://doi.org/10.48550/arxiv.1808.07062", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/1808.07062", abstract = "Context. Many algorithms to solve Kepler's equations require the evaluation of trigonometric or root functions. Aims. We present an algorithm to compute the eccentric anomaly and even its cosine and sine terms without usage of other transcendental functions at run-time. With slight modifications it is applicable for the hyperbolic case, too.\par Methods. Based on the idea of CORDIC, it requires only additions and multiplications and a short table. The table is independent of eccentricity and can be hardcoded. Its length depends on the desired precision. Results. The code is short. The convergence is linear for all mean anomalies and eccentricities e (including e = 1). As a stand-alone algorithm, single and double precision is obtained with 29 and 55 iterations, respectively. One half or two third of the iterations can be saved in combination with Newton's or Halley's method at the cost of one division.", acknowledgement = ack-nhfb, keywords = "Instrumentation and Methods for Astrophysics (astro-ph.IM), Earth and Planetary Astrophysics (astro-ph.EP), Solar and Stellar Astrophysics (astro-ph.SR), FOS: Physical sciences, FOS: Physical sciences", } @Article{Zhao:2018:CBM, author = "Dixian Zhao and Pingyang He", title = "{CORDIC}-based Multi-{Gb/s} Digital Outphasing Modulator for Highly Efficient Millimeter-Wave Transmitters", journal = "Wireless Communications and Mobile Computing", volume = "2018", number = "1", pages = "7216870", year = "2018", DOI = "https://doi.org/10.1155/2018/7216870", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1155/2018/7216870", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1155/2018/7216870", } @InProceedings{Bui:2019:VMS, author = "Ngoc-Tu Bui and Trong-Thuc Hoang and Duc-Hung Le and Cong-Kha Pham", booktitle = "{2019 IEEE International Conference on Industrial Technology (ICIT)}", title = "A 0.75-V {32-MHz 181-$ \mu $W} {SOTB-65nm} Floating-point Twiddle Factor Using Adaptive {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "835--840", year = "2019", DOI = "https://doi.org/10.1109/ICIT.2019.8754955", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Decision making; Frequency measurement; Registers; Semiconductor device measurement; Silicon; Table lookup", } @InProceedings{Bui:2019:VMW, author = "Ngoc-Tu Bui and Trong-Thuc Hoang and Akinori Yamamoto and Duc-Hung Le and Cong-Kha Pham", booktitle = "{2019 IEEE SOI-3D-Subthreshold Microelectronics Technology Unified Conference (S3S)}", title = "A 0.75-V {58-MHz 340-} {W} {SOTB-65nm 32-point} {DCT} Implementation Based on Fixed-rotation Adaptive {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2019", DOI = "https://doi.org/10.1109/S3S46989.2019.9320693", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Discrete cosine transforms; Logic gates; Semiconductor device measurement; Throughput; Very large scale integration; Voltage measurement", } @InProceedings{Chakraborty:2019:LLS, author = "Anirban Chakraborty and Ayan Banerjee", booktitle = "{2019 International Conference on Communication and Signal Processing (ICCSP)}", title = "Low Latency Semi-iterative {CORDIC} Algorithm using Normalized Angle Recoding and its {VLSI} Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "0913--0920", year = "2019", DOI = "https://doi.org/10.1109/ICCSP.2019.8698040", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Angle Recoding; Clocks; Computer architecture; CORDIC; FPGA; Hardware; High Radix; Low Latency; Normalized Angle.; Signal processing algorithms; Two dimensional displays; Very large scale integration; VLSI Architecture", } @InBook{Datta:2019:IUM, author = "Debarshi Datta and Partha Mitra and Himadri Sekhar Dutta", booktitle = "Computational Intelligence, Communications, and Business Analytics", title = "Implementation of Universal Modulator Using {CORDIC} Architecture in {FPGA}", publisher = "Springer Singapore", pages = "434--441", year = "2019", DOI = "https://doi.org/10.1007/978-981-13-8578-0_34", ISBN = "981-13-8578-5", ISBN-13 = "978-981-13-8578-0", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Dmitriev:2019:PSG, author = "Dmitry Dmitriev and Aleksey Sokolovskiy and Andrey Gladyshev and Vasily Ratushniak and Valery Tyapkin", booktitle = "{2019 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT)}", title = "Pseudorandom Sequence Generator Using {CORDIC} Processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "477--480", year = "2019", DOI = "https://doi.org/10.1109/USBEREIT.2019.8736647", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, keywords = "Code Division Multiple Access; computing pipeline; CORDIC processor; Field programmable gate arrays; Frequency modulation; Hardware; Multiaccess communication; Pseudorandom sequence; Random sequences; Signal generators; Synchronization", } @InProceedings{Elshafiy:2019:OMR, author = "Ahmed Elshafiy and Mohammed A. El-Motaz and Mohamed E. Farag and Omar A. Nasr and Hossam A. H. Fahmy", booktitle = "{2019 IEEE Wireless Communications and Networking Conference (WCNC)}", title = "On Optimization of Mixed-Radix {FFT}: a Signal Processing Approach", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2019", DOI = "https://doi.org/10.1109/WCNC.2019.8885635", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Computer architecture; CORDIC; FFT; Hardware; Mixed-Radix; OFDM; Optimization; Pipelines; Read only memory; SDF", } @InProceedings{Fan:2019:ECI, author = "Yu-Cheng Fan and Chiao-An Chu and Yi-Cheng Liu", booktitle = "{2019 IEEE International Conference on Consumer Electronics --- Taiwan (ICCE-TW)}", title = "Efficient {CORDIC} Iteration Design of {LiDAR} Point Cloud Map Reconstruction Technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2019", DOI = "https://doi.org/10.1109/ICCE-TW46550.2019.8991704", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Chip scale packaging; Companies; Consumer electronics; Digital computers; Distance measurement; Laser radar; Point cloud compression", } @Article{Fang:2019:GSC, author = "Linlin Fang and Yizhuang Xie and Bingyi Li and He Chen", title = "Generation scheme of chirp scaling phase functions based on floating-point {CORDIC} processor", journal = "The Journal of Engineering", volume = "2019", number = "21", pages = "7436--7439", year = "2019", DOI = "https://doi.org/10.1049/joe.2019.0623", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/joe.2019.0623", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/joe.2019.0623", keywords = "synthetic aperture radar, floating point arithmetic, field programmable gate arrays, radar imaging, logic design, function generators, chirp scaling phase functions, chirp scaling phase function generation scheme, CORDIC algorithm, single precision floating-point CORDIC processor, nonlinear operations, hardware resource reduction scheme, unified CORDIC processor, division operation, Xilinx XC7VX690T FPGA platform, SAR imaging system, CS synthetic aperture radar imaging algorithm, multiplication operation, square root operation", } @InProceedings{Gao:2019:DGC, author = "Shaoquan Gao and Hanjun Jiang and Fule Li and Zhihua Wang", booktitle = "{2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS)}", title = "{DCO} gain calibration technique in fractional-N --- {PLL} based two-point phase modulators", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "718--721", year = "2019", DOI = "https://doi.org/10.1109/MWSCAS.2019.8885206", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Calibration; CORDIC; DCO; Frequency measurement; Frequency modulation; gain mismatch; Phase modulation; Transceivers; Transmitters; two-point modulation", } @Article{Gao:2019:EEU, author = "Yang Gao and Jian Liu and Zhiwu Zhang", title = "$ \delta $-error elimination using truncation retention method and implementation on {FPGA} for non-redundant {CORDIC}", journal = j-J-PHYS-CONF-SER, volume = "1237", number = "2", pages = "022145", month = jun, year = "2019", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/1237/2/022145", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Tue Nov 11 13:39:29 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", } @Article{Gassoumi:2019:EDC, author = "Ismail Gassoumi and Lamjed Touil and Bouraoui Ouni and Abdellatif Mtibaa", title = "An efficient design of {CORDIC} in quantum-dot cellular automata technology", journal = j-INT-J-ELECTRON, volume = "106", number = "12", pages = "2039--2056", month = jul, year = "2019", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2019.1636301", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @InProceedings{Gomar:2019:DPR, author = "Sh. Gomar and M. Ahmadi", booktitle = "{2019 26th IEEE International Conference on Electronics, Circuits and Systems (ICECS)}", title = "A Digital Pseudo Random Number Generator Based on a Chaotic Dynamic System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "610--613", year = "2019", DOI = "https://doi.org/10.1109/ICECS46596.2019.8964861", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Chaotic communication; Chaotic Pseudo Random Number Generator (CPRNG); Chaotic systems; Circuits; CORDIC algorithm; Costs; Cryptography; Dynamical systems; Field Programmable Gate Array (FPGA); Field programmable gate arrays; Generators; Hardware; Integrated circuit modeling", } @InProceedings{Gupta:2019:PTR, author = "Arpit Gupta and Arashdeep Kaur and Malay Kishore Dutta and Ji {\'\i} Schimmel", booktitle = "{2019 42nd International Conference on Telecommunications and Signal Processing (TSP)}", title = "Perceptually Transparent \& Robust Audio Watermarking Algorithm Using Multi Resolution Decomposition \& {CORDIC} {$ Q R $} Decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "313--317", year = "2019", DOI = "https://doi.org/10.1109/TSP.2019.8768894", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AWGN; Cordic QR Decomposition; Data Hiding; Digital Watermarking; Information Security; Multi Resolution Decomposition; Payloads; Robustness; Signal processing algorithms; Signal resolution; Signal to noise ratio; Watermarking", } @InProceedings{Hao:2019:VID, author = "Liu Hao and Wang Ming-Jiang and Chen Mo-Ran and Liu Ming", booktitle = "{2019 IEEE 4th International Conference on Signal and Image Processing (ICSIP)}", title = "A {VLSI} Implementation of Double Precision Floating-Point Logarithmic Function", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "345--349", year = "2019", DOI = "https://doi.org/10.1109/SIPROCESS.2019.8868367", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Convergence; CORDIC algorithm; Delays; double precision; floating-point number; Hardware; logarithmic function; Parallel processing; Prediction algorithms; Very large scale integration; VLSI", } @Article{Heidarpur:2019:CSF, author = "Moslem Heidarpur and Arash Ahmadi and Majid Ahmadi and Mostafa Rahimi Azghadi", title = "{CORDIC-SNN}: On-{FPGA} {STDP} Learning With {Izhikevich} Neurons", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "66", number = "7", pages = "2651--2661", year = "2019", DOI = "https://doi.org/10.1109/TCSI.2019.2899356", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "biological neuron model; Biological system modeling; Computational modeling; CORDIC; digital implementation; Field programmable gate arrays; FPGA; Hardware; Izhikevich neuron; neuromorphic; Neuromorphics; Neurons; on-FPGA; online; spiking neural network; STDP", xxnote = "Check author: Heidarpour or Heidarpur??", } @Article{Hoang:2019:LPF, author = "Trong-Thuc Hoang and Xuan-Thuan Nguyen and Duc-Hung Le and Cong-Kha Pham", title = "Low-Power Floating-Point Adaptive-{CORDIC}-based {FFT} Twiddle Factor on 65-nm {Silicon-on-Thin-BOX} ({SOTB}) With Back-Gate Bias", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "66", number = "10", pages = "1723--1727", year = "2019", DOI = "https://doi.org/10.1109/TCSII.2019.2928138", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Back-gate bias; Circuits and systems; CORDIC; Delays; Energy consumption; floating-point; Frequency measurement; low-power; Memory management; SOTB; Table lookup; twiddle factor", } @InProceedings{Hou:2019:LLF, author = "Nanxin Hou and Mingjiang Wang and Xiafeng Zou and Ming Liu", booktitle = "{2019 IEEE 4th International Conference on Signal and Image Processing (ICSIP)}", title = "A Low Latency Floating Point {CORDIC} Algorithm for Sin\slash Cosine Function", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "751--755", year = "2019", DOI = "https://doi.org/10.1109/SIPROCESS.2019.8868623", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Circuits and systems; Conferences; CORDIC; Digital arithmetic; Digital signal processing; double-precision; floating-point; IEEE transactions; Image processing; low latency; Manganese; sin/cosine", } @InProceedings{Inguva:2019:FBI, author = "Sharath Chandra Inguva and J. B. Seventline", booktitle = "{2019 International Conference on Intelligent Sustainable Systems (ICISS)}", title = "{FPGA} based Implementation of Low power {CORDIC} architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "389--395", year = "2019", DOI = "https://doi.org/10.1109/ISS1.2019.8907946", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Canonical signed digit Technique; Computer architecture; Conferences; CORDIC; Field programmable gate arrays; FPGA; Hardware; Hcub Algorithm; High Speed; low area; Low power; Mathematical model; Quantization (signal)", } @InProceedings{Jaquenod:2019:ICA, author = "Guillermo A. Jaquenod", booktitle = "{2019 Argentine Conference on Electronics (CAE)}", title = "Improved {CORDIC} Angle Computation for {RF} Applications Using an Autorange Circuit", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "6--8", year = "2019", DOI = "https://doi.org/10.1109/CAE.2019.8709293", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Field programmable gate arrays; fixed point arithmetic; Fixed-point arithmetic; FPGA; Hardware; hardware optimization; Multiplexing; radio communications; Registers; Signal to noise ratio; Standards", } @Article{Jing:2019:NOM, author = "Zhang Jing", title = "No-overflowing Magnification Scheme in Redundant {CORDIC} algorithm and its implementation in {FPGA}", journal = j-J-PHYS-CONF-SER, volume = "1345", number = "4", pages = "042050", month = nov, year = "2019", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/1345/4/042050", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Tue Nov 11 13:41:26 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", } @InBook{Jyothi:2019:AIF, author = "Grande Naga Jyothi and Kundu Debanjan and Gorantla Anusha", booktitle = "Soft Computing for Problem Solving", title = "{ASIC} Implementation of Fixed-Point Iterative, Parallel, and Pipeline {CORDIC} Algorithm", publisher = "Springer Singapore", pages = "341--351", month = nov, year = "2019", DOI = "https://doi.org/10.1007/978-981-15-0035-0_27", ISBN = "981-15-0035-5", ISBN-13 = "978-981-15-0035-0", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Kulshreshtha:2019:IVA, author = "Tanmai Kulshreshtha and Anindya Sundar Dhar", title = "Improved {VLSI} architecture for triangular windowed sliding {DFT} based on {CORDIC} algorithm", journal = "IET Circuits, Devices \& Systems", volume = "13", number = "2", pages = "251--258", year = "2019", DOI = "https://doi.org/10.1049/iet-cds.2018.5110", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/iet-cds.2018.5110", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/iet-cds.2018.5110", keywords = "(DFT) bins; application specific integrated circuits; computation proceeds; COordinate rotation DIgital computer algorithm; CORDIC algorithm; correct outputs; digital arithmetic; direct cascading; discrete Fourier; discrete Fourier transforms; field programmable gate arrays; final output; generalised architecture; hardware description languages; high-throughput rate; odd bins; SDFT modules; signal processing; triangular windowed; very-large-scale integration architecture; VLSI; VLSI architecture", } @InProceedings{Kumar:2019:FIT, author = "Puli Anil Kumar", booktitle = "{2019 5th International Conference on Advanced Computing \& Communication Systems (ICACCS)}", title = "{FPGA} Implementation of the Trigonometric Functions Using the {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "894--900", year = "2019", DOI = "https://doi.org/10.1109/ICACCS.2019.8728315", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ArcTangent; Communication systems; Computational modeling; CORDIC; Exponential; Field programmable gate arrays; Hardware; Logarithm; Polar to Rectangular conversion; Signal processing algorithms; Table lookup; Trigonometric function", } @Article{Li:2019:DIS, author = "Ching-Iang Li and Gwo-Dong Chen and Tze-Yun Sung and Huai-Fang Tsai", title = "Design and Implementation of Smart Multi-Touch Interface Using Special Purpose {CORDIC} Processor", journal = j-IEEE-TRANS-CONSUMER-ELECTRONICS, volume = "65", number = "4", pages = "516--525", year = "2019", CODEN = "ITCEDA", DOI = "https://doi.org/10.1109/TCE.2019.2932465", ISSN = "0098-3063 (print), 1558-4127 (electronic)", ISSN-L = "0098-3063", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Consumer Electronics", keywords = "Calibration; Cameras; Computer architecture; Consumer electronics; CORDIC; Graphical user interfaces; homography; multi-touch interface; Tracking; Trajectory; trajectory estimation", } @Article{Liu:2019:HFL, author = "Shaohan Liu and Dake Liu", title = "A High-Flexible Low-Latency Memory-Based {FFT} Processor for {4G}, {WLAN}, and Future {5G}", journal = j-IEEE-TRANS-VLSI-SYST, volume = "27", number = "3", pages = "511--523", year = "2019", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2018.2879675", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "5G mobile communication; Application-specific instruction-set processor designer; Clocks; coordinate rotation digital computer (CORDIC); domain-specific architecture (DSA); fast Fourier transform (FFT); Hardware; Memory architecture; orthogonal frequency-division multiplexing (OFDM); Throughput; Wireless LAN", } @Article{Liu:2019:LCM, author = "Tsung-Hsien Liu and You-Zhi Ye and Chen-Kai Huang and Chiao-En Chen and Yin-Tsung Hwang and Yuan-Sun Chu", title = "A Low-Complexity Maximum Likelihood Detector for the Spatially Modulated Signals: Algorithm and Hardware Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "66", number = "11", pages = "1820--1824", year = "2019", DOI = "https://doi.org/10.1109/TCSII.2019.2896350", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Complexity theory; Computer architecture; CORDIC module; Givens rotation; Hardware; Indexes; maximum likelihood detection; Payloads; QR-decomposition; Receiving antennas; Spatial modulation; Transmitting antennas", } @Article{Luo:2019:CGH, author = "Yuanyong Luo and Yuxuan Wang and Yajun Ha and Zhongfeng Wang and Siyuan Chen and Hongbing Pan", title = "Corrections to {Generalized Hyperbolic CORDIC and Its Logarithmic and Exponential Computation With Arbitrary Fixed Base [Sep 19 DOI: 10.1109/TVLSI.2019.2919557]}", journal = j-IEEE-TRANS-VLSI-SYST, volume = "27", number = "9", pages = "2222--2222", year = "2019", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2019.2932174", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See \cite{Luo:2019:GHC}.", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Approximation methods; Digital computers; Iterative methods; Power demand", } @Article{Luo:2019:GHC, author = "Yuanyong Luo and Yuxuan Wang and Yajun Ha and Zhongfeng Wang and Siyuan Chen and Hongbing Pan", title = "Generalized Hyperbolic {CORDIC} and Its Logarithmic and Exponential Computation With Arbitrary Fixed Base", journal = j-IEEE-TRANS-VLSI-SYST, volume = "27", number = "9", pages = "2156--2169", year = "2019", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2019.2919557", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", note = "See corrections \cite{Luo:2019:CGH}.", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Approximation methods; Architecture; Digital computers; exponential; generalized hyperbolic COordinate Rotation Digital Computer (GH CORDIC); Hardware; hyperbolic CORDIC; Iterative methods; logarithm; Matlab; Power demand; Very large scale integration", } @InProceedings{Ma:2019:LCD, author = "Shang Ma and Xuesi Wang and Yongjie Li and Kai Long and Bixin Zhu and Xin Lei", booktitle = "{2019 IEEE 13th International Conference on ASIC (ASICON)}", title = "A Low Complexity {DDS} Based On Optimized {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2019", DOI = "https://doi.org/10.1109/ASICON47005.2019.8983676", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "6G mobile communication; Adders; Approximation algorithms; Complexity theory; Delays; Frequency synthesizers; Hardware; Libraries; Power demand", } @Article{Mahdavi:2019:ATP, author = "Hossein Mahdavi and Somayeh Timarchi", title = "Area Time Power Efficient {FFT} Architectures Based on Binary-Signed-Digit {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "66", number = "10", pages = "3874--3881", year = "2019", DOI = "https://doi.org/10.1109/TCSI.2019.2922988", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "94A12 (65T50)", MRnumber = "4022484", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1468.94181", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "94A12,65T50; binary signed-digit number system; CORDIC; Discrete Fourier transforms; Encoding; FFT; Hardware; Image coding; posibit-negabit encoding; Power demand; Table lookup", ZBmath = "7385613", } @InProceedings{Manupotisreenivasulu:2019:EMB, author = "Manupotisreenivasulu and T. Meenpal", booktitle = "{2019 IEEE International Conference on Electrical, Computer and Communication Technologies (ICECCT)}", title = "Efficient {MUX} Based {CORDIC} on {FPGA} for Signal Processing Application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2019", DOI = "https://doi.org/10.1109/ICECCT.2019.8869306", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC algorithm; Digital computers; Field programmable gate arrays; Field-programmable gate arrays ( FPGAs); Hardware; multiplexer; Multiplexing; Pipeline processing; pipelining; ration mode; Signal processing algorithms", } @Article{Mopuri:2019:CRB, author = "Suresh Mopuri and Swati Bhardwaj and Amit Acharyya", title = "Coordinate Rotation-Based Design Methodology for Square Root and Division Computation", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "66", number = "7", pages = "1227--1231", year = "2019", DOI = "https://doi.org/10.1109/TCSII.2018.2878599", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Circuits and systems; Computer architecture; CORDIC; Covariance matrices; Design methodology; division; Hardware; Matrix decomposition; Monitoring; Square root", } @Article{Mopuri:2019:CRM, author = "Suresh Mopuri and Amit Acharyya", title = "Configurable Rotation Matrix of Hyperbolic {CORDIC} for Any Logarithm and Its Inverse computation", journal = j-CSSP, volume = "39", number = "5", pages = "2551--2573", month = sep, year = "2019", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-019-01277-w", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @Article{Mopuri:2019:LCG, author = "Suresh Mopuri and Amit Acharyya", title = "Low Complexity Generic {VLSI} Architecture Design Methodology for {$ N^{\rm th} $} Root and {$ N^{\rm th} $} Power Computations", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "66", number = "12", pages = "4673--4686", year = "2019", DOI = "https://doi.org/10.1109/TCSI.2019.2939720", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Art; Complexity theory; Computer architecture; CORDIC; exponential; Hardware; hyperbolic CORDIC; Indexes; logarithm; power computation; root computation; Very large scale integration; VLSI architecture", } @Article{Moradi:2019:SEI, author = "Hamed Moradi and Fahimeh Hosseinibalam and Smaeyl Hassanzadeh", title = "Simulation and experimental investigation about interferometric optical fiber acoustic sensor for sensitivity enhancement", journal = j-MEASUREMENT, volume = "137", pages = "556--561", year = "2019", DOI = "https://doi.org/10.1016/j.measurement.2019.01.073", ISSN = "0263-2241 (print), 1873-412x (electronic)", ISSN-L = "0263-2241", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0263224119300855", acknowledgement = ack-nhfb, fjournal = "Measurement: Journal of the International Measurement Confederation", keywords = "Demodulation; Interferometry; Optical fiber acoustic sensor; Reflected power; {CORDIC} algorithm", } @InBook{Navalgund:2019:CBD, author = "Anish K. Navalgund and V. Akshara and Ravali Jadhav and Shashank Shankar and S. Sandya", booktitle = "Emerging Research in Computing, Information, Communication and Applications", title = "Comparison Between the {DDFS} Implementation Using the Look-up Table Method and the {CORDIC} Method", publisher = "Springer Singapore", pages = "601--607", year = "2019", DOI = "https://doi.org/10.1007/978-981-13-6001-5_50", ISBN = "981-13-6001-4", ISBN-13 = "978-981-13-6001-5", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Osta:2019:FIA, author = "Mario Osta and Ali Ibrahim and Maurizio Valle", booktitle = "{2019 26th IEEE International Conference on Electronics, Circuits and Systems (ICECS)}", title = "{FPGA} Implementation of Approximate {CORDIC} Circuits for Energy Efficient Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "127--128", year = "2019", DOI = "https://doi.org/10.1109/ICECS46596.2019.8964758", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC; Digital computers; Electronic circuits; Energy efficiency; Energy Efficient techniques; Field programmable gate arrays; Low Power circuits; Machine learning; Machine learning algorithms; Power demand; Real-time systems; Tuning", } @InProceedings{Raditya:2019:DSS, author = "Murry Raditya and Purwadi Agus Darwito and Arviandi Cikadiarta and Halimatus Sadiyah and Aditya Wimansyah and Effran Rajagukguk", booktitle = "{2019 International Conference on Advanced Mechatronics, Intelligent Manufacture and Industrial Automation (ICAMIMIA)}", title = "Design of Sinusoidal Signal Generator Using Pipelined {CORDIC} Architecture Based on {Altera Cyclone II FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "105--108", year = "2019", DOI = "https://doi.org/10.1109/ICAMIMIA47173.2019.9223410", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Clocks; Computer architecture; CORDIC algorithm; Cyclones; Field programmable gate arrays; FPGA; Intel Altera; Pipelined architecture; Registers; Signal generators; Signal processing algorithms; Table lookup; Time-frequency analysis", } @InBook{Raut:2019:ELP, author = "Gopal Raut and Vishal Bhartiy and Gunjan Rajput and Sajid Khan and Ankur Beohar and Santosh Kumar Vishvakarma", booktitle = "{VLSI} Design and Test", title = "Efficient Low-Precision {CORDIC} Algorithm for Hardware Implementation of Artificial Neural Network", publisher = "Springer Singapore", pages = "321--333", year = "2019", DOI = "https://doi.org/10.1007/978-981-32-9767-8_28", ISBN = "981-329-767-0", ISBN-13 = "978-981-329-767-8", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Saalfeld:2019:CBD, author = "Tobias Saalfeld and Tobias Piwczyk and Ralf Wunderlich and Stefan Heinen", booktitle = "{2019 Kleinheubach Conference}", title = "A {CORDIC}-based Demodulator for Digital Baseband Processing in Multi-Standard Receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2019", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/8890171/", acknowledgement = ack-nhfb, keywords = "Baseband; Clocks; Demodulation; Finite impulse response filters; Frequency shift keying; Passband", } @InProceedings{Shiri:2019:FIS, author = "Aidin Shiri and Ghader Karimian Khosroshahi", booktitle = "{2019 27th Iranian Conference on Electrical Engineering (ICEE)}", title = "An {FPGA} Implementation of Singular Value Decomposition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "416--422", year = "2019", DOI = "https://doi.org/10.1109/IranianCEE.2019.8786719", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC Algorithm; Field programmable gate arrays; FPGA; Hardware; Hardware Implementation; Jacobian matrices; Matrix decomposition; Parallel processing; Real-time systems; Singular Value Decomposition; Software algorithms", } @InProceedings{Sokolovskiy:2019:PDH, author = "A. V. Sokolovskiy and V. N. Tyapkin and E. A. Veisov and Yu.L. Fateev", booktitle = "{2019 International Siberian Conference on Control and Communications (SIBCON)}", title = "The Pipelined {$ Q R $} Decomposition Hardware Architecture Based On {Givens} Rotation {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2019", DOI = "https://doi.org/10.1109/SIBCON.2019.8729615", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; adders architecture; Computer architecture; CORDIC; Delays; FPGA; Givens rotation; Hardware; hardware algorithm; Mathematical model; Matrix decomposition; pipelined architecture; QR decomposition; Signal processing algorithms", xxnote = "Check: Sokolovskii or Sokolovskiy??", } @InProceedings{Steins:2019:DDE, author = "Manuel Steins and Simon M{\"u}ller and Andreas R. Diewald", booktitle = "{2019 23rd International Conference on Applied Electromagnetics and Communications (ICECOM)}", title = "Digital {Doppler} Effect Generation with {CORDIC} Algorithm for Radar Target Simulations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2019", DOI = "https://doi.org/10.1109/ICECOM48045.2019.9163654", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Baseband; CORDIC; Delays; Doppler effect; Doppler radar; FPGA; Mathematical model; Mixers; radar; radar target simulator; VHDL; Xilinx", } @InProceedings{Su:2019:BDC, author = "Yali Su and Zejie Kuang and Guohe Zhang and Li Sun", booktitle = "{2019 IEEE International Conference of Intelligent Applied Systems on Engineering (ICIASE)}", title = "A 14-bit {DDS} Circuit Design Based on {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "321--323", year = "2019", DOI = "https://doi.org/10.1109/ICIASE45644.2019.9074119", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Conferences; CORDIC algorithm; Delays; Direct digital synthesis; Field programmable gate arrays; Frequency synthesizers; Hardware; high-precision; Logic gates; Read only memory", } @InProceedings{Tiwari:2019:VPB, author = "Honey Durga Tiwari", booktitle = "{2019 5th International Conference on Advanced Computing \& Communication Systems (ICACCS)}", title = "{Vedic} processor based trigonometric calculations using power series", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "118--123", year = "2019", DOI = "https://doi.org/10.1109/ICACCS.2019.8728430", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array Multiplier; Communication systems; Computer architecture; CORDIC; Cube circuit; Field programmable gate arrays; Hardware; Logic gates; Mathematics; Multiplier; Power demand; Square Architecture; trigonometric functions; Vedic Mathematics", } @Article{Vachhani:2019:CSN, author = "Leena Vachhani", title = "{CORDIC} as a Switched Nonlinear System", journal = j-CSSP, volume = "39", number = "6", pages = "3234--3249", month = nov, year = "2019", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-019-01295-8", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InBook{Venkatesh:2019:EHS, author = "Vutukuri Venkatesh and Balaji Yeswanth and Repala Akhil and Ravi Kumar Jatoth", booktitle = "Advances in {VLSI}, Communication, and Signal Processing", title = "An Efficient High-Speed {CORDIC} Algorithm Using Parallel-Prefix Adders {(PPA)}", publisher = "Springer Singapore", pages = "805--813", month = dec, year = "2019", DOI = "https://doi.org/10.1007/978-981-32-9775-3_73", ISBN = "981-329-775-1", ISBN-13 = "978-981-329-775-3", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Vyas:2019:HEI, author = "Pranjal Vyas and Leena Vachhani and K. Sridharan", title = "Hardware-efficient interval analysis based collision detection and avoidance for mobile robots", journal = "Mechatronics", volume = "62", pages = "102258", year = "2019", DOI = "https://doi.org/10.1016/j.mechatronics.2019.102258", ISSN = "0957-4158", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0957415819300911", acknowledgement = ack-nhfb, keywords = "Collision avoidance; Collision detection; Coordinate Rotation Digital Computer (CORDIC); Dynamic obstacle; Field Programmable Gate Array (FPGA); Interval analysis; Robotics", } @InProceedings{Wadkar:2019:LLS, author = "Sumit Satyavijay Wadkar and Bishnu Prasad Das and Pramod Kumar Meher", booktitle = "{2019 IEEE International Symposium on Smart Electronic Systems (iSES) (Formerly iNiS)}", title = "Low Latency Scaling-Free Pipeline {CORDIC} Architecture Using Augmented {Taylor} Series", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "312--315", year = "2019", DOI = "https://doi.org/10.1109/iSES47678.2019.00077", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Approximation algorithms; Computer architecture; Function approximation; Hardware; Pipelines; Scaling free CORDIC, augmented Taylor series approximation, pipeline architecture, FPGA; Taylor series", } @Article{Weissbrich:2019:FRC, author = "M. Wei{\ss}brich and L. Gerlach and H. Blume and A. Najafi and A. Garc{\'\i}a-Ortiz and G. Pay{\'a}-Vay{\'a}", title = "{FLINT+}: a runtime-configurable emulation-based stochastic timing analysis framework", journal = j-INTEGRATION-VLSI-J, volume = "69", pages = "120--137", year = "2019", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/j.vlsi.2019.01.002", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0167926017307794", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "CORDIC; FPGA; Timing analysis; Timing behavior emulation", } @Article{Wu:2019:SPB, author = "Chun-Hun Wu and Pei-Yun Tsai", title = "An {SVD} Processor Based on {Golub Reinsch} Algorithm for {MIMO} Precoding With Adjustable Precision", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "66", number = "7", pages = "2572--2583", year = "2019", DOI = "https://doi.org/10.1109/TCSI.2019.2899211", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; https://www.math.utah.edu/pub/bibnet/authors/r/reinsch-christian-h.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "bidiagonalization; CORDIC; Degradation; Golub-Reinsch SVD; Interference; Jacobian matrices; Matrix decomposition; MIMO communication; MIMO precoding; Precoding; Signal to noise ratio; SVD", } @InProceedings{Xu:2019:FCS, author = "Qunwei Xu and Zhun Hu and Jun Wu and Wentao Lv and Hongyang Huang", booktitle = "2019 22nd International Conference on Electrical Machines and Systems {(ICEMS)}", title = "Fast Control Strategy of {APF} Based on Improved {DFT} Algorithm and Repetitive Control with Multiple Control Frequency in Synchronous Rotation Coordinates", publisher = "IEEE", pages = "1--6", month = aug, year = "2019", DOI = "https://doi.org/10.1109/icems.2019.8922157", bibdate = "Wed Nov 12 08:09:32 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithms", } @InProceedings{Xue:2019:DIE, author = "Yuan Xue and Zhongsong Ma", booktitle = "{2019 IEEE 4th International Conference on Signal and Image Processing (ICSIP)}", title = "Design and Implementation of an Efficient Modified {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "480--484", year = "2019", DOI = "https://doi.org/10.1109/SIPROCESS.2019.8868732", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Convergence; CORDIC algorithm; Field programmable gate arrays; FPGA; Hardware; Mathematical model; Scaling-Free; Signal processing algorithms; Upper bound", } @Article{Zhu:2019:DPS, author = "Weibin Zhu and Shengjin Ye and Yao Huang and Zi Xue", title = "Design of a precise subdivision system for gratings using a modified {CORDIC} algorithm", journal = "IET Circuits, Devices \& Systems", volume = "13", number = "8", pages = "1284--1291", year = "2019", DOI = "https://doi.org/10.1049/iet-cds.2019.0150", bibdate = "Wed Oct 29 15:08:31 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1049/iet-cds.2019.0150", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1049/iet-cds.2019.0150", keywords = "amplitude deviation; angle-measurement accuracy; angle-measuring device; angular measurement; arccosine functions; circular grating; digital arithmetic; digital subdivision; direct current offset deviation; double-rotation iteration; dynamic response; error compensation; field programmable gate arrays; field-programmable gate array chip; function generator; function generators; grating lines; grating Moircg{\'e} signal; ideal subdivision effect; light interferometers; measurement error; measurement errors; MicroE system; modified CORDIC algorithm; Moir{\'e} signals; nonlinear subdivision; precise subdivision system design; robust linearisation method; rotation digital computer algorithm; sinusoidal signal; stable signals", } @Article{Zou:2019:ARH, author = "Xiafeng Zou and Mingjiang Wang", title = "Algorithm Research and Hardware Implementation of High Precision Floating Point Exponential Function", journal = j-J-PHYS-CONF-SER, volume = "1345", number = "4", pages = "042085", month = nov, year = "2019", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/1345/4/042085", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Tue Nov 11 13:46:40 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", keywords = "CORD vector mode; exp(); IEEE 754 64-bit floating-point", } @InProceedings{Akhil:2020:DAA, author = "Repala Akhil and Jithendreswar Rao Koleti and Adusumilli Vijaya Bhaskar and Volladam Sathish and Bolepalli Arjun Goud", booktitle = "{2020 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)}", title = "Delay and Area analysis of hardware implementation of {FFT} using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2020", DOI = "https://doi.org/10.1109/CONECCT50063.2020.9198617", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; CORDIC algorithm; Delays; Discrete Fourier transforms; Field programmable gate arrays; floating point multiplier; Hardware; Kogge--Stone adder(KSA); Mathematical model; Propagation delay; ripple carry adder(RCA); Single precision floating point multiplier; Vedic multiplier", } @InProceedings{Anju:2020:PDP, author = "P. Anju and A. A. Bazil Raj and Chandra Shekhar", booktitle = "{2020 4th International Conference on Intelligent Computing and Control Systems (ICICCS)}", title = "Pulse {Doppler} Processing --- a Novel Digital Technique", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1089--1095", year = "2020", DOI = "https://doi.org/10.1109/ICICCS48265.2020.9120950", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; DDS design; Doppler effect; Doppler frequency; Doppler radar; Estimation; Field programmable gate arrays; FPGA; Frequency estimation; Hardware; I/Q signals; MATLAB; pulse radar; Radar signal processing; Signal processing algorithms; Time-frequency analysis", } @InProceedings{Annafianto:2020:FIL, author = "N. Fajar R. Annafianto and M. V. Jabir and I. A. Burenkov and H. F. Ugurdag and A. Battou and S. V. Polyakov", booktitle = "{2020 IEEE East-West Design \& Test Symposium (EWDTS)}", title = "{FPGA} Implementation of a Low Latency and High {SFDR} Direct Digital Synthesizer for Resource-Efficient Quantum-Enhanced Communication", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2020", DOI = "https://doi.org/10.1109/EWDTS50664.2020.9225029", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Convergence; CORDIC; DDS; Field programmable gate arrays; FPGA; Frequency shift keying; Hardware; latency; Mathematical model; Memory management; pipeline; SFDR; Table lookup", } @Article{Aranda:2020:RHD, author = "Luis Alberto Aranda and Francisco Garcia-Herrero and Luis Esteban and Alfonso S{\'a}nchez-Maci{\'a}n and Juan Antonio Maestro", title = "Radiation Hardened Digital Direct Synthesizer With {CORDIC} for Spaceborne Applications", journal = j-IEEE-ACCESS, volume = "8", pages = "83167--83176xo", year = "2020", DOI = "https://doi.org/10.1109/ACCESS.2020.2991882", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "CORDIC; digital signal processing; dual modular redundancy; fault tolerance; Field programmable gate arrays; Hardware; Parallel architectures; radiation; Radiation hardening (electronics); Signal processing algorithms; Single event upsets; Synthesizers", } @Article{Banerjee:2020:NPC, author = "Ayan Banerjee and Anindya Sundar Dhar", title = "A Novel Paradigm of {CORDIC}-Based {FFT} Architecture Framed on the Optimality of High-Radix Computation", journal = j-CSSP, volume = "40", number = "1", pages = "311--334", month = jun, year = "2020", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-020-01472-0", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @Article{Bose:2020:FAE, author = "Sudipta Bose and Arijit De and Indrajit Chakrabarti", title = "Framework for Automated Earthquake Event Detection Based on Denoising by Adaptive Filter", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "67", number = "9", pages = "3070--3083", year = "2020", DOI = "https://doi.org/10.1109/TCSI.2020.2984960", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computer architecture; Coordinate rotational digital computer (CORDIC); earthquake early warning system (EEWS); Earthquakes; Event detection; FPGA and ASIC design; half-unit biased (HUB) format; Real-time systems; short-time-average/long-time-average (STA/LTA) algorithm; Signal processing algorithms; Steady-state; Very large scale integration", } @InProceedings{Cao:2020:CBA, author = "Yongxiang Cao and Wan'ang Xiao and Jingdun Jia", booktitle = "{2020 International Conference on High Performance Big Data and Intelligent Systems ({HPBD\&IS})}", title = "A {CORDIC}-based Acceleration Method on {FPGA} for {CNN} Normalization Layer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2020", DOI = "https://doi.org/10.1109/HPBDIS49115.2020.9130596", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration Method; Convolution; Cordic; Field programmable gate arrays; FPGA; IP networks; Normalization; Quantization (signal)", } @InProceedings{Cao:2020:CBS, author = "Yongxiang Cao and Wan'ang Xiao and Jingdun Jia and Dehua Wu and Weixin Zhou", booktitle = "{2020 IEEE International Conference on Artificial Intelligence and Information Systems (ICAIIS)}", title = "Cordic-based Softmax Acceleration Method of Convolution Neural Network on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "66--70", year = "2020", DOI = "https://doi.org/10.1109/ICAIIS49377.2020.9194894", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acceleration; acceleration method; Agriculture; Convergence; Cordic; Electrical engineering; Field programmable gate arrays; Fitting; FPGA; Softmax; Standardization", } @InProceedings{Chakraborty:2020:NVA, author = "Anirban Chakraborty and Ayan Banerjee", booktitle = "{2020 Sixth International Conference on Bio Signals, Images, and Instrumentation (ICBSII)}", title = "A Novel {VLSI} Architecture of {CORDIC} Based Image Registration", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2020", DOI = "https://doi.org/10.1109/ICBSII49132.2020.9167539", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Computer architecture; CORDIC; FPGA; Hardware; Image registration; Pipelining; Real-time systems; TME; Two dimensional displays; Very large scale integration; VLSI architecture", } @Article{Changela:2020:FIH, author = "Ankur Changela and Mazad Zaveri and Deepak Verma", title = "{FPGA} implementation of high-performance, resource-efficient Radix-16 {CORDIC} rotator based {FFT} algorithm", journal = j-INTEGRATION-VLSI-J, volume = "73", pages = "89--100", year = "2020", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/j.vlsi.2020.03.008", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S016792601930570X", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Canonical signed digit (CSD); CORDIC algorithm; Double-path delay commutator (DDC); FFT; FPGA; Redundant arithmetic", } @InProceedings{Chen:2020:CBA, author = "Hui Chen and Lin Jiang and Yuanyong Luo and Zhonghai Lu and Yuxiang Fu and Li Li and Zongguang Yu", booktitle = "{2020 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A {CORDIC}-based Architecture with Adjustable Precision and Flexible Scalability to Implement Sigmoid and Tanh Functions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2020", DOI = "https://doi.org/10.1109/ISCAS45731.2020.9180864", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "adjustable precision; CMOS technology; Computer architecture; CORDIC; flexible scalability; Frequency synthesizers; Matlab; Scalability; Semiconductor device modeling; sigmoid; Software; tanh", } @Article{Chen:2020:EMP, author = "Lirui Chen and Zuocheng Xing and Yongzhong Li and Shikai Qiu", title = "Efficient {MIMO} Preprocessor With Sorting-Relaxed {$ Q R $} Decomposition and Modified Greedy {LLL} Algorithm", journal = j-IEEE-ACCESS, volume = "8", pages = "54085--54099", year = "2020", DOI = "https://doi.org/10.1109/ACCESS.2020.2980922", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Complexity theory; CORDIC; Detectors; greedy LLL; Hardware; lattice reduction; LLL; Matrix decomposition; MIMO; MIMO communication; Sorting; SQRD; VLSI", } @Article{Chen:2020:HCB, author = "Hui Chen and Kaifeng Cheng and Zhonghai Lu and Yuxiang Fu and Li Li", title = "Hyperbolic {CORDIC}-based Architecture for Computing Logarithm and Its Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "67", number = "11", pages = "2652--2656", year = "2020", DOI = "https://doi.org/10.1109/TCSII.2020.2971974", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "CMOS technology; Computational modeling; Computer architecture; Convergence; Hardware; Hyperbolic CORDIC; logarithm; pipelined structure; shift-add operations; Software", } @InProceedings{Chen:2020:IMC, author = "Wenjun Chen and Tianya Wu and Wangwang Tang and Kai Jin and Guangming Huang", booktitle = "{2020 IEEE 3rd International Conference on Electronics Technology (ICET)}", title = "Implementation Method of {CORDIC} Algorithm to Improve {DDFS} Performance", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "58--62", year = "2020", DOI = "https://doi.org/10.1109/ICET49382.2020.9119621", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "binary to bipolar recoding; COORDINATE Rotation Digital Computer(CORDIC); Delays; direct digital frequency synthesizer (DDFS); Dynamic range; field programmable gate array(FPGA); Frequency synthesizers; Heuristic algorithms; Logic gates; Merging; Parallel processing; phase accumulator", } @Article{Chen:2020:VII, author = "Yuan-Ho Chen and Szi-Wen Chen and Min-Xian Wei", title = "A {VLSI} Implementation of Independent Component Analysis for Biomedical Signal Separation Using {CORDIC} Engine", journal = "IEEE Transactions on Biomedical Circuits and Systems", volume = "14", number = "2", pages = "373--381", year = "2020", DOI = "https://doi.org/10.1109/TBCAS.2020.2974049", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Application-specific integrated circuit (ASIC); Biomedical Signal Separation; Clocks; CMOS technology; Computer architecture; Coordinate rotation digital computer (CORDIC); Hardware; Independent component analysis (ICA); Logic gates; Signal processing algorithms; Very large scale integration; Very large scale integration (VLSI)", } @InProceedings{Datta:2020:FBD, author = "Debarshi Datta and Partha Mitra and Himadri Sekhar Dutta", booktitle = "{2020 IEEE VLSI Device Circuit and System (VLSI DCS)}", title = "{FPGA}-based Digital Down Converter for {GSM} Application", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "299--299", year = "2020", DOI = "https://doi.org/10.1109/VLSIDCS47293.2020.9179939", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cascaded integrated comb (CIC); Computer architecture; Coordinate Rotation Digital Computer (CORDIC); Digital down converter (DDC); Field Programmable Gate Array (FPGA); Field programmable gate arrays; Finite impulse response filters; GSM; Half-band (HB); Hardware; Low pass filters; Matched filters; Systolic Symmetric Finite Impulse Response (SSFIR)", } @InProceedings{Dutt:2020:HSL, author = "Rashi Dutt and Amit Acharyya", booktitle = "{2020 European Conference on Circuit Theory and Design (ECCTD)}", title = "A High Speed and Low Complexity Architecture Design Methodology for Square Root Unscented {Kalman} Filter based {SLAM}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2020", DOI = "https://doi.org/10.1109/ECCTD49232.2020.9218287", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Computational modeling; Computer architecture; Covariance matrices; Householder CORDIC; Kalman filters; Low Complexity Architecture; Simultaneous localization and mapping; Simultaneous Localization and Mapping; Square Root Unscented Kalman Filter", } @Article{Fang:2020:URC, author = "Linlin Fang and Bingyi Li and Yizhuang Xie and He Chen and Long Pang", title = "A unified reconfigurable {CORDIC} processor for floating-point arithmetic", journal = j-INT-J-ELECTRON, volume = "107", number = "9", pages = "1436--1450", month = feb, year = "2020", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2020.1726497", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @Article{Faraji:2020:HBU, author = "S. Rasoul Faraji and Kia Bazargan", title = "Hybrid Binary--Unary Hardware Accelerator", journal = j-IEEE-TRANS-COMPUT, volume = "69", number = "9", pages = "1308--1319", month = sep, year = "2020", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2020.2971596", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Wed Aug 12 14:58:16 2020", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2020.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "alternator logic; Computer architecture; CORDIC; Delays; edge detection; Field programmable gate arrays; Hardware; hardware accelerators; Hybrid computing system; Logic gates; scaling network; stochastic computing; Stochastic processes; Thermometers; unary computing system", } @InProceedings{Florio:2020:EVN, author = "Antonello Florio and Gianfranco Avitabile and Giuseppe Coviello", booktitle = "{2020 IEEE 20th Mediterranean Electrotechnical Conference (MELECON)}", title = "An Experimental Validation of the Na{\"\i}ve Approach to Angle of Arrival Estimation for Green {WSNs}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "165--168", year = "2020", DOI = "https://doi.org/10.1109/MELECON48756.2020.9140528", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive Beamforming; Angle of Arrival; CORDIC; Estimation; Hardware; Internet of Things; Linear antenna arrays; LP-WAN; Market research; Measurement; Phased Arrays; Power demand; Wireless sensor networks", } @InProceedings{Ghosh:2020:FAU, author = "Amitava Ghosh and Uttaran De and Vivek Chaurasia and Zahid Iqbal and Zainab Sultan", booktitle = "{2020 4th International Conference on Electronics, Materials Engineering \& Nano-Technology (IEMENTech)}", title = "A fast architecture using {CORDIC} for simultaneous calculation of {Hankel} transforms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2020", DOI = "https://doi.org/10.1109/IEMENTech51367.2020.9270103", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Approximation error; architecture; Bibliographies; computation time; Computational modeling; Computer architecture; CORDIC; error analysis; fast Fourier transform; Hankel transforms; Mathematical model; Transforms", } @Article{Heidarpur:2020:CAT, author = "Moslem Heidarpur and Parvin Khosravifar and Arash Ahmadi and Majid Ahmadi", title = "{CORDIC-Astrocyte}: Tripartite {Glutamate-IP3-Ca}$^{2+}$ Interaction Dynamics on {FPGA}", journal = "IEEE Transactions on Biomedical Circuits and Systems", volume = "14", number = "1", pages = "36--47", year = "2020", DOI = "https://doi.org/10.1109/TBCAS.2019.2953631", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Astrocyte; Biological system modeling; biological-plausible; Calcium; CORDIC; digital implementation; Field programmable gate arrays; FPGA; glutamate release; Hardware; Mathematical model; neuromorphic; Neurons; spiking neural network", } @InProceedings{Heidarpur:2020:CSF, author = "Moslem Heidarpur and Arash Ahmadi and Majid Ahmadi and Mostafa Rahimi Azghadi", booktitle = "{2020 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{CORDIC-SNN}: On-{FPGA} {STDP} Learning with {Izhikevich} Neurons", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--1", year = "2020", DOI = "https://doi.org/10.1109/ISCAS45731.2020.9180463", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptation models; biological neuron model; Biological system modeling; Computational modeling; CORDIC; digital implementation; Field programmable gate arrays; FPGA; Hardware; Izhikevich neuron; neuromorphic; Neuromorphics; Neurons; on-FPGA; online; spiking neural network; STDP", } @Article{Jain:2020:EFD, author = "Prachi Jain and Ananiah Durai", title = "Efficient fault diagnosis for {CORDIC} Algorithm by using {Hamming} codes", journal = j-J-PHYS-CONF-SER, volume = "1716", number = "1", pages = "012041", month = dec, year = "2020", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/1716/1/012041", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Tue Nov 11 13:41:52 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", } @Article{Johnson:2020:EAHa, author = "Jeff Johnson", title = "Efficient, arbitrarily high precision hardware logarithmic arithmetic for linear algebra", journal = "arxiv.org", volume = "??", number = "??", pages = "1--8", day = "14", month = may, year = "2020", bibdate = "Tue Jul 06 18:17:13 2021", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://arxiv.org/pdf/2004.09313.pdf", abstract = "The logarithmic number system (LNS) is arguably not broadly used due to exponential circuit overheads for summation tables relative to arithmetic precision. Methods to reduce this overhead have been proposed, yet still yield designs with high chip area and power requirements. Use remains limited to lower precision or high multiply/add ratio cases, while much of linear algebra (near 1:1 multiply/add ratio) does not qualify.\par We present a dual-base approximate logarithmic arithmetic comparable to floating point in use, yet unlike LNS it is easily fully pipelined, extendable to arbitrary precision with $ O(n^2) $ overhead, and energy efficient at a 1:1 multiply/add ratio.Compared to float32 or float64 vector inner product with FMA, our design is respectively $ 2.3 \times $ and $ 4.6 \times $ more energy efficient in 7 nm CMOS. It depends on exp and log evaluation $ 5.4 \times $ and $ 3.2 \times $ more energy efficient, at $ 0.23 \times $ and $ 0.37 \times $ the chip area for equivalent accuracy versus standard hyperbolic CORDIC using shift-and-add and approximated ODE integration in the style of Revol and Yakoubsohn. This technique is a novel alternative for low power, high precision hardened linear algebra in computer vision, graphics and machine learning applications.", acknowledgement = ack-nhfb, keywords = "approximate arithmetic; elementary function evaluation; hardware linear algebra; logarithmic arithmetic", remark = "Published in \cite{Johnson:2020:EAHb}.", } @InProceedings{Johnson:2020:EAHb, author = "Jeff Johnson", title = "Efficient, arbitrarily high precision hardware logarithmic arithmetic for linear algebra", crossref = "Cornea:2020:ISC", pages = "25--32", month = jun, year = "2020", DOI = "https://doi.org/10.1109/ARITH48897.2020.00013", ISSN = "2576-2265", bibdate = "Wed Jul 7 06:24:52 2021", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "The logarithmic number system (LNS) is arguably not broadly used due to exponential circuit overheads for summation tables relative to arithmetic precision. Methods to reduce this overhead have been proposed, yet still yield designs with high chip area and power requirements. Use remains limited to lower precision or high multiply/add ratio cases, while much of linear algebra (near 1:1 multiply/add ratio) does not qualify. We present a dual-base approximate logarithmic arithmetic comparable to floating point in use, yet unlike LNS it is easily fully pipelined, extendable to arbitrary precision with $ O(n^2) $ overhead, and energy efficient at a 1:1 multiply/add ratio. Compared to float32 or float64 vector inner product with FMA, our design is respectively $ 2.3 \times $ and $ 4.6 \times $ more energy efficient in 7 nm CMOS. It depends on exp and log evaluation 5.4 and $ 3.2 \times $ more energy efficient, at $ 0.23 \times $ and $ 0.37 \times $ the chip area for equivalent accuracy versus standard hyperbolic CORDIC using shift-and-add and approximated ODE integration in the style of Revol and Yakoubsohn. This technique is a novel alternative for low power, high precision hardened linear algebra in computer vision, graphics and machine learning applications.", acknowledgement = ack-nhfb, keywords = "Adders; approximate arithmetic; Clocks; elementary function evaluation; Hardware; hardware linear algebra; Linear algebra; logarithmic arithmetic; Pipeline processing; Read only memory; Switches", } @InProceedings{Kagalkar:2020:CBI, author = "Aishwarya Kagalkar and S. Raghuram", booktitle = "{2020 24th International Symposium on VLSI Design and Test (VDAT)}", title = "{CORDIC} Based Implementation of the Softmax Activation Function", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2020", DOI = "https://doi.org/10.1109/VDAT50263.2020.9190498", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Biological neural networks; Deep Learning; Digital Design; Field programmable gate arrays; Hardware; Machine learning; Neuromorphic Circuits; Neuromorphics; Softmax Activation; Table lookup; Timing", } @InBook{Kajur:2020:HRG, author = "Renuka Kajur and K. V. Prasad", booktitle = "Applied Informatics and Cybernetics in Intelligent Systems", title = "Hardware Realization of {GMSK} System Using Pipelined {CORDIC} Module on {FPGA}", publisher = "Springer International Publishing", pages = "21--31", year = "2020", DOI = "https://doi.org/10.1007/978-3-030-51974-2_3", ISBN = "3-030-51974-0", ISBN-13 = "978-3-030-51974-2", ISSN = "2194-5365", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Kavitha:2020:EFA, author = "M. S. Kavitha and P. Rangarajan", title = "An Efficient {FPGA} Architecture for Reconfigurable {FFT} Processor Incorporating an Integration of an Improved {CORDIC} and Radix-2r Algorithm", journal = j-CSSP, volume = "39", number = "11", pages = "5801--5829", month = may, year = "2020", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-020-01436-4", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @InBook{Khan:2020:DLP, author = "Mohammed Wajid Khan and V. Vannammal Revathy and S. Kaja Mohideen", booktitle = "Nanoelectronics, Circuits and Communication Systems", title = "Design of Low Power Barrel Shifter Architecture by Using Proposed {MUX} Based {CORDIC} in {CMOS} Logic", publisher = "Springer Singapore", pages = "727--737", month = nov, year = "2020", DOI = "https://doi.org/10.1007/978-981-15-7486-3_62", ISBN = "981-15-7486-3", ISBN-13 = "978-981-15-7486-3", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InBook{Khankin:2020:ECB, author = "Daniel Khankin and Elad Raz and Ilan Tayari", booktitle = "Cyber Security Cryptography and Machine Learning", title = "Efficient {CORDIC}-Based Sine and Cosine Implementation for a Dataflow Architecture: (Extended Abstract)", publisher = "Springer International Publishing", pages = "128--142", year = "2020", DOI = "https://doi.org/10.1007/978-3-030-49785-9_9", ISBN = "3-030-49785-2", ISBN-13 = "978-3-030-49785-9", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Kubinec:2020:SAA, author = "Peter Kubinec and Jozef P{\'u}{\v{c}}ik and Miroslav Hagara and Elena Cocherov{\'a} and Old{\v{r}}ich Ondr{\'a}{\v{c}}ek", booktitle = "{2020 30th International Conference Radioelektronika (RADIOELEKTRONIKA)}", title = "Successive Approximation Algorithm for Complex Number Magnitude and Argument Computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2020", DOI = "https://doi.org/10.1109/RADIOELEKTRONIKA49387.2020.9092432", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "approximation; Approximation algorithms; Approximation error; argument; complex number; CORDIC; Digital signal processing; Field programmable gate arrays; modulus; Photonics; Signal processing algorithms; square root; Task analysis", } @Article{Kumar:2020:HER, author = "Vikas Kumar and Mithun Mukherjee and Jaime Lloret", title = "A Hardware-Efficient and Reconfigurable {UFMC} Transmitter Architecture With its {FPGA} Prototype", journal = "IEEE Embedded Systems Letters", volume = "12", number = "4", pages = "109--112", year = "2020", DOI = "https://doi.org/10.1109/LES.2019.2961850", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "5G; Baseband; Clocks; Computer architecture; coordinate-rotation-digital-computer (CORDIC); field-programmable gate array (FPGA); flexible architecture; Generators; Hardware; hardware implementation; Random access memory; Transmitters; universal-filtered multicarrier (UFMC)", } @Article{Li:2020:HTL, author = "Diwei Li and Dixian Zhao", title = "High-Throughput Low-Power Area-Efficient Outphasing Modulator Based on Unrolled and Pipelined Radix-2 {CORDIC}", journal = j-IEEE-TRANS-VLSI-SYST, volume = "28", number = "2", pages = "480--491", year = "2020", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2019.2946199", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "COordinate Rotation Digital Computer (CORDIC); energy efficient; Field programmable gate arrays; Hardware; high throughput; Linearity; Millimeter wave communication; millimeter-wave transmitter; Modulation; outphasing modulator (OPM); Throughput; Transmitters", } @Article{Liang:2020:RLR, author = "Ying Liang and Ke Li Li and Fang Hong Bi and Kun Zhang and Jun Yang", title = "Research on {LFMCW} Radar Velocity Ranging Optimization System Based on {FPGA}", journal = "Procedia Computer Science", volume = "166", pages = "187--194", year = "2020", DOI = "https://doi.org/10.1016/j.procs.2020.02.046", ISSN = "1877-0509", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Proceedings of the 3rd International Conference on Mechatronics and Intelligent Robotics (ICMIR-2019)", URL = "https://www.sciencedirect.com/science/article/pii/S187705092030168X", acknowledgement = ack-nhfb, keywords = "Dual-Core FFT; FPGA; Optimized {CORDIC} parallel algorithm; Ranging; Speed", } @Article{Liu:2020:FAH, author = "Duanmao Liu and Yinfei Pan and Rongsheng Lu", title = "{FPGA}-assisted high-precision, high-speed {3D} shape measurement", journal = "Sensors and Actuators A: Physical", volume = "315", pages = "112366", year = "2020", DOI = "https://doi.org/10.1016/j.sna.2020.112366", ISSN = "0924-4247", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0924424720316824", acknowledgement = ack-nhfb, keywords = "FPGA acceleration; Inverse-phase error compensation; Multi-frequency method; Phase shifting profilometry", } @Article{Mahdavi:2020:IAB, author = "Hossein Mahdavi and Somayeh Timarchi", title = "Improving Architectures of Binary Signed-Digit {CORDIC} With Generic\slash Specific Initial Angles", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "67", number = "7", pages = "2297--2304", year = "2020", DOI = "https://doi.org/10.1109/TCSI.2020.2978765", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Acceleration; Adders; binary signed-digit number system; Computer architecture; CORDIC; Encoding; look-ahead CORDIC; Microsoft Windows; posibit-negabit encoding; Power demand; Signal processing algorithms", } @InProceedings{Ozkilbac:2020:DHI, author = "Bahad{\i}r {\"O}zk{\i}lba{\c{c}} and Tevhit Karacal{\i}", editor = "????", booktitle = "{2020 12th International Conference on Electrical and Electronics Engineering (ELECO), 26--28 November 2020, Bursa, Turkey}", title = "Design and Hardware Implementation of Bit Length Adjustable Cosine and Sine Generator with {CORDIC} Algorithm in {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "145--149", year = "2020", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/9317179/", acknowledgement = ack-nhfb, keywords = "Digital computers; Field programmable gate arrays; Generators; Hardware; Signal processing algorithms; Silicon compounds; Table lookup", remark = "No DOI available in IEEE Xplore database.", } @InProceedings{Paliwal:2020:HDI, author = "Atharv Paliwal and Bhavik Mohindroo and Kriti Suneja", booktitle = "{2020 5th IEEE International Conference on Recent Advances and Innovations in Engineering (ICRAIE)}", title = "Hardware Design of Image Encryption and Decryption Using {CORDIC} Based Chaotic Generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2020", DOI = "https://doi.org/10.1109/ICRAIE51050.2020.9358354", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bit Permutation; Chaos; Chaotic Generator; COordinate Rotational DIgital Computer (CORDIC); Digital computers; Encryption; Field programmable gate arrays; Field programmable gate arrays (FPGA); Generators; Hardware; Logic gates; Look-up Tables (LUTs); State Controlled Cellular Neural Network (SC-CNN)", } @InProceedings{Rajagopalan:2020:CBP, author = "P. Rajagopalan and Shrikant Dubey and Rajat Arora and Sanjay. D. Mehta", booktitle = "{2020 7th International Conference on Signal Processing and Integrated Networks (SPIN)}", title = "{CORDIC} Based Phase Calibration Algorithm for Phase Coherent {DSP} Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "576--580", year = "2020", DOI = "https://doi.org/10.1109/SPIN48934.2020.9070821", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Calibration; CORDIC; Field programmable gate arrays; Monitoring; Phase Calibration; Phase coherency; Phase measurement; Signal processing algorithms", } @InProceedings{Raut:2020:CBC, author = "Gopal Raut and Shubham Rai and Santosh Kumar Vishvakarma and Akash Kumar", booktitle = "{2020 IEEE Computer Society Annual Symposium on VLSI (ISVLSI)}", title = "A {CORDIC} Based Configurable Activation Function for {ANN} Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "78--83", year = "2020", DOI = "https://doi.org/10.1109/ISVLSI49217.2020.00024", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial neural network; ASIC; Biological neural networks; Computational modeling; compute efficiency; Computer architecture; configurable architecture; CORDIC; Delays; Hardware; Mathematical model; multi activation function; Neurons", } @Article{Salehi:2020:NDL, author = "Forouzan Salehi and Ebrahim Farshidi and Hooman Kaabi", title = "Novel design for a low-latency {CORDIC} algorithm for sine-cosine computation and its Implementation on {FPGA}", journal = j-MICROPROC-MICROSYS, volume = "77", pages = "103197", year = "2020", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2020.103197", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933120303641", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "Alternate; CORDIC algorithm; FPGA; Low latency; Multiplexer", } @InProceedings{Sharma:2020:CAC, author = "Nitesh Kumar Sharma and Shanti Rathore and M. R. Khan", booktitle = "{2020 First International Conference on Power, Control and Computing Technologies (ICPC2T)}", title = "A Comparative Analysis on Coordinate Rotation Digital Computer ({CORDIC}) Algorithm and Its use on Computer Vision Technology", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "106--110", year = "2020", DOI = "https://doi.org/10.1109/ICPC2T48082.2020.9071514", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer vision; Computer Vision; CORDIC; DIP; Discrete cosine transforms; DSP; Hardware; Latency; Read only memory; Signal processing algorithms; Time complexity", } @InProceedings{Shashikala:2020:EIR, author = "BN Shashikala and BS Sudha and Sayantam Sarkar", booktitle = "{2020 International Conference on Recent Trends on Electronics, Information, Communication \& Technology (RTEICT)}", title = "Efficient Implementation of Radix-2 {FFT} Architecture using {CORDIC} for Signal Processing Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "137--142", year = "2020", DOI = "https://doi.org/10.1109/RTEICT49044.2020.9315657", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; FFT; Hardware; Radix-2; Signal processing; Signal processing algorithms; Twiddle factor", } @Article{Shi:2020:APJ, author = "Zhiguo Shi and Qianwen He and Ying Liu", title = "Accelerating Parallel {Jacobi} Method for Matrix Eigenvalue Computation in {DOA} Estimation Algorithm", journal = j-IEEE-TRANS-VEH-TECHNOL, volume = "69", number = "6", pages = "6275--6285", year = "2020", CODEN = "ITUTA6", DOI = "https://doi.org/10.1109/TVT.2020.2984705", ISSN = "0018-9545 (print), 1939-9359 (electronic)", ISSN-L = "0018-9545", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Vehicular Technology", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=25", keywords = "Acceleration; CORDIC algorithm; Direction-of-arrival estimation; Eigenvalue; Eigenvalues and eigenfunctions; Estimation; FPGA; Hardware; Jacobi method; Jacobian matrices; Multiple signal classification; parallel computation", } @InProceedings{Shrinivasan:2020:LPL, author = "Lakshmi Shrinivasan and Krishika Ponnamma C. R.", booktitle = "{2020 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)}", title = "Low Power Low Area Implementation of {CORDIC} Architecture Using Carry Select Adder for Realtime {DSP} Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2020", DOI = "https://doi.org/10.1109/CONECCT50063.2020.9198608", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Carry select adder; Computer architecture; Coordinate rotation digital computer; Delays; Digital signal processing; Field programmable gate array (FPGA) logic; Field programmable gate arrays; Hardware; Micro rotation; Pipeline processing; Signal processing algorithms; Sine wave generator", } @Article{Suryakumari:2020:RLU, author = "K. Suryakumari and N. Venkateswara Rao", title = "Restrained Latency Universal Modulator Outlay Adaptive {CORDIC} Algorithm for Digital Communication", journal = "Journal of Applied Security Research", volume = "16", number = "2", pages = "224--246", month = sep, year = "2020", DOI = "https://doi.org/10.1080/19361610.2020.1732269", ISSN = "1936-1629", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Thiruvengadam:2020:LPA, author = "C. Thiruvengadam and M. Palanivelan and K. {Senthil Kumar} and T. Jayasankar", title = "Low power approximate adder based repetitive iteration cord ({LP-ARICO}) algorithm for high-speed applications", journal = j-MICROPROC-MICROSYS, volume = "78", pages = "103260", year = "2020", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2020.103260", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933120304208", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "CSLA; Lp-arico; Micro-rotation; Scaling-factor", } @InProceedings{Tufekci:2020:EFI, author = "Burak Tufekci and Bugra Onal and Hamza Dere and H. Fatih Ugurdag", booktitle = "{2020 IEEE East-West Design \& Test Symposium (EWDTS)}", title = "Efficient {FPGA} Implementation of Field Oriented Control for 3-Phase Machine Drives", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2020", DOI = "https://doi.org/10.1109/EWDTS50664.2020.9224884", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "BLDC; CORDIC; Field programmable gate arrays; FOC; FPGA; Frequency control; Hardware; Motor Control; PI control; PMSM; Pulse width modulation; Support vector machines; Voltage control", } @Article{Vachhani:2020:CSN, author = "Leena Vachhani", title = "{CORDIC} as a switched nonlinear system", journal = "Circuits Syst. Signal Process.", volume = "39", number = "6", pages = "3234--3249", year = "2020", DOI = "https://doi.org/10.1007/s00034-019-01295-8", ISSN = "0278-081x (print), 1531-5878 (electronic)", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", ZMnumber = "1448.93224", acknowledgement = ack-nhfb, fjournal = "Circuits, Systems, and Signal Processing", keywords = "93C83,93C30,93D05,93C10", ZBmath = "7237112", } @Article{Wang:2020:CSG, author = "Guofu Wang and Sheng Chen and Jincai Ye and Faquan Zhang", title = "A chirp signal generator without multiplier based on improved {CORDIC} algorithm", journal = j-J-CHINESE-INST-ENG, volume = "43", number = "6", pages = "532--540", month = jun, year = "2020", CODEN = "CKCKDZ", DOI = "https://doi.org/10.1080/02533839.2020.1771212", ISSN = "2158-7299", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the Chinese Institute of Engineers = Chung-kuo kung ch'eng hsueh kan", } @Article{Wang:2020:GCB, author = "Yuxuan Wang and Yuanyong Luo and Zhongfeng Wang and Qinghong Shen and Hongbing Pan", title = "{GH} {CORDIC}-based Architecture for Computing {$N$}-th Root of Single-Precision Floating-Point Number", journal = j-IEEE-TRANS-VLSI-SYST, volume = "28", number = "4", pages = "864--875", year = "2020", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2019.2959847", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Binary floating point (BFP); Computer architecture; COordinate Rotation Digital Computer (CORDIC); Field programmable gate arrays; Graphics; Hardware; high speed; Mathematical model; Nth root; Standards; Very large scale integration", } @InProceedings{Wenda:2020:RTS, author = "Zhao Wenda and Chen DeCheng and Han Song and Wang Yanfei", booktitle = "{2020 IEEE 3rd International Conference on Electronics Technology (ICET)}", title = "Real-time {SAR-CORDIC} Algorithm and Application in Signal Generation and Scene Simulation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "612--619", year = "2020", DOI = "https://doi.org/10.1109/ICET49382.2020.9119566", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer performance; Conferences; CORDIC; Correlation; FPGA; Mathematical models; parallel computation; Real-time systems; signal generation; Signal processing; Signal processing algorithms; synthetic aperture radar", } @InProceedings{Wu:2020:CBH, author = "Chung-Bin Wu and Yu-Kuan Hsiao", booktitle = "{2020 IEEE International Conference on Consumer Electronics --- Taiwan (ICCE-Taiwan)}", title = "{CORDIC} Based Hardware Implementation for Object Region Layer of {Yolo V2}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2020", DOI = "https://doi.org/10.1109/ICCE-Taiwan49838.2020.9258096", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AI accelerator; CNN; Computer architecture; Conferences; Deep learning; Face recognition; Hardware; Hardware architecture; Object recognition; Speech recognition", } @InProceedings{Yin-Di:2020:HMH, author = "Zhang Yin-Di and Liu Ming and Wang Ming-Jiang", booktitle = "{2020 IEEE 5th International Conference on Signal and Image Processing (ICSIP)}", title = "A Hardware Modeling of High Precision Floating Point Arcsine\slash Arccosine Function Based on {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1040--1044", year = "2020", DOI = "https://doi.org/10.1109/ICSIP49896.2020.9339409", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "arcsine/arccosine; Clocks; CORDIC; floating point; four-step rotation prediction iteration; Hardware; Hardware design languages; Image processing; Indexes; Prediction algorithms; Standards", } @Article{Zechmeister:2020:SKEa, author = "Mathias Zechmeister", title = "Solving {Kepler}'s equation with {CORDIC} double iterations", journal = "arXiv.org", volume = "??", number = "??", pages = "??--??", year = "2020", DOI = "https://doi.org/10.48550/arXiv.2008.02894", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2008.02894", abstract = "In a previous work, we developed the idea to solve Kepler's equation with a CORDIC-like algorithm, which does not require any division, but still multiplications in each iteration. Here we overcome this major shortcoming and solve Kepler's equation using only bitshifts, additions, and one initial multiplication. We prescale the initial vector with the eccentricity and the scale correction factor. The rotation direction is decided without correction for the changing scale. We find that double CORDIC iterations are self-correcting and compensate possible wrong rotations in subsequent iterations. The algorithm needs 75\% more iterations and delivers the eccentric anomaly and its sine and cosine terms times the eccentricity. The algorithm can be adopted for the hyperbolic case, too. The new shift-and-add algorithm brings Kepler's equation close to hardware and allows to solve it with cheap and simple hardware components.", acknowledgement = ack-nhfb, keywords = "Instrumentation and Methods for Astrophysics (astro-ph.IM), Computational Physics (physics.comp-ph), FOS: Physical sciences, FOS: Physical sciences", } @Article{Zechmeister:2020:SKEb, author = "M. Zechmeister", title = "Solving {Kepler}'s equation with {CORDIC} double iterations", journal = j-MONTHLY-NOT-ROY-ASTRON-SOC, volume = "500", number = "1", pages = "109--117", month = nov, year = "2020", CODEN = "MNRAA4", DOI = "https://doi.org/10.1093/mnras/staa2441", ISSN = "1365-2966", ISSN-L = "0035-8711", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://doi.org/10.1093/mnras/staa2441", abstract = "In a previous work, we developed the idea to solve Kepler's equation with a CORDIC-like algorithm, which does not require any division, but still multiplications in each iteration. Here we overcome this major shortcoming and solve Kepler's equation using only bitshifts, additions, and one initial multiplication. We prescale the initial vector with the eccentricity and the scale correction factor. The rotation direction is decided without correction for the changing scale. We find that double CORDIC iterations are self-correcting and compensate possible wrong rotations in subsequent iterations. The algorithm needs 75\% more iterations and delivers the eccentric anomaly and its sine and cosine terms times the eccentricity. The algorithm can be adopted for the hyperbolic case, too. The new shift-and-add algorithm brings Kepler's equation close to hardware and allows to solve it with cheap and simple hardware components.", acknowledgement = ack-nhfb, fjournal = "Monthly Notices of the Royal Astronomical Society", journal-URL = "https://academic.oup.com/mnras", } @InProceedings{Zhan:2020:FCB, author = "Yi Zhan and Zihao Wang and Jiarui Xu and Guoyi Yu and Fengwei An and Wenzheng Chi and Chao Wang", booktitle = "{2020 5th International Conference on Robotics and Automation Engineering (ICRAE)}", title = "Fast {CORDIC} based Generalized-{Voronoi}-Diagram Hardware Accelerator for Efficient Robotic Exploration", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "100--105", year = "2020", DOI = "https://doi.org/10.1109/ICRAE50850.2020.9310864", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "fast-convergence CORDIC; Finite element analysis; GVD; Hardware; hardware accelerator; Mathematical model; path exploration; Robot kinematics; Robot sensing systems; Robots; Sensors", } @InProceedings{Zhao:2020:EHG, author = "Zikun Zhao and Qiuming Zhu and Kai Mao and Weiqiang Liu and Ning Li and Shuangyi Yan and Wei Huang", booktitle = "{2020 IEEE Globecom Workshops (GC Wkshps)}", title = "An Efficient Hardware Generator for Massive Non-Stationary Fading Channels", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2020", DOI = "https://doi.org/10.1109/GCWkshps50303.2020.9367588", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Fading channels; Field programmable gate arrays; Generators; Hardware; Massive MIMO; Massive MIMO channels; non-stationary fading; Pipelines; Probability density function; SoLFM; statistical properties", } @InProceedings{Zhu:2020:DNB, author = "Zehua Zhu and Haiyang Quan and Ling Tian and Tieliang Zhang and Xinmang Peng and Lei Zhang", booktitle = "{2020 IEEE 3rd International Conference on Electronics Technology (ICET)}", title = "The Design of {NCO} Built in Ultra High-Speed Data Converter", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "319--323", year = "2020", DOI = "https://doi.org/10.1109/ICET49382.2020.9119568", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "amplitude; CORDIC algorithm; Frequency conversion; Hardware; Local oscillators; Modulation; NCO; Numerical Controlled Oscillator (NCO); phase accumulator; Radar; Radar countermeasures; Software algorithms", } @InProceedings{Bhukya:2021:DIC, author = "Sreenivasu Bhukya and Sharath Chandra Inguva", booktitle = "{2021 6th International Conference for Convergence in Technology (I2CT)}", title = "Design and Implementation of {CORDIC} algorithm using Integrated Adder and Subtractor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2021", DOI = "https://doi.org/10.1109/I2CT51068.2021.9418002", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Canonical signed-digit; Computer architecture; CORDIC algorithm; Hardware; Hcub algorithm; Integrated adder subtractor; Logic gates; Performance evaluation; Power demand; Quantization (signal); Simulation", } @InProceedings{Bose:2021:VIR, author = "Sudipta Bose and Arijit De and Indrajit Chakrabarti", booktitle = "{2021 IEEE 18th India Council International Conference (INDICON)}", title = "{VLSI} Implementation of A Robust Threshold-Based Earthquake Early Warning System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2021", DOI = "https://doi.org/10.1109/INDICON52576.2021.9691540", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive filters; c and Pd estimation unit; coordinate rotation digital computer (CORDIC); Earth quake-early-warning-system (EEWS); Estimation; FPGA and ASIC design; Handheld computers; Hazards; Real-time systems; Uncertainty; Very large scale integration", } @Article{Chakraborty:2021:CBH, author = "Anirban Chakraborty and Ayan Banerjee", title = "{CORDIC}-based High-Speed {VLSI} Architecture of Transform Model Estimation for Real-Time Imaging", journal = j-IEEE-TRANS-VLSI-SYST, volume = "29", number = "1", pages = "215--226", year = "2021", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2020.3035514", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Computed tomography; Computer architecture; CORDIC; Field programmable gate arrays; field-programmable gate array (FPGA); Hardware; image transformation; Imaging; parallel processing; Real-time systems; transform model estimation (TME); Very large scale integration; VLSI architecture", } @Article{ChandraInguva:2021:IFD, author = "Sharath {Chandra Inguva} and J. B. Seventiline", title = "Implementation of {FPGA} design of {FFT} architecture based on {CORDIC} algorithm", journal = j-INT-J-ELECTRON, volume = "108", number = "11", pages = "1914--1939", month = feb, year = "2021", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2020.1870750", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @Article{Changela:2021:MRV, author = "Ankur Changela and Mazad Zaveri and Deepak Verma", title = "Mixed-radix, virtually scaling-free {CORDIC} algorithm based rotator for {DSP} applications", journal = j-INTEGRATION-VLSI-J, volume = "78", pages = "70--83", year = "2021", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/j.vlsi.2021.01.005", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S016792602100016X", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Carry-save arithmetic; Higher radix CORDIC; Multipath-delay commutator (MDC) architecture; Scaling-free vector rotation; Two-dimensional vector rotation", } @InProceedings{Chen:2021:GMA, author = "Hui Chen and Ruiqi Wu and Zhonghai Lu and Yuxiang Fu and Li Li and Zongguang Yu", booktitle = "{2021 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "A General Methodology and Architecture for Arbitrary Complex Number Nth Root Computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2021", DOI = "https://doi.org/10.1109/ISCAS51556.2021.9401720", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "complex number Nth root; Computer architecture; CORDIC; efficient hardware; flexible precision; general method; Hardware; Integrated circuit modeling; Power demand; Semiconductor device modeling; Software; Task analysis", } @Article{Chen:2021:LCH, author = "Hui Chen and Zongguang Yu and Yonggang Zhang and Zhonghai Lu and Yuxiang Fu and Li Li", title = "Low-Complexity High-Precision Method and Architecture for Computing the Logarithm of Complex Numbers", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "68", number = "8", pages = "3293--3304", year = "2021", DOI = "https://doi.org/10.1109/TCSI.2021.3081517", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "complex logarithm; Complex number; Complexity theory; Computer architecture; Convergence; CORDIC; Hardware; high hardware efficiency; low design complexity; Software; Synthetic aperture radar; Table lookup", } @Article{Dec:2021:LCI, author = "Grzegorz Rafa{\l} Dec", title = "{LSTM} Cell Implementation on {FPGAs}", journal = j-PARALLEL-PROCESS-LETT, volume = "31", number = "02", pages = "??--??", month = jun, year = "2021", CODEN = "PPLTEE", DOI = "https://doi.org/10.1142/S0129626421500110", ISSN = "0129-6264 (print), 1793-642X (electronic)", ISSN-L = "0129-6264", bibdate = "Thu Feb 17 06:50:36 MST 2022", bibsource = "http://ejournals.wspc.com.sg/ppl/; http://www.math.utah.edu/pub/tex/bib/parallelprocesslett.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.worldscientific.com/doi/10.1142/S0129626421500110", abstract = "This paper presents and discusses the implementation of an LSTM cell on an FPGA with an activation function inspired by the CORDIC algorithm. The realization is performed using both IEEE754 standard and 32-bit integer numbers. The case with floating-point arithmetic is analyzed with and without DSP blocks provided by the Xilinx design suite. The alternative implementation including the integer arithmetic was optimized for a minimal number of clock cycles. Presented implementation uses xc6slx150t-2fgg900 and achieves high calculations accuracy for both cases.", acknowledgement = ack-nhfb, articleno = "2150011", fjournal = "Parallel Processing Letters", journal-URL = "http://www.worldscientific.com/loi/ppl", } @InProceedings{ElGhany:2021:SFC, author = "Mohamed A. Abd {El Ghany} and Khaled A. Ismail", booktitle = "{2021 International Conference on Microelectronics (ICM)}", title = "Speed Up Functional Coverage Closure of {CORDIC} Designs Using Machine Learning Models", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "91--95", year = "2021", DOI = "https://doi.org/10.1109/ICM52667.2021.9664930", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial neural networks; Computational modeling; Constrained random verification; Costs; Decision Trees; Machine learning; Measurement; Neural Networks; Predictive models; Support vector machines; Support Vector Regression; Training", } @InProceedings{Guo:2021:WBD, author = "Yu Guo and Jin Meng and Hongzhang Gao and Songhu Ge and Yaxing Li and Kai Yang", booktitle = "{2021 13th International Symposium on Antennas, Propagation and EM Theory (ISAPE)}", title = "Wide-band {DOA} Method with Sparse Array for Interference Cancellation", volume = "Volume1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "01--03", year = "2021", DOI = "https://doi.org/10.1109/ISAPE54070.2021.9753261", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC rotation; direction of arrival; Direction-of-arrival estimation; Fuses; Hardware; interference cancellation; Interference cancellation; Jacobian matrices; minimum redundancy classification; multiple signal classification; Pattern classification; Redundancy", } @Article{Hao:2021:CBR, author = "Xinyu Hao and Shuangming Yang and Bin Deng and Jiang Wang and Xile Wei and Yanqiu Che", title = "A {CORDIC} based real-time implementation and analysis of a respiratory central pattern generator", journal = j-NEUROCOMPUTING, volume = "423", pages = "373--388", year = "2021", CODEN = "NRCGEO", DOI = "https://doi.org/10.1016/j.neucom.2020.10.101", ISSN = "0925-2312 (print), 1872-8286 (electronic)", ISSN-L = "0925-2312", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0925231220317148", acknowledgement = ack-nhfb, fjournal = "Neurocomputing", journal-URL = "http://www.sciencedirect.com/science/journal/09252312", keywords = "Central pattern generation (CPG); Coordinate Rotation Digital Computer (CORDIC); Digital implementation; Field programmable gate array (FPGA); Oscillations; Respiratory network", } @Article{Hao:2021:RAC, author = "Liang Hao and Tengbo Chen and Jiyang Yu", title = "Research on the application of {CORDIC} algorithm in the field of space-borne on-board signal processing", journal = "Procedia Computer Science", volume = "183", pages = "361--371", year = "2021", DOI = "https://doi.org/10.1016/j.procs.2021.02.072", ISSN = "1877-0509", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "Proceedings of the 10th International Conference of Information and Communication Technology", URL = "https://www.sciencedirect.com/science/article/pii/S1877050921005470", acknowledgement = ack-nhfb, keywords = "CORDIC; FPGA; On-board Payload Processing; Spcace-borne", } @Article{Jiang:2021:DMT, author = "Cuili Jiang and Zhihui Tian and Wenjiao Yu", title = "Displacement measurement technology of nano grating sensor based on {HHT} algorithm", journal = j-MICROELECT-J, volume = "109", pages = "104986", year = "2021", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2020.104986", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0026269220305851", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "Displacement measurement; Frequency; HHT algorithm; Interference signal; Nano grating sensor", } @InBook{Jones:2021:DCB, author = "Keith John Jones", booktitle = "The Regularized Fast Hartley Transform", title = "Design of {CORDIC}-Based Processing Element for Regularized Fast Hartley Transform", publisher = "Springer International Publishing", pages = "119--134", month = sep, year = "2021", DOI = "https://doi.org/10.1007/978-3-030-68245-3_7", ISBN = "3-030-68245-5", ISBN-13 = "978-3-030-68245-3", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InBook{Kang:2021:RHP, author = "Chengwei Kang and Ping Wang and Weijie Li", booktitle = "The Proceedings of the 9th Frontier Academic Forum of Electrical Engineering", title = "Research on High Precision {AC} Voltage Phase and Amplitude Detection Algorithms Based on {SPLL} and {CORDIC}", publisher = "Springer Singapore", pages = "123--132", year = "2021", DOI = "https://doi.org/10.1007/978-981-33-6606-0_12", ISBN = "981-336-606-0", ISBN-13 = "978-981-336-606-0", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Khai:2021:RSG, author = "Lam Duc Khai and Trinh Viet Hoang", booktitle = "{2021 15th International Conference on Advanced Computing and Applications (ACOMP)}", title = "A Road Self-Guided Hardware-Based Demo System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "156--161", year = "2021", DOI = "https://doi.org/10.1109/ACOMP53746.2021.00028", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; hardware; Hardware; Hough Line Transform; line detection; Navigation; Pipelines; road navigation; Roads; Sobel; Software algorithms; Transforms", } @Article{Krishna:2021:LQT, author = "B. Murali Krishna and B. T. Krishna and K. Babulu", title = "Linear and quadratic time frequency transforms on {FPGA} using folding technique", journal = j-MICROPROC-MICROSYS, volume = "80", pages = "103635", year = "2021", CODEN = "MIMID5", DOI = "https://doi.org/10.1016/j.micpro.2020.103635", ISSN = "0141-9331 (print), 1872-9436 (electronic)", ISSN-L = "0141-9331", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0141933120307821", acknowledgement = ack-nhfb, fjournal = "Microprocessors and Microsystems", keywords = "CORDIC; Folding Technique; FPGA; Transform Techniques; Verilog", } @InProceedings{Kumar:2021:DDA, author = "Putchala Santosh Kumar and Prajapati Vatsalkumar and Snehasis Dolui and Nadeem Khan and A. Arockia Bazil Raj", booktitle = "{2021 International Conference on System, Computation, Automation and Networking (ICSCAN)}", title = "Design of Digital Architecture for Custom Implementation of {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2021", DOI = "https://doi.org/10.1109/ICSCAN53069.2021.9526417", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC Algorithm; Hardware; hyperbolic functions; Linear iterations; Power demand; Rotation mode; Signal processing algorithms; Simulation; Throughput; Trigonometric functions; VHDL", } @InBook{Kumar:2021:NAT, author = "Ankit Kumar and Astha Singh and Shiv Prakash and Vrijendra Singh", booktitle = "{AI} and {IoT} Based Intelligent Automation in Robotics", title = "A Novel Approach Towards Audio Watermarking Using {FFT} and {CORDIC}-based {$ Q R $} Decomposition", chapter = "20", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "323--338", year = "2021", DOI = "https://doi.org/10.1002/9781119711230.ch20", ISBN = "1-119-71123-1", ISBN-13 = "978-1-119-71123-0", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://onlinelibrary.wiley.com/doi/abs/10.1002/9781119711230.ch20", acknowledgement = ack-nhfb, eprint = "https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781119711230.ch20", keywords = "Audio watermarking; CORDIC-based QR decomposition; Distortion; Encryption; encryption; Fast Fourier transforms; FFT transformation; Intelligent automation; Matrix decomposition; Media; normalized cross-correlation (NCC); peak signal-to-noise ratio (PSNR); PSNR; Robots; Standards; Watermarking", } @InProceedings{Li:2021:NAE, author = "Yujie Li and Guangyou Hong and Zixuan Peng and Jipeng Wang and Jiarui Xu and Guoyi Yu and Chengjun Huang and Chao Wang", booktitle = "{2021 IEEE International Conference on Integrated Circuits, Technologies and Applications (ICTA)}", title = "A Novel Area-Efficient Fast {CORDIC} for Energy-efficient Adaptive Exponential Integrate and Fire Neuron Design", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "249--250", year = "2021", DOI = "https://doi.org/10.1109/ICTA53157.2021.9661975", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptation models; AdEx Neuron; Biological neuron; Biological system modeling; Computational modeling; Conferences; CORDIC; Digital computers; FPGA; Integrated circuit technology; Neurons", } @Article{Liu:2021:FCT, author = "Tsung-Hsien Liu and Shih-Lun Wang and You-Jia Lin and Yin-Tsung Hwang and Chiao-En Chen and Yuan-Sun Chu", title = "Fixed-Complexity Tree Search Schemes for Detecting Generalized Spatially Modulated Signals: Algorithms and Hardware Architectures", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "68", number = "2", pages = "904--917", year = "2021", DOI = "https://doi.org/10.1109/TCSI.2020.3040375", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computer architecture; CORDIC module; fixed-complexity tree search; Generalized spatial modulation; Hardware; Indexes; maximum likelihood detection; MIMO communication; Receiving antennas; sphere decoding algorithm; Throughput; Transmitting antennas", } @InProceedings{Masram:2021:DIM, author = "Bharati Y. Masram and P. T. Karule", booktitle = "{2021 IEEE Bombay Section Signature Conference (IBSSC)}", title = "Design and Implementation of 111 {MHz} Frequency Compression Efficient {CORDIC} Based {2D-DCT} using {FPGA} and its Power Performance", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2021", DOI = "https://doi.org/10.1109/IBSSC53889.2021.9673446", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "1D-Discrete Cosine Transform; 2D-Discrete Cosine Transform; ATR; Complexity theory; Computer architecture; CORDIC; Image coding; Signal processing algorithms; Throughput; Timing; Very large scale integration", } @InProceedings{Milic:2021:HAC, author = "Mateja Mili{\'c} and Nenad Bun{\v{c}}i{\'c}", booktitle = "{2021 29th Telecommunications Forum (TELFOR)}", title = "Hardware Accelerators for Calculating the Magnitude and Angle of Image Gradient", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2021", DOI = "https://doi.org/10.1109/TELFOR52709.2021.9653399", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Digital Image Processing; Digital images; fixed-point; FPGA; gradient image; hardware accelerator; Image edge detection; Program processors; Software; Software algorithms; square root; Streaming media; Telecommunications", } @InProceedings{Mohamed:2021:DIA, author = "Nadya A. Mohamed and Joseph R. Cavallaro", booktitle = "{2021 IEEE Workshop on Signal Processing Systems (SiPS)}", title = "Design and Implementation of {Autoencoder-LSTM} Accelerator for Edge Outlier Detection", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "134--139", year = "2021", DOI = "https://doi.org/10.1109/SiPS52927.2021.00032", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accelerator; Autoen-coder; Computer architecture; CORDIC; Detectors; embedded systems; Feature extraction; FPGA; LSTM; outliers; Power demand; Sensor phenomena and characterization; Signal processing; Throughput", } @InProceedings{Muddasani:2021:CBO, author = "Satyanarayana Muddasani and A. V. Ravi Teja", booktitle = "{IECON 2021 47th Annual Conference of the IEEE Industrial Electronics Society}", title = "{CORDIC} based Orthogonal Signal Generation with In-loop Moving Average Filter for Single Phase {PLL} Systems", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2021", DOI = "https://doi.org/10.1109/IECON48115.2021.9589412", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithm; Estimation; Filtering algorithms; Frequency estimation; grid synchronization; Harmonic analysis; in-loop filter; Industrial electronics; moving average filter; Orthogonal signal generation; Phase locked loops; Power quality; Second order generalized integrator; Synchronization", } @InProceedings{Nguyen:2021:CBT, author = "Khai-Duy Nguyen and Dang Tuan Kiet and Trong-Thuc Hoang and Nguyen Quang Nhu Quynh and Cong-Kha Pham", editor = "{IEEE}", booktitle = "{2021 IEEE Hot Chips 33 Symposium (HCS)}", title = "A {CORDIC}-based Trigonometric Hardware Accelerator with Custom Instruction in 32-bit {RISC-V} {System-on-Chip}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--13", year = "2021", DOI = "https://doi.org/10.1109/HCS52781.2021.9567158", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/risc-v.bib", acknowledgement = ack-nhfb, keywords = "Digital computers; Field programmable gate arrays; Instruction sets; Logic gates; Microprocessors; Programmable logic arrays; System-on-chip", } @InProceedings{Nguyen:2021:HSA, author = "Thanh Dat Nguyen and Dong Hwan Kim and Jin Seok Yang and Sang Yoon Park", booktitle = "{2021 36th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC)}", title = "High-Speed {ASIC} Implementation of Tanh Activation Function Based on the {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2021", DOI = "https://doi.org/10.1109/ITC-CSCC52171.2021.9501440", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "artificial neural network; Artificial neural networks; Computer architecture; CORDIC; Digital computers; Government; Hardware; high throughput; Libraries; Microprocessors; tanh activation function", } @InProceedings{Pal:2021:AFA, author = "Souvik Pal and G. Suseendran and D. Akila and R. Jayakarthik and T. Nusrat Jabeen", booktitle = "{2021 2nd International Conference on Computation, Automation and Knowledge Management (ICCAKM)}", title = "Advanced {FFT} Architecture Based on {CORDIC} Method for Brain Signal Encryption System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "92--96", year = "2021", DOI = "https://doi.org/10.1109/ICCAKM50778.2021.9357770", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Brain wave signal; Computer architecture; CORDIC; Diseases; Encryption; Fast Fourier Transform; Fingerprint recognition; High-security system; Knowledge management; Medical diagnostic imaging; Performance evaluation; Tumors", } @InProceedings{Peng:2021:HAE, author = "Zixuan Peng and Jipeng Wang and Yi Zhan and Run Min and Guoyi Yu and Jianwen Luo and Kwen-Siong Chong and Chao Wang", booktitle = "{2021 19th IEEE International New Circuits and Systems Conference (NEWCAS)}", title = "A High-Accuracy and Energy-Efficient {CORDIC} based {Izhikevich} Neuron", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2021", DOI = "https://doi.org/10.1109/NEWCAS50681.2021.9462786", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "biological neuron model; Biological system modeling; Computational modeling; CORDIC; Energy efficiency; FPGA; Hardware; Izhikevich neuron; Neuromorphics; Neurons; Power demand; spiking neural network", } @InProceedings{Pradeep:2021:VIE, author = "K. Pradeep and Neenavath Veeraiah", booktitle = "{2021 10th IEEE International Conference on Communication Systems and Network Technologies (CSNT)}", title = "{VLSI} Implementation of {Euler} Number Computation and Stereo Vision Concept for {CORDIC} based Image Registration", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "269--272", year = "2021", DOI = "https://doi.org/10.1109/CSNT51715.2021.9509639", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "disparity estimation; Hardware; Image recognition; Image registration; Image Registration (IR); Real-time systems; Solid modeling; stereo cost volume (SCV); Stereo Matching; Transform Model Estimation (TME) Guided image Filtering (GIF); Very large scale integration; VHDL", } @Article{Raut:2021:CRR, author = "Gopal Raut and Shubham Rai and Santosh Kumar Vishvakarma and Akash Kumar", title = "Correction to {RECON}: Resource-Efficient {CORDIC}-based Neuron Architecture", journal = "IEEE Open Journal of Circuits and Systems", volume = "2", pages = "292--292", year = "2021", DOI = "https://doi.org/10.1109/OJCAS.2021.3056731", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See \cite{Raut:2021:RRE}.", acknowledgement = ack-nhfb, keywords = "Circuits and systems; Neurons", } @Article{Raut:2021:RRE, author = "Gopal Raut and Shubham Rai and Santosh Kumar Vishvakarma and Akash Kumar", title = "{RECON}: Resource-Efficient {CORDIC}-based Neuron Architecture", journal = "IEEE Open Journal of Circuits and Systems", volume = "2", pages = "170--181", year = "2021", DOI = "https://doi.org/10.1109/OJCAS.2020.3042743", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "See correction \cite{Raut:2021:CRR}.", acknowledgement = ack-nhfb, keywords = "AF; Computer architecture; configurable architecture; CORDIC; Faces; Hardware; MAC; Monte Carlo methods; neural network; Neurons; Performance evaluation; Power dissipation", } @InProceedings{Saraswathi:2021:VAA, author = "M. Saraswathi and E. Logashanmugam", booktitle = "{2021 Second International Conference on Electronics and Sustainable Communication Systems (ICESC)}", title = "{VLSI} Architecture of Autocorrelation Module for Cyclostationary Detector-{CR}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "196--201", year = "2021", DOI = "https://doi.org/10.1109/ICESC51422.2021.9532651", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Autocorrelation; Computer architecture; CORDIC; Delays; FFT; LTEA; Matrix Inversion; OFDM; Throughput; Very large scale integration; Wireless networks", } @InProceedings{Sergiyenko:2021:FIC, author = "Anatoliy Sergiyenko and Leonid Moroz and Lesya Mychuda and Volodymir Samotyj", booktitle = "{2021 11th IEEE International Conference on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS)}", title = "{FPGA} Implementation of {CORDIC} Algorithms for Sine and Cosine Floating-Point Calculations", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "383--386", year = "2021", DOI = "https://doi.org/10.1109/IDAACS53288.2021.9660963", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximation algorithms; Conferences; CORDIC; Costs; Data acquisition; Delays; floating-point; FPGA; Function approximation; Hardware; sine function", } @InProceedings{Seyedbarhagh:2021:DRC, author = "Mahsasadat Seyedbarhagh and Arash Ahmadi and Majid Ahmadi", booktitle = "{2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)}", title = "Digital Realization of Ca2+ Oscillation With Impact of Amyloid-", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "665--668", year = "2021", DOI = "https://doi.org/10.1109/MWSCAS47672.2021.9531702", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amyloid beta; Biomembranes; Ca2+ oscillation; CORDIC; field programmable gate array (FPGA); Hardware; Heuristic algorithms; Numerical models; Plasmas; Software; Software algorithms", } @InBook{Sharma:2021:ICR, author = "Nitesh Kumar Sharma and Shanti Rathore and M. R. Khan", booktitle = "Proceedings of 6th International Conference on Recent Trends in Computing", title = "Implementation of Coordinate Rotation Digital Computer {(CORDIC)} Processing Unit by Using of {VLSI} Technology", publisher = "Springer Singapore", pages = "543--552", year = "2021", DOI = "https://doi.org/10.1007/978-981-33-4501-0_50", ISBN = "981-334-501-2", ISBN-13 = "978-981-334-501-0", ISSN = "2367-3389", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Usha:2021:AMS, author = "Isukapatla Tara Usha and LGM Prakasam", booktitle = "{2021 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT)}", title = "Adaptable Microwave Sensitivity Time Control for Radars using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2021", DOI = "https://doi.org/10.1109/CONECCT52877.2021.9622552", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; FPGA; MATLAB; Microwave communication; Microwave theory and techniques; MSTC; Radar; Real-time systems; Receivers; Sensitivity; Table lookup", } @Book{VanBrummelen:2021:DTH, author = "Glen {Van Brummelen}", title = "The Doctrine of Triangles: a History of Modern Trigonometry", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xvi + 372", year = "2021", DOI = "https://doi.org/10.1515/9780691219875", ISBN = "0-691-17941-7 (hardcover), 0-691-21987-7 (e-book)", ISBN-13 = "978-0-691-17941-4 (hardcover), 978-0-691-21987-5 (e-book)", LCCN = "QA24; QA24 .V35 2021", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", abstract = "An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth, \booktitle{The Doctrine of Triangles} offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the ``foot of the ladder to the stars'' and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry's participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, \booktitle{The Doctrine of Triangles} brings trigonometry's rich historical past full circle into the modern era.", acknowledgement = ack-nhfb, keywords = "Anton von Braunm{\"u}hl; Chinese mathematicians; Chinese trigonometry; CORDIC; differential equations; Eli Maor; Erasmus Reinhold; Euler; Fourier series; gradians; haversines; Hipparchus; history of mathematics; history of science; hyperbolic trigonometry; Jesuit mathematicians; Jesuits; law of tangents; math pedagogy; mathematical analysis; mathematical education; oscillatory phenomena; plane astronomy; radians; Regiomontanus; Rheticus; spherical astronomy; Srinivasa Ramanujan; Thomas Fincke; Trigonometric Delights; versines", shorttableofcontents = "Frontmatter \\ Contents \\ Preface \\ 1. European Trigonometry Comes of Age \\ 2. Logarithms \\ 3. Calculus \\ 4. China \\ 5. Europe After Euler \\ Bibliography \\ Index", tableofcontents = "European Trigonometry Comes of Age. What's in a name? \\ Trigonometric tables evolving \\ Algebraic gems by Vi{\`e}te \\ New theorems, plane and spherical \\ Consolidating the solutions of triangles \\ Widening applications \\ Logarithms. Napier, Briggs, and the birth of logarithms \\ Interlude: Joost B{\"u}rgi's surprising method of calculating a sine table \\ The explosion of tables of logarithms \\ Computing tables effectively: logarithms \\ Computing tables effectively: interpolation \\ Napier on spherical trigonometry \\ Further theoretical developments \\ Developments in notation \\ Practical and scientific applications \\ Calculus. Quadratures in trigonometry before Newton and Leibniz \\ Tangents in Trigonometry before Newton and Leibniz \\ Infinite sequences and series in trigonometry \\ Transforming the construction of trigonometric tables with series \\ Geometric derivatives and integrals of trigonometric functions \\ A transition to analytical conceptions \\ Euler on the analysis of trigonometric functions \\ Euler on spherical trigonometry \\ China. Indian and Islamic trigonometry in China \\ Indigenous Chinese geometry \\ Indigenous Chinese trigonometry \\ The Jesuits arrive \\ Trigonometry in the Chongzhen lishu \\ Logarithms in China \\ The Kangxi Period and Mei Wending \\ Dai Zhen: philology encounters mathematics \\ Infinite series \\ Europe after Euler. Normal science: gap filling in spherical trigonometry \\ Symmetry and unity \\ The return of stereographic projection \\ Surveying and Legendre's theorem \\ Trigonometry in navigation \\ Tables \\ Fourier series \\ Concerns about negativity \\ Education", } @InProceedings{Vijay:2021:ILC, author = "Vishnu Vijay and Rohan Mathew George and Sneha Joe and Swetha Shajee Dominic and Riya Mary Joseph and Sherin Sunil Jose and Simi Zerine Sleeba and Arun Ashok", booktitle = "{2021 International Conference on Advances in Computing and Communications (ICACC)}", title = "Implementation of Low Complexity Signal Tracking Loop of a {GPS} Receiver Using {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2021", DOI = "https://doi.org/10.1109/ICACC-202152719.2021.9708191", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Codes; Computer architecture; Coordinate Rotation Digital Computer(CORDIC); Global Navigation Satellite System(GNSS); Global Positioning System(GPS); Harmonic analysis; Industries; Integrate and Dump(InD); Numerically Controlled Oscillator(NCO); Receivers; Satellites; Tracking loops", } @InProceedings{Vucha:2021:CAD, author = "Mahendra Vucha and A. L. Siridhara", booktitle = "{2021 6th International Conference on Communication and Electronics Systems (ICCES)}", title = "{CORDIC} Architecture for Discrete Cosine Transform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "229--232", year = "2021", DOI = "https://doi.org/10.1109/ICCES51350.2021.9488945", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Computer architecture; CORDIC Processor; Digital Signal Processor; Discrete Cosine Transform; FPGA; General Purpose Processor; Hardware; Hardware Architecture; Image processing; Multimedia computing; Signal processing algorithms; Taylor series", } @InProceedings{Wang:2021:IDV, author = "Long Wang and Jin Pan and Qianlin Yang and Yan Liu and Xinyang Ji", booktitle = "{2021 IEEE 5th Advanced Information Technology, Electronic and Automation Control Conference (IAEAC)}", title = "Implementation of Direction and Velocity Measurement Algorithm for Moving Target Based on {FPGA}", volume = "5", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1408--1412", year = "2021", DOI = "https://doi.org/10.1109/IAEAC50856.2021.9390814", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithm; direction finding; Doppler radar; FFT; Field programmable gate arrays; FPGA; Frequency measurement; Frequency modulation; Phase measurement; System-on-chip; velocity measurement; Velocity measurement", } @Article{Wu:2021:EDS, author = "Jiajun Wu and Yi Zhan and Zixuan Peng and Xinglong Ji and Guoyi Yu and Rong Zhao and Chao Wang", title = "Efficient Design of Spiking Neural Network With {STDP} Learning Based on Fast {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "68", number = "6", pages = "2522--2534", year = "2021", DOI = "https://doi.org/10.1109/TCSI.2021.3061766", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Biological neural networks; Computational modeling; fast-convergence CORDIC; Hardware; Image coding; LIF neuron; neuromorphic hardware; neuron circuit; Neurons; on-line learning; spiking neural network; STDP; Synapses; Synaptic circuit; Training", } @InProceedings{Xu:2021:LCA, author = "Jin Xu and Lin Jiang and Hui Chen and Yuxiang Fu and Li Li", booktitle = "{2021 18th International SoC Design Conference (ISOCC)}", title = "A Low-Complexity Architecture for Implementing Square to Tenth Root of Complex Numbers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "15--16", year = "2021", DOI = "https://doi.org/10.1109/ISOCC53507.2021.9613873", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "complex number Nth root; Complexity theory; Computer architecture; Convergence; CORDIC; Digital computers; Hardware; high efficiency; high precision; low hardware complexity; Power demand; Quantization (signal)", } @InProceedings{Yifen:2021:PDC, author = "Peng Yifen and Huan Sha and Cao Zhong and Wu Limei and Yang Chao", booktitle = "{2021 IEEE 4th International Conference on Electronics Technology (ICET)}", title = "Precise Delay Calibration of Wideband Digital Array Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "373--377", year = "2021", DOI = "https://doi.org/10.1109/ICET51757.2021.9451117", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Calibration; Cordic; delay calibration; Delays; FPGA; frequency estimation; Frequency measurement; Hardware; Iterative algorithms; iterative CZT; Radar; Time-frequency analysis", } @InProceedings{Yildiz:2021:CAR, author = "Recep Onur Y{\i}ld{\i}z and Ayse Yilmazer-Metin", editor = "{IEEE}", booktitle = "{2021 29th Telecommunications Forum (TELFOR)}", title = "{CORDIC} Accelerator for {RISC-V}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2021", DOI = "https://doi.org/10.1109/TELFOR52709.2021.9653439", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/risc-v.bib", acknowledgement = ack-nhfb, keywords = "cordic. accelerator; Digital computers; Frequency conversion; Memory management; Power demand; risc-v; sdr; Software; Systolic arrays; Transceivers", } @InProceedings{Yu:2021:RMI, author = "Xiaoyu Yu and Shulin Tian and Hao Zeng and Yu Tian and Peng Ye and Lianping Guo and Shengyi Zhang and Meng Wang", booktitle = "{2021 IEEE 15th International Conference on Electronic Measurement \& Instruments (ICEMI)}", title = "Research on Method of Instantaneous Frequency Measurement Based on {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "245--249", year = "2021", DOI = "https://doi.org/10.1109/ICEMI52946.2021.9679627", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Data models; FPGA; Frequency measurement; Information processing; instantaneous frequency measurement; Instruments; Real-time systems; Semiconductor device measurement; Stability analysis", } @InProceedings{Zhao:2021:CBH, author = "Zikun Zhao and Qiuming Zhu and Chen Fang and Shuangyi Yan and Tongbao Mao and Xiaomin Chen", booktitle = "{2021 13th International Symposium on Antennas, Propagation and EM Theory (ISAPE)}", title = "{CORDIC}-based Hardware Twin Method for {Loo} and {Corazza} Fading Channels", volume = "Volume1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--3", year = "2021", DOI = "https://doi.org/10.1109/ISAPE54070.2021.9753288", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antenna measurements; Antenna theory; Channel twin; CORDIC; Fading channels; Generators; Hardware; large-scale fading; Satellite communication; statistical properties; Table lookup", } @InProceedings{Anil:2022:AEV, author = "Roshan Anil and Puppala Pavan Venkata Adi Sampath and P. Sathish Kumar", booktitle = "{2022 IEEE 3rd International Conference on VLSI Systems, Architecture, Technology and Applications (VLSI SATA)}", title = "Area Efficient {VLSI} design for image processing using the modified {CORDIC} algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2022", DOI = "https://doi.org/10.1109/VLSISATA54927.2022.10046477", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC algorithm; Digital computers; FPGA (Field programmable gate array); Image processing; Logic gates; Real-time systems; Silicon; Systems architecture; Very large scale integration; VLSI Architecture", } @InProceedings{Bose:2022:SPA, author = "Sudipta Bose", booktitle = "{2022 IEEE International Conference for Women in Innovation, Technology \& Entrepreneurship (ICWITE)}", title = "Signal Processing Architecture for Real-time Earthquake Early Warning System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2022", DOI = "https://doi.org/10.1109/ICWITE57052.2022.10176234", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adaptive algorithms; Adaptive filters; Common Subexpression Elimination (CSE); CORDIC; Decision making; Earthquake Early Warning System (EEWS); Earthquakes; Finite impulse response filters; Robust Adaptive filters; Signal processing; Signal processing algorithms", } @InProceedings{Changela:2022:MRC, author = "Ankur Changela and Yogesh Kumar", booktitle = "{2022 5th International Conference on Contemporary Computing and Informatics (IC3I)}", title = "A Modified Radix-16 {CORDIC} Algorithm-based Direct Digital Frequency Synthesizer", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1153--1157", year = "2022", DOI = "https://doi.org/10.1109/IC3I56241.2022.10072732", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Digital-to-Analog Converter (DAC); Frequency synthesizers; Hardware; High-radix CORDIC; Informatics; Low-pass Filter (LPF); Memory management; Phase accumulator; Pipelined architecture; Resource management; Scaling-free; Table lookup", } @InProceedings{Cheduluri:2022:LCH, author = "Ganesh Cheduluri and Swati Bhardwaj and Ganesh R. Naik and Vidhumouli Hansigida and Appa Rao Nali and Amit Acharyya", booktitle = "{2022 20th IEEE Interregional NEWCAS Conference (NEWCAS)}", title = "Low complex Hardware Architecture Design Methodology for Cubic Spline Interpolation Technique for Assistive Technologies", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "70--74", year = "2022", DOI = "https://doi.org/10.1109/NEWCAS52662.2022.9842110", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Classification algorithms; Co-ordinate Rotation Digital Computer(CORDIC); Complexity theory; Computer architecture; Cubic Spline Interpolation; Empirical Mode Decomposition; Hardware; Interpolation; Intrinsic Mode Function; Resource management; Surface EMG signal; Tridiagonal Matrix Algorithm; Very large scale integration", } @InProceedings{Choudhury:2022:HIL, author = "Rituparna Choudhury and Shaik Rafi Ahamed and Prithwijit Guha", booktitle = "{2022 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Hardware Implementation of Low Complexity High-speed Perceptron Block", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "26--30", year = "2022", DOI = "https://doi.org/10.1109/ISCAS48785.2022.9937758", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ASIC; Circuits and systems; Computer architecture; CORDIC; Digital computers; FPGA; Hardware; Machine Learning; Neural networks; Offset Binary Coding; Perceptron hardware; Programmable logic arrays; Software", } @Article{Delosme:2022:SFG, author = "Jean-Marc Delosme", title = "A Signal Flow Graph Approach to the Resolution of Spherical Triangles Using {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "69", number = "12", pages = "5159--5170", year = "2022", DOI = "https://doi.org/10.1109/TCSI.2022.3201746", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Arithmetic; Codes; CORDIC; Flow graphs; great-circle navigation; hyperbolic Cholesky; joint angle calculation; Mason rules; Mathematical models; Navigation; partial correlation; solution-flow diagram; spherical palm kinematics; Spherical trigonometry; square-root normalized ladder; Synthetic aperture sonar; Technological innovation", } @InBook{deMoura:2022:IPS, author = "Bruno F. de Moura and Adriana M. M. da Mata and Marcio F. Martins and Francisco H. S. Palma and Rog{\'e}rio Ramos", booktitle = "Multiphase Flow Dynamics", title = "Implementation of a Phase-Sensitive Detector with {CORDIC} Algorithm in Microcontrollers for Low-Cost {EIT} Demodulation Procedure", publisher = "Springer International Publishing", pages = "101--109", year = "2022", DOI = "https://doi.org/10.1007/978-3-030-93456-9_9", ISBN = "3-030-93456-X", ISBN-13 = "978-3-030-93456-9", ISSN = "2195-4364", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Diwaker:2022:MSA, author = "Ritesh Diwaker and Deepak Asrani", booktitle = "{2022 IEEE International Conference on Current Development in Engineering and Technology (CCET)}", title = "Multimedia Security in Audio Signals", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2022", DOI = "https://doi.org/10.1109/CCET56606.2022.10080309", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Distortion; Encoding; Encryption; Fast Fourier Transformation; Feature extraction; PSNR; Q-R Cordic decomposition; Robustness; Watermark Embedding; Watermark encryption; Watermark Extraction; Watermarking; Watermarking in Audio Signals", } @InBook{Dukhnich:2022:UAS, author = "Evgeny Dukhnich", booktitle = "Applications in Electronics and Computing Systems", title = "A Unified Approach to the Synthesis of Hypercomplex-Valued {CORDIC-Like} Algorithms", publisher = "Springer International Publishing", pages = "1--10", month = nov, year = "2022", DOI = "https://doi.org/10.1007/978-3-031-20631-3_1", ISBN = "3-031-20631-2", ISBN-13 = "978-3-031-20631-3", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Falkenberg:2022:EID, author = "Andreas Falkenberg", booktitle = "{2022 24th International Microwave and Radar Conference (MIKON)}", title = "Efficient Implementation of a Digital Chirp Generator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2022", DOI = "https://doi.org/10.23919/MIKON54314.2022.9924956", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Chirp; chirp; cordic; FMCW; Generators; Hardware; Interpolation; Microwave circuits; Microwave theory and techniques; radar; Radar applications", } @InProceedings{Hu:2022:CBF, author = "Xionglong Hu and Jinhua Chen and Jun Tang and Hai Qiao", booktitle = "{ECITech 2022; The 2022 International Conference on Electrical, Control and Information Technology, 25--27 March 2022, Kunming, China}", title = "{CORDIC}-based {FOC} control of polar coordinate systems and {FPGA} implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2022", ISBN = "3-8007-5916-0", ISBN-13 = "978-3-8007-5916-3", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://ieeexplore.ieee.org/document/10026076/", acknowledgement = ack-nhfb, } @InBook{Jahangir:2022:DAD, author = "Mohd Ziauddin Jahangir and Chandra Sekhar Paidimarry and Md. Sikander and M. V. Shravanthi", booktitle = "Advances in Signal Processing and Communication Engineering", title = "Design of an All Digital Phase-Locked Loop Using {CORDIC} Algorithm", publisher = "Springer Nature Singapore", pages = "143--149", year = "2022", DOI = "https://doi.org/10.1007/978-981-19-5550-1_14", ISBN = "981-19555-0-6", ISBN-13 = "978-981-19555-0-1", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Khachumov:2022:OCF, author = "Mikhail Khachumov and Alexander Talalaev and Alexander Pankratov", booktitle = "{2022 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM)}", title = "Onboard Computer Function Implementation Based on {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "795--800", year = "2022", DOI = "https://doi.org/10.1109/ICIEAM54945.2022.9787152", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Autonomous aerial vehicles; Computers; CORDIC algorithms; Data processing; onboard computer; parallel and pipeline computation; Routing; Search problems; Software; Software algorithms; specialized and universal computing units; unmanned aerial vehicle", } @Article{Lu:2022:EHI, author = "Hoang-Yang Lu and Mao-Hsu Yen and Che-Wei Chang and Chung-Wei Cheng and Tzu-Ching Hsu and Yu-Chi Lin", title = "Efficient Hardware Implementation of {CORDIC}-based Symbol Detector for {GSM} {MIMO} Systems: Algorithm and Hardware Architecture", journal = j-IEEE-ACCESS, volume = "10", pages = "114232--114241", year = "2022", DOI = "https://doi.org/10.1109/ACCESS.2022.3217523", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Computer architecture; CORDIC; Detectors; Givens rotation; GSM; GSM MIMO; Hardware; MIMO communication; symbol detector; Symbols; Transmitting antennas", } @InProceedings{Mishra:2022:DIL, author = "Saras Mani Mishra and Hanumant Singh Shekhawat and Gaurav Trivedi and Pidanic Jan and Zdenek Nemec", booktitle = "{2022 32nd International Conference Radioelektronika (RADIOELEKTRONIKA)}", title = "Design and Implementation of a Low Power Area Efficient {Bfloat16} based {CORDIC} Processor", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2022", DOI = "https://doi.org/10.1109/RADIOELEKTRONIKA54537.2022.9764911", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Adders; Bfloat16; Computer architecture; Convergence; Coordinate Systems; CORDIC; Delays; Digital computers; Field programmable gate arrays; Floating-point Representation; Hardware; Trigonometric function", } @Article{Mohamed:2022:FIR, author = "Sara M. Mohamed and Wafaa S. Sayed and Ahmed G. Radwan and Lobna A. Said", title = "{FPGA} Implementation of Reconfigurable {CORDIC} Algorithm and a Memristive Chaotic System With Transcendental Nonlinearities", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "69", number = "7", pages = "2885--2892", year = "2022", DOI = "https://doi.org/10.1109/TCSI.2022.3165469", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Adders; Chaotic communication; Chaotic systems; Computer architecture; CORDIC; Field programmable gate arrays; FPGA; Hardware; reconfigurable; Signal processing algorithms; Trajectory; transcendental", } @InProceedings{Mohanty:2022:DIH, author = "Kalinga Mohanty and D. Ramesh Reddy and Chitra P and Ramana Reddy G and P. Ravi Sankar and K. Prakash", booktitle = "{2022 3rd International Conference for Emerging Technology (INCET)}", title = "Design and Implementation of High Frequency Functional Signal Generator using {DDFS} based on 16-stage pipelined {CORDIC} architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2022", DOI = "https://doi.org/10.1109/INCET54531.2022.9825431", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Coordinate Rotation Digital Computer (CORDIC); Digital computers; Direct Digital Frequency Synthesis (DDFS); Frequency synthesizers; Look Up Table (LUT); Numerically Controlled Oscillator (NCO); Signal generators; Signal processing algorithms; Table lookup; Throughput", } @InProceedings{Nair:2022:FIA, author = "Harshita Nair and Anu Chalil", booktitle = "{2022 6th International Conference on Computing Methodologies and Communication (ICCMC)}", title = "{FPGA} Implementation of Area and Speed Efficient {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "512--518", year = "2022", DOI = "https://doi.org/10.1109/ICCMC53470.2022.9753730", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; CSA; CSLA; Digital computers; Digital signal processing; HanCarlson; Hardware; Ladner Fischer; Logic gates; Performance evaluation; Signal processing algorithms; Slansky", } @Misc{Nawandar:2022:SCC, author = "Neha K. Nawandar and Vishal R. Satpute", title = "A study and comparison of {COordinate Rotation DIgital Computer (CORDIC)} architectures", year = "2022", DOI = "https://doi.org/10.48550/arXiv.2211.04053", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2211.04053", abstract = "Most of the digital signal processing applications performs operations like multiplication, addition, square-root calculation, solving linear equations etc. The physical implementation of these operations consumes a lot of hardware and, software implementation consumes large memory. Even if they are implemented in hardware, they do not provide high speed, and due to this reason, even today the software implementation dominates hardware. For realizing operations from basic to very complex ones with less hardware, a Co-ordinate Rotation Digital Computer (CORDIC) proves beneficial. It is capable of performing mathematical operations right from addition to highly complex functions with the help of arithmetic unit and shifters only. This paper gives a brief overview of various existing CORDIC architectures, their working principle, application domain and a comparison of these architectures. Different designs are available as per the target, i.e. high accuracy and precision, low area, low latency, hardware efficient, low power, reconfigurability, etc. that can be used as per the application in which the architecture needs to be employed.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "2211.04053", primaryclass = "cs.AR", } @InProceedings{Puntsri:2022:RAG, author = "Kidsananapong Puntsri and Bussakorn Bunsri and Yaowarat Pittayang and Tanatip Bubpawan and Wuttichai Partipralam and Watid Phakphisut", booktitle = "{2022 37th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC)}", title = "Reconfigurable {AWGN} Generator Using {Box--Muller} Method with {CORDIC}-based Square Root Calculation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2022", DOI = "https://doi.org/10.1109/ITC-CSCC55581.2022.9894924", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Box--Muller Method; CODIC method; Gaussian Noise Generator; Generators; Noise generators; Parity check codes; Polar codes; Real-time systems; Registers; Table lookup", } @InBook{Ramani:2022:DDI, author = "Narnindi Ramani and Saroj Mondal", booktitle = "{VLSI} Design and Test", title = "A Deep Dive into {CORDIC} Architectures to Implement Trigonometric Functions", publisher = "Springer Nature Switzerland", address = "", pages = "551--561", year = "2022", DOI = "https://doi.org/10.1007/978-3-031-21514-8_45", ISBN = "3-031-21514-1", ISBN-13 = "978-3-031-21514-8", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib", acknowledgement = ack-nhfb, } @InProceedings{Satheeswaran:2022:DOD, author = "V. Satheeswaran and A. Reethika and B. Gomathy and M. A. Raja and S. Prabu", booktitle = "{2022 IEEE North Karnataka Subsection Flagship International Conference (NKCon)}", title = "Design of Optimized $ \pi / 4 $ {DQPSK} Modem using Fuzzy Based {CORDIC} Algorithm for {MIMO} Radar", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2022", DOI = "https://doi.org/10.1109/NKCon56289.2022.10126780", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "$\Pi/4$ DQPSK; AWgn Channel; BER; CORDIC; Costs; Hardware; MIMO radar; Modems; Phase noise; Software packages; VHDL", } @Article{Sharma:2022:LLR, author = "Rahul Sharma and Rahul Shrestha and Satinder K. Sharma", title = "Low-Latency and Reconfigurable {VLSI}-Architectures for Computing Eigenvalues and Eigenvectors Using {CORDIC}-based Parallel {Jacobi} Method", journal = j-IEEE-TRANS-VLSI-SYST, volume = "30", number = "8", pages = "1020--1033", year = "2022", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2022.3170526", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Computer architecture; Coordinate rotations digital-computer (CORDIC); Costs; digital VLSI architectures; eigenvalues; Eigenvalues and eigenfunctions; eigenvectors; field-programmable gate array (FPGA); Hardware; Jacobian matrices; Low latency communication; matrix theory; Very large scale integration; vLSI", } @InBook{Tarasov:2022:CAF, author = "Ilya Tarasov and Dmitry Potekhin", booktitle = "High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production", title = "Calculation of Activation Functions in {FPGA}-Based Neuroprocessors Using the {CORDIC} Algorithm", publisher = "Springer International Publishing", pages = "13--20", year = "2022", DOI = "https://doi.org/10.1007/978-3-030-94141-3_2", ISBN = "3-030-94141-8", ISBN-13 = "978-3-030-94141-3", ISSN = "1865-0937", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Udeji:2022:FIA, author = "Uchechukwu Leo Udeji and Martin Margala", booktitle = "{2022 IEEE 35th International System-on-Chip Conference (SOCC)}", title = "{FPGA} Implementation of Addition-based {CORDIC-SNN} With {Izhikevich} Neurons", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2022", DOI = "https://doi.org/10.1109/SOCC56010.2022.9908081", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Backpropagation; Biological system modeling; Complexity theory; Computational modeling; CORDIC algorithm; Energy efficiency; Firing; FPGA; Izhikevich neuron model; Neuromorphic computing; Neurons; Spiking neural networks; STDP; Training", } @InProceedings{Vakil:2022:TCB, author = "Ardavan Vakil and Miad Faezipour", booktitle = "{2022 International Conference on Computational Science and Computational Intelligence (CSCI)}", title = "Toward {CORDIC}-based Hyperbolic Function Implementation for Neural Engineering Hardware", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "416--418", year = "2022", DOI = "https://doi.org/10.1109/CSCI58124.2022.00080", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Biological system modeling; Computational modeling; CORDIC; Hardware; hyperbolic functions; Mathematical models; Neural engineering; neuronal spiking patterns; Real-time systems; Scientific computing; trigonometric functions", } @InProceedings{Verma:2022:RVC, author = "Anu Verma and Priyamvada Sharma and Bishnu Prasad Das", booktitle = "{2022 25th Euromicro Conference on Digital System Design (DSD)}", title = "{RISC-V} Core with Approximate Multiplier for Error-Tolerant Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "239--246", year = "2022", DOI = "https://doi.org/10.1109/DSD57027.2022.00040", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/risc-v.bib", acknowledgement = ack-nhfb, keywords = "Approximate multiplier; Computer architecture; Coordinate rotation digital computer (CORDIC); Digital computers; Hardware description language (HDL); Instruction sets; Libraries; Microprocessors; Power demand; Reduced instruction set architecture; Signal processing algorithms", } @InProceedings{Vinh:2022:FIT, author = "Truong Quang Vinh and Tran Ba Thanh and Dang Hoang Viet", booktitle = "{2022 9th NAFOSTED Conference on Information and Computer Science (NICS)}", title = "{FPGA} Implementation of Trigonometric Function Using Loop-Optimized Radix-4 {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "217--222", year = "2022", DOI = "https://doi.org/10.1109/NICS56915.2022.10013467", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer science; Convolution; Convolutional neural networks; CORDIC; FPGA; Hardware; hardware implementation; Performance evaluation; Quaternions; Radix-4 CORDIC; Signal processing algorithms; trigonometric function", } @Article{Wang:2022:HAE, author = "Jipeng Wang and Zixuan Peng and Yi Zhan and Yujie Li and Guoyi Yu and Kwen-Siong Chong and Chao Wang", title = "A High-Accuracy and Energy-Efficient {CORDIC} Based {Izhikevich} Neuron With Error Suppression and Compensation", journal = "IEEE Transactions on Biomedical Circuits and Systems", volume = "16", number = "5", pages = "807--821", year = "2022", DOI = "https://doi.org/10.1109/TBCAS.2022.3191004", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "biological neuron model; Biological system modeling; Brain modeling; brain-like neural network; Computational modeling; CORDIC; Energy efficiency; error analysis; fixed-point design optimization; FPGA; Hardware; Izhikevich neuron model; Linear systems; neuromorphic; Neurons; spiking neural network", } @Article{Wu:2022:LLL, author = "Ruiqi Wu and Hui Chen and Guoqiang He and Yuxiang Fu and Li Li", title = "Low-Latency Low-Complexity Method and Architecture for Computing Arbitrary Nth Root of Complex Numbers", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "69", number = "6", pages = "2529--2541", year = "2022", DOI = "https://doi.org/10.1109/TCSI.2022.3157308", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Complex; Complexity theory; Computer architecture; CORDIC; Delays; Hardware; hardware design; Low latency communication; Matlab; Nth root; parabolic synthesis; Software", } @Article{Zhang:2022:URB, author = "Zihan Zhang and Jianfei Jiang and Yongxin Zhu and Qin Wang and Zhigang Mao and Naifeng Jing", title = "A Universal {RRAM}-based {DNN} Accelerator With Programmable Crossbars Beyond {MVM} Operator", journal = j-IEEE-TRANS-CAD-ICS, volume = "41", number = "7", pages = "2094--2106", year = "2022", CODEN = "ITCSDI", DOI = "https://doi.org/10.1109/TCAD.2021.3107252", ISSN = "0278-0070 (print), 1937-4151 (electronic)", ISSN-L = "0278-0070", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=43", keywords = "Biological system modeling; Central Processing Unit; Computational modeling; Coordinated rotation digital computer (CORDIC); deep neural network (DNN); Graphics processing units; Integrated circuit modeling; multi-iteration; resistive-RAM (RRAM); Semiconductor device modeling; Throughput; transcendental activation", } @Article{Zhao:2022:HPR, author = "Yupu Zhao and Hong Lv and Jun Li and Lulu Zhu", title = "High performance and resource efficient {FFT} processor based on {CORDIC} algorithm", journal = j-EURASIP-J-ADV-SIGNAL-PROCESS, volume = "2022", number = "1", month = mar, year = "2022", DOI = "https://doi.org/10.1186/s13634-022-00855-6", ISSN = "1687-6180", ISSN-L = "1687-6172", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "EURASIP Journal on Advances in Signal Processing", journal-URL = "http://asp.eurasipjournals.springeropen.com/", } @InProceedings{Bhardwaj:2023:LCC, author = "Swati Bhardwaj and Diptasri Ghosh and Debeshi Dutta and Ganesh Cheduluri and Vidhumauli Hansigida and Appa Rao Nali and Amit Acharyya", booktitle = "{2023 45th Annual International Conference of the IEEE Engineering in Medicine \& Biology Society (EMBC)}", title = "Low Complex {CORDIC}-based Hand Movement Recognition Design Methodology for Rehabilitation and Prosthetic Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2023", DOI = "https://doi.org/10.1109/EMBC40787.2023.10340238", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Classification algorithms; Clustering algorithms; Computer architecture; Design methodology; EEMD; Electromyography; FastICA; Hardware; K-Means clustering; LDA; Target recognition", } @InProceedings{Carmel:2023:RBA, author = "Ariya Carmel and Adersh V R", booktitle = "{2023 International Conference on Control, Communication and Computing (ICCC)}", title = "Reconfigurable Beamforming Architecture for Ultrasound Imaging", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2023", DOI = "https://doi.org/10.1109/ICCC57789.2023.10164972", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; beamforming; CORDIC IP core; DAS; Delays; DMAS; FBRA; Hardware; pipelined non-restoring algorithm; reconfigurable beamforming; Software; Software algorithms; Transducers; Ultrasonic imaging; ultrasound imaging", } @InProceedings{Chang:2023:ULP, author = "Yaoxing Chang and Petar Jokic and Stephane Emery and Luca Benini", booktitle = "{2023 Design, Automation \& Test in Europe Conference \& Exhibition (DATE)}", title = "An Ultra-Low-Power Serial Implementation for Sigmoid and Tanh Using {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--2", year = "2023", DOI = "https://doi.org/10.23919/DATE56975.2023.10136960", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial neural networks; Computer architecture; CORDIC; edgeML; Heuristic algorithms; Power demand; serial architecture; sigmoid; Table lookup; tanh; Task analysis; Throughput", } @Article{Changela:2023:NAS, author = "Ankur Changela and Mazad Zaveri and Yogesh Kumar", title = "A New Angle Set-Based Absolute Scaling-free Reconfigurable {CORDIC} Algorithm", journal = j-CSSP, volume = "42", number = "12", pages = "7404--7432", month = jul, year = "2023", CODEN = "CSSPEH", DOI = "https://doi.org/10.1007/s00034-023-02452-w", ISSN = "1531-5878", ISSN-L = "0278-081X", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Circuits, systems, and signal processing: {CSSP}", journal-URL = "http://link.springer.com/journal/34", } @Article{Changela:2023:RCA, author = "Ankur Changela and Yogesh Kumar and Marcin Wo niak and Jana Shafi and Muhammad Fazal Ijaz", title = "Radix-4 {CORDIC} algorithm based low-latency and hardware efficient {VLSI} architecture for {$N$}-th root and {$N$}-th power computations", journal = j-SCI-REP, volume = "13", number = "1", month = nov, year = "2023", CODEN = "SRCEC3", DOI = "https://doi.org/10.1038/s41598-023-47890-3", ISSN = "2045-2322", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Scientific Reports", journal-URL = "http://www.nature.com/srep/", } @Article{Chen:2023:DPR, author = "Woei-Luen Chen and Guan-Ling Chen", title = "A Direct Phase Resolver With Zero Transient Against Phase Jump and Variable Frequency Conditions", journal = j-IEEE-TRANS-INSTRUM-MEAS, volume = "72", pages = "1--10", year = "2023", CODEN = "IEIMAO", DOI = "https://doi.org/10.1109/TIM.2022.3229715", ISSN = "0018-9456 (print), 1557-9662 (electronic)", ISSN-L = "0018-9456", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Instrumentation and Measurement", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=19", keywords = "Aerospace electronics; Basis function; COordinate Rotation DIgital Computer (CORDIC); Fitting; Generators; Phase detection; phase detection; phase jump; Phase locked loops; phase-locked loops (PLLs); polar coordinate; Satellites; Transient analysis; variable frequency", } @Article{Chen:2023:QES, author = "Yi-Ta Chen and Yu-Chuan Chuang and Li-Sheng Chang and An-Yeu Wu", title = "{S-QRD-ELM}: Scalable {$ Q R $}-Decomposition-based Extreme Learning Machine Engine Supporting Online Class-Incremental Learning for {ECG}-based User Identification", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "70", number = "6", pages = "2342--2355", year = "2023", DOI = "https://doi.org/10.1109/TCSI.2023.3253705", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "class incremental learning; CORDIC; ECG user identification; Electrocardiography; Energy efficiency; Engines; extreme learning machine; Extreme learning machines; Industrial Internet of Things; Object recognition; online learning; QR-decomposition; Training", } @InProceedings{Chetana:2023:VIC, author = "Chetana and Sharmila K P", booktitle = "{2023 Third International Conference on Artificial Intelligence and Smart Energy (ICAIS)}", title = "{VLSI} Implementation of Coordinate Rotation Based Design Methodology using {Verilog HDL}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1574--1581", year = "2023", DOI = "https://doi.org/10.1109/ICAIS56108.2023.10073928", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC- Coordinate rotation digital computer; Digital computers; FPGA- Field programmable gate array; Hardware; Power demand; Throughput; Timing; Very large scale integration", } @InProceedings{Chi:2023:PIM, author = "Shuli Chi and Sammy Johnatan Carbajal Ipenza and Ulrich Muehlmann", booktitle = "{2023 Austrochip Workshop on Microelectronics (Austrochip)}", title = "Phase-independent maximum modulation level extraction in {IQ} receivers", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "14--17", year = "2023", DOI = "https://doi.org/10.1109/Austrochip61217.2023.10285165", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "channel combiner; CORDIC; FeliCa; Filtering; Hardware; magnitude receiver; Microelectronics; Phase modulation; Receivers; RFID; Robustness; Signal processing algorithms", } @Article{Dang:2023:PRF, author = "Trung-Hieu Dang and Van-Nghia Tran and Le-Cuong Nguyen", title = "A parallel rotator for {FFT\slash IFFT} applied in multi-carrier wireless communication systems", journal = j-DIGIT-SIGNAL-PROCESS, volume = "141", pages = "104190", year = "2023", CODEN = "DSPREJ", DOI = "https://doi.org/10.1016/j.dsp.2023.104190", ISSN = "1051-2004 (print), 1095-4333 (electronic)", ISSN-L = "1051-2004", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1051200423002853", acknowledgement = ack-nhfb, fjournal = "Digital Signal Processing", journal-URL = "https://www.sciencedirect.com/journal/digital-signal-processing", keywords = "5G new radio; Coordinate rotation digital computer (CORDIC); Digital video broadcasting (DVB); Fast Fourier transform (FFT); FPGA; Orthogonal frequency division multiplexing (OFDM)", } @InProceedings{Deng:2023:HOQ, author = "Juinn-Horng Deng and Pavan Vatal Shankar Prasad and Yuan-Pei Wang and Min-Sion Yang and T. N. Vyas Kaushik and P. R. Siva Prasanna", booktitle = "{2023 46th International Conference on Telecommunications and Signal Processing (TSP)}", title = "High-Order {QAM\slash APSK} Receiver Design with Blind {CFO} Estimator of {CORDIC}-based High-Order Power Pre-Processor for {LEO} Satellite Communications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2023", DOI = "https://doi.org/10.1109/TSP59544.2023.10197808", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "6G mobile communication; Blind CFO estimator; CORDIC; Doppler effect; Frequency estimation; Hardware; High-order power operation; High-order QAM/APSK; Hybrid power systems; LEO satellite Communications; Low earth orbit satellites; Software defined radio (SDR); Transceivers", } @InProceedings{Deng:2023:SIR, author = "Juinn-Horng Deng and T. N. Vyas Kaushik and P. R. Siva Prasanna and Min-Sion Yang and Pavan Vatal Shankar Prasad", booktitle = "{2023 International Conference on Consumer Electronics --- Taiwan (ICCE-Taiwan)}", title = "Study of Iterations Reduction for {CORDIC} Computation with More Accuracy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "311--312", year = "2023", DOI = "https://doi.org/10.1109/ICCE-Taiwan58799.2023.10226942", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computational complexity; Consumer electronics; Customer relationship management; Digital computers; Iterative methods; Simulation", } @InProceedings{Fang:2023:CAD, author = "Chongzheng Fang and Chenhui Zhou and Fan Ye", booktitle = "{2023 IEEE 15th International Conference on ASIC (ASICON)}", title = "A Common Architecture for Digital Process of Ultrasonic Imaging System after {AFE}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2023", DOI = "https://doi.org/10.1109/ASICON58565.2023.10395979", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Acoustics; CORDIC; digital demodulator; digital down conversion; Information filters; offset elimination; Solids; Standards; Testing; Ultrasonic imaging; ultrasonic imaging; Visualization", } @InProceedings{Hingu:2023:AFI, author = "Chanakya Hingu and Xingang Fu and Rajab Challoo and Jiang Lu and Xiaokun Yang and Letu Qingge", booktitle = "{2023 IEEE 14th Annual Ubiquitous Computing, Electronics \& Mobile Communication Conference (UEMCON)}", title = "Accelerating {FPGA} Implementation of Neural Network Controllers via 32-bit Fixed-Point Design for Real-Time Control", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "0445--0450", year = "2023", DOI = "https://doi.org/10.1109/UEMCON59035.2023.10316098", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "32-bit fixed-point number; CORDIC; Cyclones; FPGA; Hardware; Logic gates; LUT; Memory management; Mobile communication; neural network controller; real-time controller; Real-time systems; Table lookup", } @InProceedings{Hong:2023:LCH, author = "Wanyuan Hong and Hui Chen and Lianghua Quan and Yuxiang Fu and Li Li", booktitle = "{2023 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Low-Cost High-Precision Architecture for Arbitrary Floating-Point Nth Root Computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2023", DOI = "https://doi.org/10.1109/ISCAS46773.2023.10181944", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CMOS technology; Computer architecture; CORDIC; Digital signal processing; floating-point; Frequency synthesizers; high precision; low cost; Navigation; Nth root; Power demand; Simulation; SRT", } @Misc{Kim:2023:EAC, author = "Young-Man Kim", title = "Error Analysis of {CORDIC} Processor with {FPGA} Implementation", year = "2023", DOI = "https://doi.org/10.48550/arXiv.2308.01025", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2308.01025", abstract = "The coordinate rotation digital computer (CORDIC) is a shift-add based fast computing algorithm which has been found in many digital signal processing (DSP) applications. In this paper, a detailed error analysis based on mean square error criteria and its implementation on FPGA is presented. Two considered error sources are an angle approximation error and a quantization error due to finite word length in fixed-point number system. The error bound and variance are discussed in theory. The CORDIC algorithm is implemented on FPGA using the Xilinx Zynq-7000 development board called ZedBoard. Those results of theoretical error analysis are practically investigated by implementing it on actual FPGA board. In addition, Matlab is used to provide theoretical value as a baseline model by being set up in double-precision floating-point to compare it with the practical value of errors on FPGA implementation.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "2308.01025", primaryclass = "eess.SY", } @Article{Leigh:2023:REH, author = "Alexander J. Leigh and Moslem Heidarpur and Mitra Mirhassani", title = "A Resource-Efficient and High-Accuracy {CORDIC}-based Digital Implementation of the {Hodgkin Huxley} Neuron", journal = j-IEEE-TRANS-VLSI-SYST, volume = "31", number = "9", pages = "1377--1388", year = "2023", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2023.3296057", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Behavioral sciences; Biological system modeling; Biology; Computational modeling; Hardware; Hodgkin-Huxley (HH) neuron; Mathematical models; neuromorphic hardware; Neurons; spiking neuron", } @InProceedings{Liu:2023:DMR, author = "Youyao Liu and Shihao Gai and Ping Liu and Haimei Huang", booktitle = "{2023 19th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)}", title = "Design of Mixed-radix {FFT} Processor Based on The Modified {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2023", DOI = "https://doi.org/10.1109/ICNC-FSKD59587.2023.10280973", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; Digital computers; Fast Fourier transforms; FFT; Hardware; Knowledge discovery; Mixed-Radix; modified CORDIC algorithm; Pipelines; Program processors", } @InProceedings{Mao:2023:CBM, author = "Tongbao Mao and Boyu Hua and Xin Tai and Maozhong Song and Qiangjun Zhou and Qiuming Zhu", booktitle = "{2023 IEEE MTT-S International Wireless Symposium (IWS)}", title = "A {CORDIC}-based Multi-Scene {MIMO} Channel Emulator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2023", DOI = "https://doi.org/10.1109/IWS58240.2023.10222728", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "channel emulator; Computer architecture; CORDIC; Delays; Fading channels; FPGA; Hardware; MIMO; Probability density function; Resource management; SoFM; Wireless communication", } @Article{Mehra:2023:EEE, author = "Sumiran Mehra and Gopal Raut and Ribhu Das Purkayastha and Santosh Kumar Vishvakarma and Anton Biasizzo", title = "An Empirical Evaluation of Enhanced Performance Softmax Function in Deep Learning", journal = j-IEEE-ACCESS, volume = "11", pages = "34912--34924", year = "2023", DOI = "https://doi.org/10.1109/ACCESS.2023.3265327", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Computational modeling; Computer architecture; CORDIC algorithm; deep learning; Hardware; hardware optimization; Iterative algorithms; performance enhancement; Pipeline processing; pipeline stages; Propagation delay; Softmax function (SF); Throughput", } @Article{Mohamed:2023:UPC, author = "Nadya A. Mohamed and Joseph R. Cavallaro", title = "A Unified Parallel {CORDIC}-based Hardware Architecture for {LSTM} Network Acceleration", journal = j-IEEE-TRANS-COMPUT, volume = "72", number = "10", pages = "2752--2766", month = oct, year = "2023", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2023.3268400", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Accelerator; Computer architecture; CORDIC; Field programmable gate arrays; fixed-point arithmetic; FPGA; Hardware; Logic gates; long short-term memory; Microprocessors; Recurrent neural networks; recurrent neural networks; serial-parallel computation; Sparse matrices; systolic", } @Article{Paz:2023:CBC, author = "Pedro Paz and Mario Garrido", title = "{CORDIC}-based Computation of Arcsine and Arccosine Functions on {FPGA}", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "70", number = "9", pages = "3684--3688", year = "2023", DOI = "https://doi.org/10.1109/TCSII.2023.3262353", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "Approximation algorithms; arccosine; arcsine; Complexity theory; CORDIC; cosine; Europe; Field programmable gate arrays; FPGA; Hardware; Mathematical models; Registers; sine; trigonometric", } @Article{Pujari:2023:DFI, author = "Shubhanjay S. Pujari and M. Bhaskar", title = "Design and {FPGA} Implementation of Pre-computation Based Radix-4 Hyperbolic {CORDIC} for Direct Digital Synthesis", journal = "Journal of Signal Processing Systems", volume = "95", number = "6", pages = "765--775", month = jun, year = "2023", DOI = "https://doi.org/10.1007/s11265-023-01879-3", ISSN = "1939-8018 (print), 1939-8115 (electronic)", ISSN-L = "1939-8115", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, journal-URL = "https://link.springer.com/journal/11265/volumes-and-issues", } @Article{Rachel:2023:RLP, author = "N. Agnes Shiny Rachel and G. Rajakumar", title = "A robust low-power fsm {CORDIC} lms filter design for exponential noise removal in pacemaker", journal = j-INT-J-ELECTRON, volume = "111", number = "12", pages = "2303--2323", month = oct, year = "2023", CODEN = "IJELA2", DOI = "https://doi.org/10.1080/00207217.2023.2267216", ISSN = "1362-3060", ISSN-L = "0020-7217", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Electronics Theoretical \& Experimental", } @Article{Raut:2023:EAE, author = "Gopal Raut and Saurabh Karkun and Santosh Kumar Vishvakarma", title = "An Empirical Approach to Enhance Performance for Scalable {CORDIC}-Based Deep Neural Networks", journal = j-TRETS, volume = "16", number = "3", pages = "39:1--39:??", month = sep, year = "2023", CODEN = "????", DOI = "https://doi.org/10.1145/3596220", ISSN = "1936-7406 (print), 1936-7414 (electronic)", ISSN-L = "1936-7406", bibdate = "Sat Aug 19 07:37:30 MDT 2023", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/trets.bib", URL = "https://dl.acm.org/doi/10.1145/3596220", abstract = "Practical implementation of deep neural networks (DNNs) demands significant hardware resources, necessitating high computational power and memory bandwidth. While existing field-programmable gate array (FPGA)-based DNN accelerators are primarily optimized \ldots{}", acknowledgement = ack-nhfb, ajournal = "ACM Trans. Reconfigurable Technol. Syst.", articleno = "39", fjournal = "ACM Transactions on Reconfigurable Technology and Systems (TRETS)", journal-URL = "https://dl.acm.org/loi/trets", } @InBook{Roy:2023:CA, author = "Shirshendu Roy", booktitle = "Advanced Digital System Design", title = "{CORDIC} Algorithm", publisher = "Springer International Publishing", pages = "207--225", month = sep, year = "2023", DOI = "https://doi.org/10.1007/978-3-031-41085-7_11", ISBN = "3-031-41085-8", ISBN-13 = "978-3-031-41085-7", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Sathe:2023:ECA, author = "Pushkar Sathe and Ajay Verma and Laxmeesha Somappa", booktitle = "{2023 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)}", title = "Efficient {CORDIC} Architectures for {FFT} Based All Digital Resonator Frequency Estimation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "178--182", year = "2023", DOI = "https://doi.org/10.1109/APCCAS60141.2023.00049", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Angle Recoding; CORDIC; FFT; Frequency estimation; Frequency to digital converter; MEMS readouts; Micromechanical devices; Pipelined architecture; Pipelines; Power demand; Resonant frequency; Sensors; Throughput", } @InProceedings{Stasytis:2023:OTH, author = "Lukas Stasytis and Zsolt Istv{\'a}n", booktitle = "{2023 33rd International Conference on Field-Programmable Logic and Applications (FPL)}", title = "Optimization Techniques for {Hestenes--Jacobi} {SVD} on {FPGAs}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "144--150", year = "2023", DOI = "https://doi.org/10.1109/FPL60245.2023.00028", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Costs; Field programmable gate arrays; FPGA; Hardware; Hestenes-Jacobi; Optimization; SVD; Task analysis; Throughput; Tuning", } @InBook{Sun:2023:MAO, author = "Sixian Sun and Qijia Zheng and Liping Ren and Linxue An and Yufeng He and Shuyue Han", booktitle = "Proceedings of 2023 Chinese Intelligent Systems Conference", title = "Method and Testing of Shaft Angle Digital Conversion Based on Improved {CORDIC} Algorithm", publisher = "Springer Nature Singapore", pages = "595--608", year = "2023", DOI = "https://doi.org/10.1007/978-981-99-6882-4_48", ISBN = "981-9968-82-8", ISBN-13 = "978-981-9968-82-4", ISSN = "1876-1119", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Urs:2023:DIC, author = "H. D. Nataraj Urs and B. N. Aravind and K. {Krishna Veni} and N Yashwanth", booktitle = "{2023 IEEE 3rd International Conference on Technology, Engineering, Management for Societal impact using Marketing, Entrepreneurship and Talent (TEMSMET)}", title = "Design and Implementation of {CORDIC} based Digital Modulation Techniques using {DPLL}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2023", DOI = "https://doi.org/10.1109/TEMSMET56707.2023.10150192", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Digital communication; Digital modulation; DPLL; Engineering management; Entrepreneurship; Frequency modulation; Hardware; Modulation; QPSK; Quantization (signal)", } @InProceedings{V:2023:IFP, author = "Velmurugan V M and Ayub Khan A and Bharanidharan S", booktitle = "{2023 International Conference on Next Generation Electronics (NEleX)}", title = "Implementation of Floating Point {CORDIC} Algorithm Using 45 nm Technology For {COS} {SINE} Generation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2023", DOI = "https://doi.org/10.1109/NEleX59773.2023.10420961", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Arithmetic; Arrays; atan; Codes; Coordinate Rotation Digital Computer; Field Programmable Gate Arrays; FPUs; Graphic Data System; Hardware design languages; Logic gates; Next generation networking; Standards", } @Article{Verma:2023:ESF, author = "Anu Verma and Khyati Kiyawat and Bishnu Prasad Das and Pramod Kumar Meher", title = "An Efficient Scaling-Free Folded Hyperbolic {CORDIC} Design Using a Novel Low-Complexity Power-of-2 {Taylor} Series Approximation", journal = j-IEEE-TRANS-VLSI-SYST, volume = "31", number = "8", pages = "1167--1177", year = "2023", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2023.3281078", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Approximation algorithms; Computer architecture; Convergence; Coordinate rotation digital computer (CORDIC); Field programmable gate arrays; hyperbolic CORDIC; hyperbolic trigonometric functions; Pipelines; Taylor series; Taylor series approximation; Trajectory", } @InProceedings{Verma:2023:PCA, author = "Sandeep Kumar Verma and Muralidhar Pullakandam and Rama Muni Reddy Yanamala", booktitle = "{2023 IEEE 20th India Council International Conference (INDICON)}", title = "Pipelined {CORDIC} Architecture Based {DDFS} Design and Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1440--1445", year = "2023", DOI = "https://doi.org/10.1109/INDICON59947.2023.10440811", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; DDFS; FPGA; Hardware implementation; ILA; Pipeline; Pipelines; Power demand; Resource management; Signal processing algorithms; Simulation; Synthetic aperture radar; Table lookup; Verilog HDL; VIO", } @InProceedings{Wang:2023:RHP, author = "Bochang Wang and Ziang Duan and Zixuan Shen and Yuansheng Zhao and Lu Gao and Chao Wang", booktitle = "{2023 IEEE International Conference on Integrated Circuits, Technologies and Applications (ICTA)}", title = "A Reconfigurable High-Precision and Energy-Efficient Circuit Design of Sigmoid, Tanh and Softmax Activation Functions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "118--119", year = "2023", DOI = "https://doi.org/10.1109/ICTA60488.2023.10364285", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Activation Function; Approximation algorithms; Circuit synthesis; CORDIC; DNN Accelerator; Energy efficiency; Integrated circuit technology; LSTM; Power demand; Sigmoid; Softmax; Speech recognition; Table lookup; Tanh", } @Article{Wang:2023:RIE, author = "Yanlin Wang", title = "Research on Image Edge Detection Algorithm Based on {CORDIC}", journal = j-J-PHYS-CONF-SER, volume = "2440", number = "1", pages = "012001", month = jan, year = "2023", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/2440/1/012001", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Tue Nov 11 13:44:01 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", } @InProceedings{Wu:2023:DBC, author = "Haoyu Wu and Liyu Lin and Haodong Sun and Xiaoyang Zeng and Yun Chen", booktitle = "{2023 IEEE 15th International Conference on ASIC (ASICON)}", title = "A Decision-Based {CORDIC} Hardware for Arc Tangent Calculation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2023", DOI = "https://doi.org/10.1109/ASICON58565.2023.10396585", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "arc tangent; Convergence; CORDIC; Decision-Based; Digital computers; Hardware", } @InProceedings{Xiang:2023:DIA, author = "Fuxin Xiang and Xiaojiang Yao and Zilong Zheng and Shenghui Fan and Tubin Zhou", booktitle = "{2023 8th International Conference on Integrated Circuits and Microsystems (ICICM)}", title = "Design and Implementation of Active Phased Array Beam Steering System Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "612--616", year = "2023", DOI = "https://doi.org/10.1109/ICICM59499.2023.10365889", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Beam steering; Beam Steering; Control systems; Cordic Algorithm; FPGA; Hardware; Phased Array Radar; Phased arrays; Real-time systems; Software; Software algorithms", } @Article{Yen:2023:AVA, author = "Mao-Hsu Yen and Hoang-Yang Lu and Ken-Hua Lu and Shao-Yueh Lin and Chia-Chen Chan", title = "Algorithm and {VLSI} Architecture of a Near-Optimum Symbol Detector for {QSM} {MIMO} Systems", journal = j-IEEE-ACCESS, volume = "11", pages = "144113--144125", year = "2023", DOI = "https://doi.org/10.1109/ACCESS.2023.3343838", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Computer architecture; coordinate rotation digital computer (CORDIC); Detectors; Digital computers; givens rotation; Hardware; MIMO communication; Quadrature spatial modulation; Receiving antennas; Symbols; Transmitting antennas", } @Article{Yen:2023:PGR, author = "Mao-Hsu Yen and Hoang-Yang Lu and Shao-Yueh Lin and Ken-Hua Lu and Chia-Chen Chan", title = "A Partial-{Givens}-Rotation-Based Symbol Detector for {GSM} {MIMO} Systems: Algorithm and {VLSI} Implementation", journal = "IEEE Systems Journal", volume = "17", number = "4", pages = "6322--6333", year = "2023", DOI = "https://doi.org/10.1109/JSYST.2023.3293717", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Coordinate rotation digital computer (CORDIC); Detectors; generalized spatial modulation (GSM); givens rotation (GR); GSM; Hardware; Matrix decomposition; MIMO communication; multiple-input multiple-output (MIMO); Symbols; Transmitting antennas", } @Article{Zhang:2023:HPM, author = "Yuan Zhang and Lele Peng and Lianghua Quan and Yonggang Zhang and Shubin Zheng and Hui Chen", title = "High-Precision Method and Architecture for Base-2 Softmax Function in {DNN} Training", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "70", number = "8", pages = "3268--3279", year = "2023", DOI = "https://doi.org/10.1109/TCSI.2023.3277247", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computational modeling; Computer architecture; DNN; Hardware; high precision; hyperbolic CORDIC; Load modeling; Neural networks; Softmax; Table lookup; Training; training", } @InProceedings{Zhi:2023:SHC, author = "Hao Zhi and Jiye Jiao", booktitle = "{2023 19th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)}", title = "Software and Hardware Collaborative Design of {PMSM} {FOC} System Based on {CORDIC} Algorithm Improvement", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2023", DOI = "https://doi.org/10.1109/ICNC-FSKD59587.2023.10281059", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ARM; CORDIC algorithm; FOC; FPGA; Hardware; Parallel processing; Permanent magnet motors; PMSM; Process control; Program processors; Software algorithms; Space vector pulse width modulation", } @InProceedings{A:2024:DIF, author = "Karthik A and Ramana R and Ramkumar K and Santhosh R and Robin K", booktitle = "{2024 International Conference on Data Science and Network Security (ICDSNS)}", title = "Design and Implementation of Fundamental Calculation Method by using the {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2024", DOI = "https://doi.org/10.1109/ICDSNS62112.2024.10691244", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Complexity theory; CORDIC algorithm; Delays; Fast Fourier transforms; Logic gates; Multiplexing; multiplier; Network security; Power demand; Program processors; Radix-4 modified booth (16 bit) multiplier; Simulation; Very large scale integration", } @InProceedings{Al-Safi:2024:CBI, author = "Amean Al-Safi", booktitle = "{2024 15th International Conference on Computing Communication and Networking Technologies (ICCCNT)}", title = "{CORDIC} Based Implementation of {QPSK} Modulator Using {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2024", DOI = "https://doi.org/10.1109/ICCCNT61001.2024.10724933", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Costs; DDS; Digital Modulators; Field programmable gate arrays; FPGA; Generators; Hardware; Industries; QPSK Modulator; Quadrature phase shift keying; Radio frequency; System-on-chip; Very high speed integrated circuits; VHDL", } @Article{Ashar:2024:QEH, author = "Neha Ashar and Gopal Raut and Vasundhara Trivedi and Santosh Kumar Vishvakarma and Akash Kumar", title = "{QuantMAC}: Enhancing Hardware Performance in {DNNs} With Quantize Enabled Multiply-Accumulate Unit", journal = j-IEEE-ACCESS, volume = "12", pages = "43600--43614", year = "2024", DOI = "https://doi.org/10.1109/ACCESS.2024.3379906", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Approximate compute; Arithmetic; Artificial intelligence; Artificial neural networks; bit-truncation; Computer architecture; Convolution; CORDIC; deep neural network; Hardware; hardware accelerator; quantize processing element; Throughput", } @Article{Bahrami:2024:DDS, author = "Mohammad Kazem Bahrami and Soheila Nazari", title = "Digital design of a spatial-pow-{STDP} learning block with high accuracy utilizing pow {CORDIC} for large-scale image classifier spatiotemporal {SNN}", journal = j-SCI-REP, volume = "14", number = "1", month = feb, year = "2024", CODEN = "SRCEC3", DOI = "https://doi.org/10.1038/s41598-024-54043-7", ISSN = "2045-2322", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "Scientific Reports", journal-URL = "http://www.nature.com/srep/", } @InProceedings{Basavaraju:2024:EHA, author = "Mahati Basavaraju and Vinay Rayapati and Madhav Rao", booktitle = "{2024 25th International Symposium on Quality Electronic Design (ISQED)}", title = "Exploring Hardware Activation Function Design: {CORDIC} Architecture in Diverse Floating Formats", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2024", DOI = "https://doi.org/10.1109/ISQED60706.2024.10528686", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Activation Function; Artificial neural networks; BFloat; Computer architecture; CORDIC; Costs; Data Representation; Floating Point; Focusing; Hardware; Libraries; Measurement; Neural networks; POSIT; Sigmoid; Softmax; Tanh; TensorFloat", } @InProceedings{Basavaraju:2024:PHC, author = "Mahati Basavaraju and Vinay Rayapati and Madhav Rao", booktitle = "{2024 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "{POCO}: Hardware Characterization of Activation Functions using {POSIT-CORDIC} Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2024", DOI = "https://doi.org/10.1109/ISCAS58744.2024.10558487", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Activation Functions; Artificial neural networks; Benchmark testing; Circuits and systems; Computer architecture; CORDIC; Design methodology; Digital computers; Dynamic range; Neural Networks; POSIT; Sigmoid; Softmax; Tanh", } @Article{Bhattacharjya:2024:MLE, author = "Rajat Bhattacharjya and Arnab Sarkar and Biswadip Maity and Nikil Dutt", title = "{MUSIC-Lite}: Efficient {MUSIC} Using Approximate Computing: an {OFDM} Radar Case Study", journal = "IEEE Embedded Systems Letters", volume = "16", number = "4", pages = "329--332", year = "2024", DOI = "https://doi.org/10.1109/LES.2024.3440208", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Approximate computing; Approximation algorithms; CORDIC; Frequency division multiplexing; Hardware; Multiple signal classification; multiple signal classification (MUSIC); OFDM; orthogonal frequency-division multiplexing (OFDM) radar; Pattern classification; Radar; singular value decomposition (SVD); Space exploration; System-on-chip", } @Misc{Burge:2024:QCA, author = "Iain Burge and Michel Barbeau and Joaquin Garcia-Alfaro", title = "Quantum {CORDIC} --- Arcsin on a Budget", year = "2024", DOI = "https://doi.org/10.48550/arXiv.2411.14434", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2411.14434", abstract = "This work introduces a quantum algorithm for computing the arcsine function to an arbitrary accuracy. We leverage a technique from embedded computing and field-programmable gate array (FPGA), called COordinate Rotation DIgital Computer (CORDIC). CORDIC is a family of iterative algorithms that, in a classical context, can approximate various trigonometric, hyperbolic, and elementary functions using only bit shifts and additions. Adapting CORDIC to the quantum context is non-trivial, as the algorithm traditionally uses several non-reversible operations. We detail a method for CORDIC which avoids such non-reversible operations. We propose multiple approaches to calculate the arcsine function reversibly with CORDIC. For n bits of precision, our method has space complexity of order n qubits, a layer count in the order of n times log n, and a CNOT count in the order of n squared. This primitive function is a required step for the Harrow-Hassidim-Lloyd (HHL) algorithm, is necessary for quantum digital-to-analog conversion, can simplify a quantum speed-up for Monte-Carlo methods, and has direct applications in the quantum estimation of Shapley values.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "2411.14434", primaryclass = "quant-ph", } @Article{Cao:2024:MPS, author = "Shengli Cao and Yutao Jiao and Gang Xiao and Wenbin Wu and Ziyu Xie and Jiawei Li and Xiewen Liu and Ergang Zhao and Zhao Yue", title = "Miniaturized photoelectrochemical sensing system for reusable detection of macromolecules and its applications for unattended environmental monitoring", journal = "Sensors and Actuators B: Chemical", volume = "421", pages = "136515", year = "2024", DOI = "https://doi.org/10.1016/j.snb.2024.136515", ISSN = "0925-4005", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0925400524012450", acknowledgement = ack-nhfb, keywords = "DFT demodulation; Field monitoring; High accuracy; Miniaturization; Modulated photocurrent; Photoelectrochemical measurement system", } @Article{Celikovic:2024:HED, author = "Janko {\v{C}}elikovi{\'c} and Wisam Al-Hoor and John Kesterson and Angel Maria Gomez Arguello and Siamak Abedinpour and Luca Corradini and Dragan Maksimovi{\'c}", title = "Hardware-Efficient Digital Autotuning for Integrated Switched-Mode Battery Chargers", journal = "IEEE Transactions on Power Electronics", volume = "39", number = "5", pages = "5041--5057", year = "2024", DOI = "https://doi.org/10.1109/TPEL.2023.3342152", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Autotuning; battery chargers; Control systems; coordinate rotation digital computer (CORDIC); current-mode (CM) control; digital pulsewidth modulation control; field-programmable gate array (FPGA); Frequency modulation; Perturbation methods; phase margin (PM); Process control; quadrature projections; single-tone injection; switched-mode converters; System identification; system identification; Tuning; Voltage control", } @InProceedings{Chen:2024:HCH, author = "Hui Chen and Lianghua Quan and Weiqiang Liu", title = "{HGH-CORDIC}: a {High-Radix Generalized Hyperbolic COordinate Rotation Digital Computer}", crossref = "IEEE:2024:PIS", pages = "88--95", year = "2024", DOI = "https://doi.org/10.1109/arith61463.2024.00024", bibdate = "Thu Nov 13 11:37:34 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; ARITH 2024; ARITH-31; Convergence; Digital arithmetic; Digital computers; exponential; generalized; Hardware; hardware implementation; High-radix; hyperbolic CORDIC; logarithmic; Software", } @InProceedings{Chong:2024:QRP, author = "Yi Sheng Chong and Hongyu Cao and Wang Ling Goh and Patrick Bore and Yuanzheng Paul Tan and Yung Szen Yap and Rainer Dumke and Vishnu P. Nambiar and Anh Tuan Do", booktitle = "{2024 IEEE International Symposium on Circuits and Systems (ISCAS)}", title = "Quantum Readout Processing Accelerator with a {CORDIC} Core at Cryogenic Temperature", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2024", DOI = "https://doi.org/10.1109/ISCAS58744.2024.10558257", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Costs; Digital computers; Energy consumption; Frequency synthesizers; Power measurement; Qubit; Temperature distribution", } @Article{Dalloo:2024:LPL, author = "Ayad M. Dalloo and Amjad Jaleel Humaidi and Ammar K. {Al Mhdawi} and Hamed Al-Raweshidy", title = "Low-Power and Low-Latency Hardware Implementation of Approximate Hyperbolic and Exponential Functions for Embedded System Applications", journal = j-IEEE-ACCESS, volume = "12", pages = "24151--24163", year = "2024", DOI = "https://doi.org/10.1109/ACCESS.2024.3364361", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "approximate computing; Approximation algorithms; Approximation methods; Computer architecture; CORDIC; elementary functions; Exponential distribution; exponential function; Field programmable gate arrays; Hyperbolic functions; machine learning; Machine learning; Signal processing algorithms; Source coding; Table lookup; table-driven algorithm; Taylor series", } @Book{deDinechin:2024:ASA, author = "Florent de Dinechin and Martin Kumm", title = "Application-specific Arithmetic: Computing Just Right for the Reconfigurable Computer and the Dark Silicon Era", publisher = pub-SV-CHAM, address = pub-SV-CHAM:adr, pages = "xxiii + 804", year = "2024", DOI = "https://doi.org/10.1007/978-3-031-42808-1", ISBN = "3-031-42807-2, 3-031-42808-0 (e-book), 3-031-42809-9, 3-031-42810-2", ISBN-13 = "978-3-031-42807-4, 978-3-031-42808-1 (e-book), 978-3-031-42809-8, 978-3-031-42810-4", LCCN = "QA76.9.C62 D56 2024", bibdate = "Fri Dec 8 13:09:29 MST 2023", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://perso.citi-lab.fr/fdedinec/ASA-book/errata.pdf; https://link.springer.com/book/10.1007/978-3-031-42808-1", abstract = "Written by two experts of the domain, this book presents the most recent advances in computer arithmetic hardware, with a focus on application-specific arithmetic beyond the classic operators and the standard precisions. It targets silicon designers who have to do better with less in the post-Moore era, and FPGA developers who want to exploit the full possibilities of reconfigurable computing platforms. Presents a unique focus on application-specific computer arithmetic; Helps developers gain a deep understanding of the arithmetic in their projects, and tailor it to their application; Illustrates concepts and architectures by actual implementations, using the FloPoCo open-source hardware generator.", acknowledgement = ack-nhfb, tableofcontents = "1: Introduction \\ 2: Number Formats \\ 3: Computing Just Right: Accuracy Specification and Error Analysis \\ 4: Field Programmable Gate Arrays \\ \\ Part 1 Revisiting Classic Arithmetic \\ 5: Fixed-Point Addition \\ 6: Fixed-Point Comparison \\ 7: Sums of Weighted Bits \\ 8: Fixed-Point Multiplication \\ 9: Fixed-Point Division \\ 10: Shifters and Leading Bit Counters \\ 11: Basic Floating-Point Operators \\ \\ Part 2 Operator Specialization \\ 12: Multiplication by Constants \\ 13: Division by Constants \\ 14: Fixed-Point Squares, Cubes, and Other Integer Powers \\ 15: Specialization and Fusion of Floating-Point Operators \\ \\ Part 3 Generic Methods for Fixed-Point Function Approximation \\ 16: Generalities on Fixed-Point Function Approximation \\ 17: Function Evaluation Using Tables and Additions \\ 18: Polynomial-Based Architectures for Function Evaluation \\ 19: Digit Recurrence for Algebraic Functions \\ \\ Part 4 Example Composite Operators \\ 20: Fixed-Point Sine and Cosine \\ 21: Floating-Point Accumulation and Sum-of-Products \\ 22: Floating-Point Exponential \\ \\ Part 5 Application Domains \\ 23: Arithmetic in The Design of Linear Time-Invariant Filters \\ 24: Arithmetic for Deep Learning \\ \\ Part 6 Appendix \\ 25: Appendix A: Custom Arithmetic Datapath Design with FloPoCo \\ 26: Appendix B: Optimization Using Integer Linear Programming", } @InProceedings{Deng:2024:EFB, author = "Jiawen Deng and Jie Yang and Xin'an Wang", booktitle = "{2024 IEEE 7th Information Technology, Networking, Electronic and Automation Control Conference (ITNEC)}", title = "An Efficient {FP16}-based Hardware Architecture with Enhanced {CORDIC} to Implement Sigmoid and Tanh Functions", volume = "7", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1633--1636", year = "2024", DOI = "https://doi.org/10.1109/ITNEC60942.2024.10733095", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CMOS technology; Computational modeling; Computer architecture; Convolutional neural networks; Efficient Hardware; FP16; Hardware; hyperbolic and linear CORDIC; Linear accelerators; Neural networks; Power demand; Semiconductor device modeling; Sigmoid and Tanh; System-on-chip", } @InProceedings{Dora:2024:HIO, author = "Sai Kumar Dora and Himanshu B. Mishra and Manodipan Sahoo and Kapil Yadav", booktitle = "{2024 International Conference on Signal Processing and Communications (SPCOM)}", title = "Hardware Implementation of {OTFS} Modulation Using {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2024", DOI = "https://doi.org/10.1109/SPCOM60851.2024.10631593", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Hardware; Signal processing algorithms; Timing; Transceivers; Transforms; Transmitters; Wireless communication", } @InCollection{Elrefai:2024:CML, author = "Hisham M. Elrefai and Sara S. Abou Zeid and Wafaa S. Sayed and Lobna A. Said and Ahmed G. Radwan", booktitle = "Advances in Nonlinear Dynamics, Volume {III}", title = "Compact Multiplier-less {CORDIC}-Based {FPGA} Implementation of Sine and Modified Sine Chaotic Maps", publisher = pub-SV-CHAM, address = pub-SV-CHAM:adr, pages = "153--161", year = "2024", DOI = "https://doi.org/10.1007/978-3-031-50635-2_15", ISBN = "3-031-50634-0; 3-031-50635-9", ISBN-13 = "978-3-031-50634-5; 978-3-031-50635-2", ISSN = "2730-7697", MRnumber = "4769607", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", series = "NODYCON Conference Proceedings Series", acknowledgement = ack-nhfb, } @InProceedings{Feng:2024:DIH, author = "Zhenfu Feng and Hao Chang and Huan Zhang and Ang Li and Lidong Xing", booktitle = "{2024 6th International Conference on Frontier Technologies of Information and Computer (ICFTIC)}", title = "Design and Implementation of High-speed and High-precision {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1050--1056", year = "2024", DOI = "https://doi.org/10.1109/ICFTIC64248.2024.10912937", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Arithmetic; coordinate rotation digital computer algorithms; Delays; Digital computers; Field programmable gate arrays; field-programmable gate arrays; greedy algorithms; Greedy algorithms; MATLAB; Real-time systems; Registers; Signal processing algorithms; trigonometric functions", } @Article{Ghanbarpour:2024:CAM, author = "Gilda Ghanbarpour and Milad Ghanbarpour and Pourya Spari", title = "Creative and accurate method for optimal hardware implementation of neurons and biological cells: Application in {FPGA}-based implementation of cardiac pacemaker cell", journal = "AEU - International Journal of Electronics and Communications", volume = "187", pages = "155561", year = "2024", DOI = "https://doi.org/10.1016/j.aeue.2024.155561", ISSN = "1434-8411", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1434841124004473", acknowledgement = ack-nhfb, keywords = "Digital implementation; FPGA; Heart pace maker; Sinoatrial node; Yanagihara--Noma--Irisawa (YNI) model", } @InProceedings{Ghosh:2024:DDL, author = "Diptasri Ghosh and Debasish Chatterjee and Debeshi Dutta and Somsukla Maiti and Amit Acharyya and Soumen Sen", booktitle = "{2024 31st IEEE International Conference on Electronics, Circuits and Systems (ICECS)}", title = "Design and Development of Low-Complex Methodology for {sEMG}-based Hand Activity Identification and Actuation of Soft Robots for Rehabilitating and Amputated Patients", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2024", DOI = "https://doi.org/10.1109/ICECS61496.2024.10848986", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Activity classification; CORDIC; Electromyography; Energy efficiency; Hands; Low-complex classification; Motion control; Pneumatic systems; Prosthetics; Real-time systems; Rehabilitation; Robot sensing systems; sEMG; Soft actuators; Soft robotics; System-on-chip; System-on-Chip implementation", } @InProceedings{Ghosh:2024:SCB, author = "Amitava Ghosh and Anindya.S. Dhar and Indrajit Chakrabarti", booktitle = "{2024 IEEE Calcutta Conference (CALCON)}", title = "A Single {CORDIC} Based Architecture for Real-time Tomographic Image Reconstruction for Industrial Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2024", DOI = "https://doi.org/10.1109/CALCON63337.2024.10914154", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Architecture; Computed tomography; Computer architecture; CORDIC block; Degradation; Delays; Fast Fourier transform; Fast Fourier transforms; Hankel transform; Image reconstruction; Real-time signal processing; Real-time systems; Signal processing algorithms; Signal to noise ratio; Transforms", } @InProceedings{Guo:2024:LLH, author = "Jiatong Guo and Jinxiang Gao and Zixuan Shen and Jipeng Wang and Zhuo Cheng and Jingru Jiang and Wenjue Chen and Chao Wang", booktitle = "{TENCON 2024 --- 2024 IEEE Region 10 Conference (TENCON)}", title = "A Low-Latency and High-Accuracy Dual-Mode Neuron Design for Accelerating Neurological Diseases Simulation and Analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "374--377", year = "2024", DOI = "https://doi.org/10.1109/TENCON61640.2024.10902968", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adaptive Exponential Neuron; Computational efficiency; Computational modeling; Dynamic scheduling; Fast-Convergence CORDIC; Hardware; Hodgkin-Huxley Neuron; Low latency communication; Neurological diseases; Neuromorphic Hardware; Neurons; Pipelines; Reconfigurable Spiking Neuron; Resource management", } @Article{Haghiri:2024:MIF, author = "Saeed Haghiri and Salah I. Yahya and Abbas Rezaei and Arash Ahmadi", title = "Multiplierless Implementation of {Fitz-Hugh Nagumo (FHN)} Modeling Using {CORDIC} Approach", journal = "IEEE Transactions on Emerging Topics in Computational Intelligence", volume = "8", number = "1", pages = "279--287", year = "2024", DOI = "https://doi.org/10.1109/TETCI.2023.3300176", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Behavioral sciences; Brain modeling; CNS; Computational modeling; FHN; Field programmable gate arrays; FPGA; Hardware; Mathematical models; Neuron; Neurons", } @Article{Han:2024:HAD, author = "Dongjun Han and Ming Xu and Yuhang Wu and Fuhui Zhou", title = "A Hardware Architecture Design for High-Speed Vessel Orientation Recognition", journal = j-IEEE-ACCESS, volume = "12", pages = "155287--155294", year = "2024", DOI = "https://doi.org/10.1109/ACCESS.2024.3476482", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Accuracy; Approximation algorithms; Biomedical monitoring; Circulatory system; Computer architecture; Feature extraction; Field programmable gate arrays; Hardware; Image analysis; Image edge detection; improved CORDIC algorithm; Medical image processing; Optimization; Real-time systems; vascular orientation recognition", } @Article{Hingu:2024:BFF, author = "Chanakya Hingu and Xingang Fu and Praneeth Vangala and Ramkrishna Mishan and Poria Fajri", title = "32-Bit Fixed and Floating-Point Hardware Implementation for Enhanced Inverter Control: Leveraging {FPGA} in Recurrent Neural Network Applications", journal = j-IEEE-ACCESS, volume = "12", pages = "111097--111110", year = "2024", DOI = "https://doi.org/10.1109/ACCESS.2024.3441512", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Tue Sep 30 17:30:28 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "32-bit fix and floating point implementation; Artificial neural networks; CORDIC; Field programmable gate arrays; FPGA; Hardware; hardware implementation; Inverters; LUT; Matlab; Neural network controller; Neural networks; Recurrent neural networks; Tanh function", } @InProceedings{K:2024:FPC, author = "Padmakumar K and Lalu V and Shiny G", booktitle = "{2024 International Conference on Advancements in Power, Communication and Intelligent Systems (APCI)}", title = "Floating-point {CORDIC} Coprocessor with Dynamic Iterations", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2024", DOI = "https://doi.org/10.1109/APCI61480.2024.10616948", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Dynamic iteration; Ecosystems; floating-point; Hardware; Heuristic algorithms; Process control; Software algorithms; Taylor series; VHDL", } @InProceedings{Karrenbauer:2024:EHA, author = "Jens Karrenbauer and Sven Sch{\"o}newald and Simon Klein and Holger Blume", booktitle = "{2024 IEEE 35th International Conference on Application-specific Systems, Architectures and Processors (ASAP)}", title = "Enhancing a Hearing Aid Processor with {ISA} Extensions Supporting Flexible Fixed-Point Formats", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "176--183", year = "2024", DOI = "https://doi.org/10.1109/ASAP61560.2024.00044", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Auditory system; CMAC; CORDIC; fixed-point arithmetic; Hardware; Hearing aids; ISA extension; MATLAB; Program processors; Silicon-on-insulator; SmartHeaP; Systems architecture; Tensilica; Time-frequency analysis", } @InProceedings{Luo:2024:OLE, author = "Zhibin Luo and Junyi Mai and Enyi Yao", booktitle = "{2024 IEEE 6th International Conference on AI Circuits and Systems (AICAS)}", title = "{OTFC-LSTM}: an Efficient Design of {LSTM} Accelerator based on On-The-Fly {CORDIC}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "372--376", year = "2024", DOI = "https://doi.org/10.1109/AICAS59952.2024.10595924", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Computer architecture; CORDIC; Hardware; hardware accelerator; LSTM; Natural language processing; nonlinear activation function; Resource management; Throughput; Time series analysis", } @InProceedings{McGuinness-Rodriguez:2024:REF, author = "Cristopher McGuinness-Rodriguez and Johan Arbustini and Pablo Mendoza-Ponce and Eric Elzenheimer and Andrey Morales-Zamora and Michael H{\"o}ft and Robert Rieger and Andreas Bahr", booktitle = "{2024 IEEE 42nd Central America and Panama Convention (CONCAPAN XLII)}", title = "Resource-Efficient {FPGA}-based {I/Q}-Demodulator Detects 0.0005 Modulation Index with {9.5 dB} {SNR} for Converse {ME} Sensors", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2024", DOI = "https://doi.org/10.1109/CONCAPAN63470.2024.10933859", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Amplitude Modulation (AM); CIC (Cascaded-Integrator-Comb-Filter) Filter; CORDIC; Demodulation; Finite impulse response filters; FIR Filter; FPGA; In-Phase and Quadrature (I/Q); Low-pass filters; Magnetic resonance; Magnetic sensors; Magnetic separation; Magnetostriction; Medical Real-Time Signal Processing; Numerically Controlled Oscillator (NCO); Oscillators; Real-time systems; Signal processing algorithms; Signal to noise ratio", } @InProceedings{Moses:2024:FPP, author = "Yashwant Moses and Madhav Rao", booktitle = "{2024 29th Asia and South Pacific Design Automation Conference (ASP-DAC)}", title = "A Fixed-Point Pre-Processing Hardware Architecture Design for Complex Independent Component Analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "244--249", year = "2024", DOI = "https://doi.org/10.1109/ASP-DAC58780.2024.10473838", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Blind Source Separation; Complex Independent Component Analysis (c-ICA); Computer architecture; CORDIC; Independent component analysis; Magnetic resonance imaging; Pipelined Preprocessing Accelerator; Radar signal processing; Real-time systems; Signal processing algorithms; Throughput", } @InProceedings{Mule:2024:SFI, author = "Priya Mule and Sudhakar Mande", booktitle = "{2024 15th International Conference on Computing Communication and Networking Technologies (ICCCNT)}", title = "12-stage {FFT} Implementation using {CORDIC}-based pipelined {SDF} Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2024", DOI = "https://doi.org/10.1109/ICCCNT61001.2024.10726055", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; Cordic; Data transfer; Field programmable gate arrays; FPGA; Hardware; Iterative methods; latency; Logic; Low latency communication; operating frequency; Pipeline processing; Read only memory; SDF; Throughput; throughput", } @InProceedings{Na:2024:DSC, author = "Jiesi Na", booktitle = "{2024 5th International Conference on Artificial Intelligence and Computer Engineering (ICAICE)}", title = "Design of {SPWM} Controller Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1029--1032", year = "2024", DOI = "https://doi.org/10.1109/ICAICE63571.2024.10863964", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Artificial intelligence; CORDIC; Design methodology; Field programmable gate arrays; FPGA; Frequency control; Intellectual property; Pulse width modulation; Quantization (signal); Sampling methods; SPWM", } @Article{Ortega:2024:EES, author = "Eduardo Ortega and Alejandro Vicente and Agust{\'\i}n Mart{\'\i}nez and {\'O}scar Rodr{\'\i}guez and Manuel Prieto and Pablo Parra and Antonio {Da Silva} and Sebasti{\'a}n S{\'a}nchez", title = "Enhancing efficiency in spaceborne phased array systems: {MVDR} algorithm and {FPGA} integration", journal = j-DIGIT-SIGNAL-PROCESS, volume = "155", pages = "104732", year = "2024", CODEN = "DSPREJ", DOI = "https://doi.org/10.1016/j.dsp.2024.104732", ISSN = "1051-2004 (print), 1095-4333 (electronic)", ISSN-L = "1051-2004", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1051200424003579", acknowledgement = ack-nhfb, fjournal = "Digital Signal Processing", journal-URL = "https://www.sciencedirect.com/journal/digital-signal-processing", keywords = "Digital beamforming; FPGA; MVDR", } @InProceedings{P:2024:ADN, author = "Arjun P and Shanmugha Sundaram GA", booktitle = "{2024 IEEE International Conference on Intelligent Signal Processing and Effective Communication Technologies (INSPECT)}", title = "Advanced Design of Numerical Control Oscillators with Enhanced {CORDIC} Pipelining", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--7", year = "2024", DOI = "https://doi.org/10.1109/INSPECT63485.2024.10896247", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Array signal processing; Beam formation; CORDIC; Digital communication; NCO; Oscillators; Phase locked loops; Pipeline processing; Power; Reliability; Resource management; Resource utilization; Signal processing algorithms; Stability analysis; System performance", } @InProceedings{Palchaudhuri:2024:FSS, author = "Ayan Palchaudhuri and Anindya Sundar Dhar", booktitle = "{2024 37th International Conference on VLSI Design and 2024 23rd International Conference on Embedded Systems (VLSID)}", title = "{FPGA} Specific Speed-Area Optimized Architectures of Arithmetic Cores with Scan Insertion for Carry Chain Based Multi-level Logic Implementation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "617--622", year = "2024", DOI = "https://doi.org/10.1109/VLSID60093.2024.00109", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "absolute difference; carry chain; CORDIC; Finite element analysis; FPGA; Look-Up Table; Minimization; Philosophical considerations; Registers; Scalability; scan register; Table lookup; ternary accumulator; Very large scale integration", } @InProceedings{Park:2024:IAF, author = "Jiho Park and Geon Shin and Hoyoung Yoo", booktitle = "{2024 21st International SoC Design Conference (ISOCC)}", title = "Implementation of Activation Functions using various approximation methods", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "175--176", year = "2024", DOI = "https://doi.org/10.1109/ISOCC62682.2024.10762658", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Activation function; Artificial neural networks; CORDIC; Deep neural network; Function approximation; Hardware; Look-UpTable; Taylor series", } @InProceedings{Parmar:2024:SCR, author = "Yashrajsinh Parmar and Florian Caullery and Sonali Kale", booktitle = "{2024 1st International Conference On Cryptography And Information Security (VCRIS)}", title = "Secure Coordinate Rotation in Embedded Systems Using Homomorphic Encryption: Implementation and Evaluation on the {AI-Saqr} Platform", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2024", DOI = "https://doi.org/10.1109/VCRIS63677.2024.10813447", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/risc-v.bib", acknowledgement = ack-nhfb, keywords = "Computational efficiency; CORDIC algorithm; Cryptography; Digital computers; Embedded systems; embedded systems; Homomorphic encryption; Information security; Real-time systems; RISC-V; secure computation; System-on-chip; unmanned aerial systems; Vectors", } @Article{Poczekajlo:2024:ICA, author = "Pawe{\l} Poczekaj{\l}o", title = "Iterative computing algorithms implemented in {FPGA} using {ALTERA\_CORDIC} library as an example", journal = "Procedia Computer Science", volume = "246", pages = "2380--2389", year = "2024", DOI = "https://doi.org/10.1016/j.procs.2024.09.533", ISSN = "1877-0509", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", note = "28th International Conference on Knowledge Based and Intelligent information and Engineering Systems (KES 2024)", URL = "https://www.sciencedirect.com/science/article/pii/S187705092402578X", acknowledgement = ack-nhfb, keywords = "Altera; computing algorithms; CORDIC; engineering computing; finite precision; FPGA; frequency; implementation; iterative algorithms; library; occupation; pipelined algorithms", } @InProceedings{Poczekajlo:2024:MCA, author = "Pawel Poczekajlo and Leonid Moroz and Ewa Deelman and Pawel Gepner", booktitle = "Computational science---{ICCS} 2024. {Part} {VI}", title = "Modified {CORDIC} Algorithm for {Givens} Rotator", volume = "14837", publisher = pub-SV-CHAM, address = pub-SV-CHAM:adr, pages = "101--114", year = "2024", DOI = "https://doi.org/10.1007/978-3-031-63778-0_8", ISBN = "3-031-63777-1; 3-031-63778-X", ISBN-13 = "978-3-031-63777-3; 978-3-031-63778-0", ISSN = "1611-3349", MRclass = "99-06", MRnumber = "4789808", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", series = ser-LNCS, acknowledgement = ack-nhfb, } @InProceedings{Raut:2024:SDF, author = "Gopal Raut and Pranose J. Edavoor and David Selvakumar and Ritambhara Thakur", booktitle = "{2024 25th International Symposium on Quality Electronic Design (ISQED)}", title = "A {SIMD} Dynamic Fixed Point Processing Engine for {DNN} Accelerators", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--8", year = "2024", DOI = "https://doi.org/10.1109/ISQED60706.2024.10528758", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "AF; Artificial neural networks; Convolution; Cordic; DNN; dynamic fraction fixed-point; Dynamic scheduling; Electron accelerators; Hardware; MAC; multi-precision; SIMD; Switches; Throughput", } @InProceedings{Rayapati:2024:EEB, author = "Vinay Rayapati and Sanampudi GopalaKrishna Reddy and Gandi Ajay Kumar and Gogireddy Ravikiran Reddy and Madhav Rao", booktitle = "{2024 37th International Conference on VLSI Design and 2024 23rd International Conference on Embedded Systems (VLSID)}", title = "{EBACA}: Efficient {Bfloat16}-based Activation Function Implementation Using Enhanced {CORDIC} Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "605--610", year = "2024", DOI = "https://doi.org/10.1109/VLSID60093.2024.00107", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "BFloat16; CNN; CORDIC; Embedded systems; Hardware; Inference algorithms; Libraries; Low Power; Neural networks; Performance evaluation; Sigmoid; Softmax; Tanh; Very large scale integration", } @InProceedings{Sheng:2024:EEH, author = "Shirui Sheng and Kwen-Siong Chong and Jun-Sheng Ng and Zhiping Lin and Joseph S. Chang and Bah-Hwee Gwee", booktitle = "{2024 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS)}", title = "An Energy-Efficient and High-Accuracy Spiking Neural Network Utilizing Asynchronous {CORDIC} for {On-FPGA} {STDP} Learning", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "571--575", year = "2024", DOI = "https://doi.org/10.1109/APCCAS62602.2024.10808853", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Asynchronous; CORDIC; dual-rail; Energy efficiency; FPGA; Hardware; Iterative methods; Logic; neuromorphic hardware; Neurons; online learning; Pipelines; Power dissipation; spiking neural network; Spiking neural networks; Switches", } @InProceedings{Singh:2024:EEL, author = "Gian Singh and Ayushi Dube and Sarma Vrudhula", booktitle = "{2024 IEEE Computer Society Annual Symposium on VLSI (ISVLSI)}", title = "Energy-Efficient and Low-Latency Computation of Transcendental Functions in a Precision-Tunable {PIM} Architecture", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "186--191", year = "2024", DOI = "https://doi.org/10.1109/ISVLSI61997.2024.00043", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Computer architecture; CORDIC; DFT; Discrete Fourier transforms; DRAM; Energy Efficiency; Energy efficiency; Memory Wall; Processing-in-Memory; Random access memory; Simulation; Throughput; Transcendental Functions; Very large scale integration", } @InProceedings{Singh:2024:FBS, author = "Suryadev Singh and Babita Jajodia", booktitle = "{2024 International Conference on IoT, Communication and Automation Technology (ICICAT)}", title = "{FPGA}-based {SoC} Design with {CORDIC-POSIT} Arithmetic for Efficient {IoT} Data Processing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1534--1539", year = "2024", DOI = "https://doi.org/10.1109/ICICAT62666.2024.10923249", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Arithmetic; Coordinate Rotation Digital Computer (CORDIC); Data processing; Field programmable gate arrays; Field Programmable Gate-Array (FPGA); Internet of Things; Internet of Things (IoT); Positive Integer and Signed Integer Ternary (POSIT); Real-time systems; sensor data management; Soil measurements; Soil moisture; System on Chip (SoC); System-on-chip; Table lookup; XADC", } @InProceedings{Wong:2024:HGT, author = "Paul Wong and Dania Susanne Mosuli and Xuechen Zhang and Xiaokun Yang", booktitle = "{2024 IEEE International Conference on Big Data (BigData)}", title = "Hardware Generation on Trigonometric Functions", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "7571--7576", year = "2024", DOI = "https://doi.org/10.1109/BigData62323.2024.10825243", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Chisel; Codes; Computer architecture; CORDIC; floating-point; FPGA; Generators; Hardware; Hardware acceleration; Hardware design languages; Pipelines; Registers; Resource management; Scientific computing; trigonometry", } @Article{Wu:2024:GMR, author = "Ruiqi Wu and Xinyu Wang and Jie Li and Lili Cao and Guoqiang He and Yuxiang Fu and Li Li", title = "A General Methodology and Reconfigurable Architecture for Calculating {AB}-Like Functions in the Complex Field", journal = j-IEEE-TRANS-CIRCUITS-SYST-II-EXPRESS-BRIEFS, volume = "71", number = "11", pages = "4758--4762", year = "2024", DOI = "https://doi.org/10.1109/TCSII.2023.3342814", ISSN = "1549-7747 (print), 1558-3791 (electronic)", ISSN-L = "1549-7747", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems II: Express Briefs", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=8920", keywords = "AB-like functions; CMOS technology; complex field; Complexity theory; Computational modeling; Computer architecture; CORDIC; Floating point; Hardware; Matlab; parabolic synthesis; reconfigurable; Three-dimensional displays", } @InProceedings{Xie:2024:CCP, author = "Minghui Xie and Ningmei Yu and Dian Tian and Jing Zhang and {\'A}lvaro Hern{\'a}ndez and Jes{\'u}s Ure{\~n}a", booktitle = "{2024 9th International Conference on Integrated Circuits and Microsystems (ICICM)}", title = "A Configurable {CORDIC} and {PSADIC} Fusion Architecture for Nonlinear Edge-Computing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "665--670", year = "2024", DOI = "https://doi.org/10.1109/ICICM63644.2024.10814567", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Clocks; Computational modeling; Computer architecture; Config-urable computation; CORDIC; Digital computers; Edge computing; Hardware; Integrated circuits; Micromechanical devices; PSADIC; Software", } @Article{Zhang:2024:APV, author = "Haoran Zhang and Minqi Chen and Shuqin Wan and Zihao Jiao and Shenglin Hu and Peng Song", title = "An Arbitrary-Phase-Varying Digital Chirp Signal Generator Based on Improved {CORDIC} Algorithm and Trajectory Approximator", journal = j-IEEE-ACCESS, volume = "12", pages = "135362--135371", year = "2024", DOI = "https://doi.org/10.1109/ACCESS.2024.3456554", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Approximation algorithms; Chirp; discrete-time PID controller; Field programmable gate arrays; finite state machine (FSM); FPGA; Logic; neural network; Radar antennas; Scaling-free coordinate rotation digital computer (CORDIC) algorithm; Table lookup; Trajectory", } @Article{A:2025:DAR, author = "Anjana A and Nakkeeran R and Ramya Jothikumar R", title = "Design and Analysis of {RMFAS CORDIC II} Rotator for {FPGA}", journal = "IETE Journal of Research", pages = "1--11", month = apr, year = "2025", DOI = "https://doi.org/10.1080/03772063.2025.2486582", ISSN = "0974-780X", bibdate = "Tue Nov 11 14:27:07 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Abdkrimi:2025:OFI, author = "Mounir Abdkrimi and Olivier Rossetto and Olivier Bourrion and Christophe Vescovi and Christophe Hoarau", booktitle = "{2025 14th Mediterranean Conference on Embedded Computing (MECO)}", title = "Optimized {FPGA} Implementation of the {CORDIC} Algorithm for a Frequency Multiplexed Readout", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2025", DOI = "https://doi.org/10.1109/MECO66322.2025.11049302", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CORDIC; Field programmable gate arrays; FPGA; Frequency division multiplexing; Frequency Multiplexing; Instruments; Microprogramming; MKIDs; Next generation networking; Optimization; Readout Electronics; Readout electronics; Resource management; Scalability; Table lookup", } @InProceedings{Arul:2025:MBA, author = "Sanjai Arul and Tharani Kumar and Yu Ting Tung and Juinn-Horng Deng", booktitle = "{2025 1st International Conference on Radio Frequency Communication and Networks (RFCoN)}", title = "Model-based Adjustable Carrier Frequency Offset Generator Design for {mmWave} Array Communication System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/RFCoN62306.2025.11085193", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Antenna arrays; CORDIC Algorithm; FPGA Implementation; Generators; Hardware; Horn antennas; Millimeter wave communication; mmWave Communication; Radio frequency; Read only memory; RF Loopback Testing; Testing; Transmitting antennas; Tuning", } @Article{Bai:2025:LIH, author = "Na Bai and Ruizheng Qu and Yaohua Xu and Yi Wang and Xiaojie Chen and Li Li", title = "Low-iteration hybrid computing {CORDIC} architecture", journal = j-MICROELECT-J, volume = "156", pages = "106481", year = "2025", CODEN = "MICEB9", DOI = "https://doi.org/10.1016/j.mejo.2024.106481", ISSN = "1879-2391", ISSN-L = "0026-2692", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1879239124001851", acknowledgement = ack-nhfb, fjournal = "Microelectronics Journal", journal-URL = "http://www.sciencedirect.com/science/journal/00262692", keywords = "Faster computation; Hybrid {CORDIC} algorithm; Low hardware complexity; Low iteration; Rotation mode", } @InProceedings{Blanchard:2025:FII, author = "Philippe Blanchard and Manouane Caza-Szoka and Roger Bergeron and Daniel Massicotte", booktitle = "{2025 IEEE International Instrumentation and Measurement Technology Conference (I2MTC)}", title = "{FPGA} Implementation of {IEC 61000-4-30} Quasi-Peak meter with {CORDIC} Algorithm", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/I2MTC62753.2025.11079186", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "CISPR; Computational efficiency; CORDIC; EMC; Field programmable gate arrays; FPGA; IEC; IEC Standards; Pipelines; Power quality; Quasi-peak; Real-time systems; Scalability; Standards; Throughput; Vectors", } @InProceedings{Bouarah:2025:HFP, author = "Romain Bouarah and Florent {De Dinechin}", booktitle = "{2025 IEEE 32nd Symposium on Computer Arithmetic (ARITH)}", title = "Hardware Fixed-Point {2D} and {3D} norms", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "29--36", year = "2025", DOI = "https://doi.org/10.1109/ARITH64983.2025.00015", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adders; Computer architecture; Computer arithmetic; CORDIC; Delays; Digital arithmetic; Euclidean norm; Field programmable gate arrays; fixed point; Hardware; hardware operator; Three-dimensional displays", } @Article{Chen:2025:HPL, author = "Hui Chen and Lianghua Quan and Weiqiang Liu and Zhonghai Lu", title = "High-Precision Low-Latency Method and Architecture for Computing Binary and Decimal Logarithms", journal = j-IEEE-TRANS-VLSI-SYST, pages = "1--5", year = "2025", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2025.3590597", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Accuracy; Binary logarithm; Computer architecture; Convergence; decimal logarithm; Digital computers; generalized hyperbolic coordinate rotation digital computer (GH-CORDIC); Hardware; high precision; low latency; Low latency communication; Mathematical models; radix-4; Table lookup; Vectors; Very large scale integration", } @Article{Chen:2025:HRG, author = "Hui Chen and Lianghua Quan and Ke Chen and Weiqiang Liu", title = "High-Radix Generalized Hyperbolic {CORDIC} and Its Hardware Implementation", journal = j-IEEE-TRANS-COMPUT, volume = "74", number = "3", pages = "983--995", month = mar, year = "2025", CODEN = "ITCOB4", DOI = "https://doi.org/10.1109/TC.2024.3512183", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput2020.bib", acknowledgement = ack-nhfb, ajournal = "IEEE Trans. Comput.", fjournal = "IEEE Transactions on Computers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12", keywords = "Accuracy; Computer architecture; Computers; Convergence; exponential; generalized; Hardware; hardware implementation; High-radix; hyperbolic CORDIC; logarithmic; Mathematical models; Real-time systems; Software; Software algorithms; Vectors", } @Article{Chen:2025:IIE, author = "Ru Chen and Songjie Xiang and Die Yu and Meixuan Li and Mohammad Sh. Daoud and Minmin Shao and Abdulilah Mohammad Mayet and Yisu Ge and Guodao Zhang and Yanling Chu and Yideng Huang", title = "An investigation on inner ear operation in sense of hearing: High-speed {FPGA}-based circuits for digital realization of {2D} cochlea modeling", journal = "Alexandria Engineering Journal", volume = "118", pages = "371--383", year = "2025", DOI = "https://doi.org/10.1016/j.aej.2025.01.054", ISSN = "1110-0168", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1110016825000821", acknowledgement = ack-nhfb, keywords = "Artificial cochlea; Auditory system; Bio-inspired AI; FPGA; Inner ear; Optimized approach", } @InProceedings{D:2025:FIC, author = "Girijamba D L and Amrutha Mahendrakar and Anagha and Annapurna and Eunice Paulina", booktitle = "{2025 3rd International Conference on Inventive Computing and Informatics (ICICI)}", title = "{FPGA} Implementation of the {CORDIC} Algorithm for Sinusoidal Waveform Generation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1402--1407", year = "2025", DOI = "https://doi.org/10.1109/ICICI65870.2025.11069963", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; CORDIC Algorithm; Digital signal processing; digital signal processing; Direct Digital Synthesis; Field programmable gate arrays; FPGA; Memory management; parallel processing; phase-to-amplitude conversion; Real-time systems; realtime systems; Scalability; Signal processing algorithms; Signal resolution; Synthesizers; Telecommunications; waveform generation", } @InProceedings{Elrefai:2025:IRC, author = "Hisham M. Elrefai and Wafaa S. Sayed and Ahmed G. Radwan and Lobna A. Said", booktitle = "{2025 21st International Conference on Synthesis, Modeling, Analysis and Simulation Methods, and Applications to Circuits Design (SMACD)}", title = "Investigation of Reconfigurable {CORDIC} Modes and Efficiency", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--4", year = "2025", DOI = "https://doi.org/10.1109/SMACD65553.2025.11092140", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/matlab.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Approximation algorithms; CORDIC; Field programmable gate arrays; FPGA; Hardware; Integrated circuit modeling; Interpolation; MATLAB; Performance metrics; Polynomials; Reconfigurable; Resource management; Transcendental", } @Article{Garrido:2025:UDC, author = "Mario Garrido and Daniel Medina and Pedro Paz and Marisa L{\'o}pez-Vallejo", title = "Uniformly Distributed {CORDIC}", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "72", number = "11", pages = "6948--6961", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3560802", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Adders; canonical signed digit (CSD); Computer architecture; Coordinate rotation digital computer (CORDIC); Costs; digital circuit; Digital computers; Digital systems; Field programmable gate arrays; Hardware; Indexes; micro-rotation; pipelined; Power demand; Silicon; uniformly distributed (UD) angles", } @Article{GarzonGonzalez:2025:FIM, author = "Jeferson Andres {Garzon Gonzalez} and Jose {de Jesus Rangel-Magdaleno} and Jesus Manuel Munoz-Pacheco", title = "{FPGA} Implementation of a Multi-{PRNG} Based on a Multiscroll Chaotic {Hopfield} Neural Network", journal = "IEEE Transactions on Industrial Informatics", volume = "21", number = "4", pages = "3097--3106", year = "2025", DOI = "https://doi.org/10.1109/TII.2024.3523548", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/prng.bib", acknowledgement = ack-nhfb, keywords = "Chaotic communication; chaotic systems; Coordinate rotation digital computer (CORDIC); Field programmable gate arrays; field-programmable gate array (FPGA); Generators; Hardware; Heuristic algorithms; Hopfield; Informatics; memristive; Memristors; multi-pseudo-random number generator (PRNG); multiscroll; neural networks; NIST; Throughput; Trajectory", } @InProceedings{Joseph:2025:FPC, author = "Nimmy Joseph and Joji Daniel and Padmakumar K and Jayalekshmi L", booktitle = "{2025 6th International Conference on Control, Communication and Computing (ICCC)}", title = "Floating-Point {CORDIC} Processor in Hyperbolic Coordinate System", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/ICCC64910.2025.11077237", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Cordic; FPU; Hardware; ISA; Process control; Processor; Vectors", } @InProceedings{Khan:2025:DIF, author = "Gani Nawaz Khan and Mujeev Khan and Mohammed Usman and Abhishek Srivastava and Mohd Wajid", booktitle = "{2025 7th International Conference on Signal Processing, Computing and Control (ISPCC)}", title = "Design and Implementation of {FPGA}-based System for Angle Estimation Using {FMCW} Radar", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "824--829", year = "2025", DOI = "https://doi.org/10.1109/ISPCC66872.2025.11039600", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; AoA; CORDIC; Estimation; Fast Fourier transforms; FFT; Field programmable gate arrays; FMCW Radar; FPGA; Hardware; MIMO; Object detection; Radar antennas; Radar signal processing; Radar tracking; Real-time systems", } @Article{Khurshid:2025:HPC, author = "Burhan Khurshid", title = "High-performance {CORDIC}-based approximate {MAC} architectures for {FPGA} platforms", journal = j-INTEGRATION-VLSI-J, volume = "101", pages = "102338", year = "2025", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/j.vlsi.2024.102338", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0167926024002025", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Approximate computing; CORDIC; DSP; Fixed-point arithmetic; FPGA; MAC", } @Misc{Kokane:2025:CAY, author = "Omkar Kokane and Adam Teman and Anushka Jha and Guru Prasath SL and Gopal Raut and Mukul Lokhande and S. V. Jaya Chand and Tanushree Dewangan and Santosh Kumar Vishvakarma", title = "{CORDIC} Is All You Need", year = "2025", DOI = "https://doi.org/10.48550/arXiv.2503.11685", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2503.11685", abstract = "Artificial intelligence necessitates adaptable hardware accelerators for efficient high-throughput million operations. We present pipelined architecture with CORDIC block for linear MAC computations and nonlinear iterative Activation Functions (AF) such as tanh, sigmoid, and softmax. This approach focuses on a Reconfigurable Processing Engine (RPE) based systolic array, with 40\% pruning rate, enhanced throughput up to 4.64 $ \times $, and reduction in power and area by 5.02 $ \times $ and 4.06 $ \times $ at CMOS 28 nm, with minor accuracy loss. FPGA implementation achieves a reduction of up to 2.5 $ \times $ resource savings and 3 $ \times $ power compared to prior works. The Systolic CORDIC engine for Reconfigurability and Enhanced throughput (SYCore) deploys an output stationary dataflow with the CAESAR control engine for diverse AI workloads such as Transformers, RNNs/LSTMs, and DNNs for applications like image detection, LLMs, and speech recognition. The energy-efficient and flexible approach extends the enhanced approach for edge AI accelerators supporting emerging workloads.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "2503.11685", primaryclass = "cs.AR", } @Misc{Kokane:2025:RCBa, author = "Omkar Kokane and Gopal Raut and Salim Ullah and Mukul Lokhande and Adam Teman and Akash Kumar and Santosh Kumar Vishvakarma", title = "Retrospective: A {CORDIC} Based Configurable Activation Function for {NN} Applications", year = "2025", DOI = "https://doi.org/10.48550/arXiv.2503.14354", bibdate = "Wed Nov 12 13:02:33 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://arxiv.org/abs/2503.14354", abstract = "A CORDIC-based configuration for the design of Activation Functions (AF) was previously suggested to accelerate ASIC hardware design for resource-constrained systems by providing functional reconfigurability. Since its introduction, this new approach for neural network acceleration has gained widespread popularity, influencing numerous designs for activation functions in both academic and commercial AI processors. In this retrospective analysis, we explore the foundational aspects of this initiative, summarize key developments over recent years, and introduce the DA-VINCI AF tailored for the evolving needs of AI applications. This new generation of dynamically configurable and precision-adjustable activation function cores promise greater adaptability for a range of activation functions in AI workloads, including Swish, SoftMax, SeLU, and GeLU, utilizing the Shift-and-Add CORDIC technique. The previously presented design has been optimized for MAC, Sigmoid, and Tanh functionalities and incorporated into ReLU AFs, culminating in an accumulative NEURIC compute unit. These enhancements position NEURIC as a fundamental component in the resource-efficient vector engine for the realization of AI accelerators that focus on DNNs, RNNs/LSTMs, and Transformers, achieving a quality of results (QoR) of 98.5\%", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "2503.14354", primaryclass = "cs.AR", } @InProceedings{Kokane:2025:RCBb, author = "Omkar Kokane and Gopal Raut and Salim Ullah and Mukul Lokhande and Adam Teman and Akash Kumar and Santosh Kumar Vishvakarma", booktitle = "{2025 IEEE Computer Society Annual Symposium on VLSI (ISVLSI)}", title = "Retrospective: a {CORDIC} Based Configurable Activation Function for {NN} Applications", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/ISVLSI65124.2025.11130218", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Activation Function; AI accelerators; Artificial neural networks; CORDIC; Engines; Hardware; Program processors; Reconfigurable Computing; Transformers; Vectors; Very large scale integration", } @InBook{Kulkarni:2025:CAI, author = "Kaushal Kulkarni and Neha Joshi and Isha Lale and N. G. Nirmal", booktitle = "{ICT}: Applications and Social Interfaces", title = "{CORDIC} Algorithm Implementation Using {FPGA}", publisher = "Springer Nature Singapore", pages = "167--182", year = "2025", DOI = "https://doi.org/10.1007/978-981-96-5751-3_15", ISBN = "981-9657-51-2", ISBN-13 = "978-981-9657-51-3", ISSN = "2367-3389", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @Article{Li:2025:EHA, author = "Wenjie Li and Gang Wang and Dongxu Lyu and Ningyi Xu and Guanghui He", title = "Efficient Hardware Architecture Design for Rotary Position Embedding of Large Language Models", journal = j-IEEE-J-EMERG-SEL-TOP-CIRCUITS-SYST, volume = "15", number = "2", pages = "244--257", year = "2025", DOI = "https://doi.org/10.1109/JETCAS.2025.3556443", ISSN = "2156-3357 (print), 2156-3365 (electronic)", ISSN-L = "2156-3357", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal on Emerging and Selected Topics in Circuits and Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5503868", keywords = "Approximation algorithms; Computer architecture; CORDIC; Costs; Hardware; hardware architecture; Indexes; Large language models; Power demand; quantization; Quantization (signal); rotary position embedding; Training; Vectors", } @InProceedings{Liu:2025:DHP, author = "Yu Liu and Xiaojie Zhang and Zhenfu Feng", booktitle = "{2025 4th International Symposium on Semiconductor and Electronic Technology (ISSET)}", title = "Design Of High Precision Rotary Transformer Decoding System Based On {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "191--194", year = "2025", DOI = "https://doi.org/10.1109/ISSET66828.2025.11184958", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Carrier synchronization; CORDIC; DDS; Decoding; Field programmable gate arrays; Phase measurement; Real-time systems; Rotary transformer; Rotors; Semiconductor device measurement; Signal resolution; Synchronization; Transformers", } @InProceedings{Liu:2025:RDI, author = "Yu Liu and Jiaxing He and Zhenfu Feng", booktitle = "{2025 4th International Symposium on Semiconductor and Electronic Technology (ISSET)}", title = "Realization of Digital Image Rotation Based on {FPGA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "183--186", year = "2025", DOI = "https://doi.org/10.1109/ISSET66828.2025.11184991", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Biomedical imaging; CORDIC; Digital images; Display systems; Field programmable gate arrays; Image Interpolation FPGA; Image processing; Image quality; Image Rotation; Interpolation; Liquid crystal displays; Pipelines; TV", } @Article{Lokhande:2025:FPF, author = "Mukul Lokhande and Gopal Raut and Santosh Kumar Vishvakarma", title = "{Flex-PE}: Flexible and {SIMD} Multiprecision Processing Element for {AI} Workloads", journal = j-IEEE-TRANS-VLSI-SYST, volume = "33", number = "6", pages = "1610--1623", year = "2025", CODEN = "IEVSE9", DOI = "https://doi.org/10.1109/TVLSI.2025.3553069", ISSN = "1063-8210 (print), 1557-9999 (electronic)", ISSN-L = "1063-8210", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Very Large Scale Integration (VLSI) Systems", journal-URL = "https://ieeexplore.ieee.org/xpl/issues?punumber=92", keywords = "Accuracy; Activation functions (AFs); Artificial intelligence; Computational modeling; CORDIC; deep learning accelerators; Hardware; multiprecision systolic arrays; Runtime; Single instruction multiple data; single instruction, multiple data (SIMD) processing elements; Systolic arrays; Throughput; Training; Transformers", } @Article{Meher:2025:EDI, author = "Pramod Kumar Meher and Supriya Aggarwal", title = "Efficient Design and Implementation of Scale-Free {CORDIC} With Mutually Exclusive Micro-Rotations", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "72", number = "5", pages = "2243--2251", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3549974", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Accuracy; Arithmetic circuits; Circuits; Complexity theory; CORDIC; CORDIC algorithm; CORDIC circuit; Hardware; Matrix decomposition; Pipelines; Power demand; Reviews; scale-free CORDIC; sinusoidal function; Taylor series; Vectors", } @Article{Paramasivam:2025:EPN, author = "C. Paramasivam and Sandeep Singh Chauhan and Veerpratap Meena and A. Sreejagathi and B. A. V. N. Hasini and K. L. K. Kishore and T. V. N. G. Vamsikrishna and M. Durga Ananta Sai and Abdessamad Didi", title = "Enhanced Performance of New Scaling-Free {CORDIC} for Memory-Based {Fast Fourier Transform} Architecture", journal = j-IEEE-ACCESS, volume = "13", pages = "19828--19844", year = "2025", DOI = "https://doi.org/10.1109/ACCESS.2025.3530684", ISSN = "2169-3536", ISSN-L = "2169-3536", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Access", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639", keywords = "Approximation algorithms; Computer architecture; Coordinate rotation digital computer (CORDIC); Delays; fast Fourier transform (FFT); Fast Fourier transforms; Memory architecture; memory-based FFT architecture; micro-rotation; Microprocessors; new scaling-free CORIDC; Prediction algorithms; Read only memory; scaling operation; Transforms; Vectors", } @Article{Paul:2025:CFP, author = "Aditi Paul and Shaik Rafi Ahamed and Roy Paily Palathinkal", title = "Continuous Flow 4096-Point {FFT\slash IFFT} Hardware Architecture for {5G} Applications", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, pages = "1--14", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3583920", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "5G mobile communication; canonical signed digit (CSD); Computer architecture; conflict-free memory addressing (CFMA); continuous-flow; CORDIC; Delays; Discrete Fourier transforms; Fast Fourier transform (FFT); Fast Fourier transforms; Hardware; inverse fast Fourier transform (IFFT); Low latency communication; Memory management; radix-16; Real-time systems; Throughput", } @Article{Poczekajlo:2025:ENC, author = "Pawel Poczekajlo and Leonid Moroz and Ewa Deelman and Pawel Gepner", title = "Evaluation of new {CORDIC} algorithms implemented on {FPGA} for the {Givens Rotator}", journal = j-J-COMPUT-SCI, volume = "87", pages = "102567", year = "2025", DOI = "https://doi.org/10.1016/j.jocs.2025.102567", ISSN = "1877-7503 (print), 1877-7511 (electronic)", ISSN-L = "1877-7503", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S1877750325000444", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Science", journal-URL = "https://www.sciencedirect.com/journal/journal-of-computational-science", keywords = "Computer arithmetic; CORDIC; FPGA", } @InBook{Poczekajlo:2025:LLR, author = "Pawel Poczekajlo and Leonid Moroz and Ewa Deelman and Michela Taufer and Pawel Gepner and Jerzy Krawiec", booktitle = "Computational Science -- {ICCS 2025}", title = "Low Latency Recoding {CORDIC} Algorithm for {FPGA} Implementation", publisher = "Springer Nature Switzerland", pages = "75--89", year = "2025", DOI = "https://doi.org/10.1007/978-3-031-97632-2_6", ISBN = "3-031-97632-0", ISBN-13 = "978-3-031-97632-2", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, } @InProceedings{Ramyajothikumar:2025:RHU, author = "Ramyajothikumar and S. Dhivya and S. Kiruthika and A. Harivardani and PS. Hemma", booktitle = "{2025 Devices for Integrated Circuit (DevIC)}", title = "Reduced Hardware Utilization with Enhanced Error Reduction for Arcsine\slash Arccosine Computation using {CORDIC} Algorithm through the Utilization of a Look-Up Table", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "5--9", year = "2025", DOI = "https://doi.org/10.1109/DevIC63749.2025.11012191", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "component; Computational efficiency; formatting; Hardware; insert; Integrated circuits; Iterative methods; Power demand; Real-time systems; Signal processing; Signal processing algorithms; style; styling; Table lookup; Vectors", } @InProceedings{Rao:2025:SPC, author = "Talla Srinivasa Rao and V. Bharathi Devarakonda and Konadababu Amaradi and Bujjibabu Penumutchi and Ch. Srinivasu and K. Babulu", booktitle = "{2025 International Conference on Electronics, Computing, Communication and Control Technology (ICECCC)}", title = "Semi-Pipelined {CORDIC} Framework: {FPGA} and {ASIC} Implementation for Real-Time Applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/ICECCC65144.2025.11064155", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "ASIC; Carry Select Adder (CSLA); Computer architecture; CORDIC; Delays; Field programmable gate arrays; FPGA; Hardware; Logic gates; Power demand; Radar signal processing; Real-time systems; Robot kinematics; Semi-Pipelined CORDIC; Table lookup", } @InProceedings{Sharma:2025:DLL, author = "Prashnat Sharma and Sourav Nath and Koushik Guha and Krishna Lal Baishnab", booktitle = "{2025 Devices for Integrated Circuit (DevIC)}", title = "Design of Low-Latency, Area- and Power-Efficient {CORDIC} Algorithms for Sine\slash Cosine Floating-Point Computation", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "583--588", year = "2025", DOI = "https://doi.org/10.1109/DevIC63749.2025.11012211", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adders; and Logic design; Approximate adder; Approximate computing; Cordic; Digital signal processing; Field programmable gate arrays; Hardware; Low latency communication; Memory management; Optimization; Power demand; Signal processing algorithms; Trigonometric function", } @Article{Shen:2025:ECB, author = "Wan Shen and Junye Jiang and Minghan Li and Shuanglong Liu", title = "Efficient {CORDIC}-based Activation Functions for {RNN} Acceleration on {FPGAs}", journal = "IEEE Transactions on Artificial Intelligence", volume = "6", number = "1", pages = "199--210", year = "2025", DOI = "https://doi.org/10.1109/TAI.2024.3474648", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Activation function; Approximation algorithms; Artificial intelligence; Computer architecture; coordinate rotation digital computer (CORDIC); Digital computers; Field programmable gate arrays; field programmable gate arrays (FPGAs); Hardware; hardware acceleration; Long short term memory; recurrent neural networks (RNNs).; Table lookup; Vectors", } @Article{Verma:2025:LWL, author = "Anu Verma and Bishnu Prasad Das", title = "Light-Weight Low-Latency Reconfigurable {CORDIC} Architecture With a New Non-Power-of-2 Angle Set of Microrotations", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "72", number = "10", pages = "5861--5871", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3546823", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Accuracy; ASIC; Complexity theory; Computer architecture; Convergence; Coordinate rotation digital computer (CORDIC); FPGA; Hardware; Pipelines; reconfigurable CORDIC; Signal processing algorithms; Table lookup; Taylor series; Trajectory", } @InProceedings{Vorontsov:2025:CAM, author = "Konstantin V. Vorontsov and Michael N. Baldaev and Sergey A. Chechenya and Sergey V. Soldatkin and Anton Y. Boev and Anastasia O. Khodakova", booktitle = "{2025 7th International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE)}", title = "A Combined Algorithm for Measuring the Frequency and Bandwidth of a Signal with Increased Accuracy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--5", year = "2025", DOI = "https://doi.org/10.1109/REEPE63962.2025.10970860", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; CORDIC; Current measurement; Digital Signal Processing; Fast Fourier Transform; Field Programmable Gate Array; Field programmable gate arrays; Frequency measurement; Linear Frequency Modulation; Power measurement; Signal processing algorithms; Software algorithms; Time measurement; Time-frequency analysis; Velocity measurement", } @InProceedings{Wen:2025:DRT, author = "Mingrong Wen and Tao Fu and Yinbing An", booktitle = "{2025 7th International Conference on Electronics and Communication, Network and Computer Technology (ECNCT)}", title = "Design of a Real-Time Spectrum Acquisition and Analysis System Based on {10G} Optical {Ethernet}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "145--149", year = "2025", DOI = "https://doi.org/10.1109/ECNCT66493.2025.11172444", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "10G Ethernet; CORDIC; Digital downconversion; EPON; FFT; Field programmable gate arrays; FPGA; High-speed optical techniques; IEEE 802.3 Standard; Loss measurement; Optical design; Optical sensors; Optical signal processing; Real-time spectrum analysis; Real-time systems; Spectral analysis", } @InProceedings{Wu:2025:NFC, author = "Junyi Wu and Hongge Li and Yumeng Liu and Yuanfei Ren and Weiheng Guo", booktitle = "{2025 23rd IEEE Interregional NEWCAS Conference (NEWCAS)}", title = "Nonlinear Function Computation Based on {CORDIC} with Stochastic Bitstreams", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "500--504", year = "2025", DOI = "https://doi.org/10.1109/NewCAS64648.2025.11107008", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Binary sequences; Computational efficiency; CORDIC-SC algorithms; Encoding; Energy efficiency; Iterative algorithms; Logic circuits; Low latency communication; Neural networks; Nonlinear function computation; Polynomials; Stochastic bitstreams; Stochastic computing", } @Article{Xie:2025:ULL, author = "Liangbo Xie and Zhiyong Zhou and Mu Zhou and Hui Chen", title = "Ultra-Low Latency Generalized Architecture for Complex Nth Root and Nth Power Computation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, pages = "1--14", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3605376", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Accuracy; Approximation algorithms; complex Nth powers; complex Nth roots; Computer architecture; Convergence; CORDIC; Delays; Hardware; Power demand; PWL; Real-time systems; Signal processing algorithms; Vectors; VLSI architecture", } @InProceedings{Yadav:2025:REL, author = "Abhishek Yadav and Ayush Dixit and Utsav Jana and Masahiro Fujita and Binod Kumar", booktitle = "{2025 IEEE Computer Society Annual Symposium on VLSI (ISVLSI)}", title = "Resource-Efficient {LSTM} Architecture for Keyword Spotting with {CORDIC-Activation} Approximation", volume = "1", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1--6", year = "2025", DOI = "https://doi.org/10.1109/ISVLSI65124.2025.11130307", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accelerator; Computational efficiency; Hardware; Inference; Latency; Long short term memory; Long short-term memory; Memory management; Parallel processing; Processing elements; Quantization (signal); Real-time systems; Resource management; Software development management; Very large scale integration", } @Article{Yen:2025:FQS, author = "Mao-Hsu Yen and Hoang-Yang Lu and Guang-Yan Li and Yuan-Cheng Xu and Yi-Jang Li and S. Pourmohammad Azizi", title = "Flexible Quadrature Spatial Modulation: Transmission, Detection, and Implementation", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "72", number = "8", pages = "4261--4272", year = "2025", DOI = "https://doi.org/10.1109/TCSI.2025.3531908", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems I: Regular Papers", journal-URL = "https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", keywords = "Computer architecture; CORDIC; Detectors; Hardware; Merging; MIMO; Modulation; QSM; Slot antennas; Symbols; Transmitting antennas; Vectors; VLSI", } @InProceedings{Zhang:2025:APC, author = "Xiyuan Zhang and Xueyong Liu", booktitle = "{2025 IEEE 7th International Conference on Communications, Information System and Computer Engineering (CISCE)}", title = "An Adaptive Precision {CORDIC} Processor with {UART} Interface for {FPGA}-based Edge Computing", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1015--1020", year = "2025", DOI = "https://doi.org/10.1109/CISCE65916.2025.11065818", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Adaptive control; adaptive control; Computer architecture; Coordinate Rotation Digital Computer; Digital computers; Edge computing; edge computing; Field programmable gate arrays; FPGA; Process control; Program processors; Signal processing; Technological innovation; Universal Asynchronous Receiver/Transmitter", } @Article{Zhang:2025:CLD, author = "Yuncheng Zhang and Zezheng Liu and Duo Li and Minzhe Tang and Yi Zhang and H{\'o}ngy{\`e} Hu{\'a}ng and Dingxin Xu and Waleed Madany and Ashbir Aviat Fadila and Wenqian Wang and Yuang Xiong and Daxu Zhang and Garry Pranata Kusuma and Hiroyuki Sakai and Kazuaki Kunihiro and Atsushi Shirane and Kenichi Okada", title = "{CORDIC}-Less Digital Polar Transmitter Architecture Based on Delta--Sigma Modulator", journal = j-IEEE-J-SOLID-STATE-CIRCUITS, pages = "1--14", year = "2025", CODEN = "IJSCBC", DOI = "https://doi.org/10.1109/JSSC.2025.3611233", ISSN = "0018-9200 (print), 1558-173X (electronic)", ISSN-L = "0018-9200", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Journal of Solid-State Circuits", keywords = "256-quadratic-amplitude modulation (QAM); Computer architecture; coordinate rotation digital computer (CORDIC); Delta-sigma modulation; delta-sigma modulator (DSM); digital predistortion (DPD)-less; digital transmitter (TX); Linearity; Phase modulation; polar; Power demand; Power generation; Predistortion; Quadrature amplitude modulation; Switches; Wideband", } @InProceedings{Zhang:2025:PEC, author = "Yuncheng Zhang and Zezheng Liu and Duo Li and Minzhe Tang and Yi Zhang and Hongye Huang and Dingxin Xu and Waleed Madany and Ashbir Aviat Fadila and Wenqian Wang and Yuang Xiong and Daxu Zhang and Garry Pranata Kusuma and Hiroyuki Sakai and Kazuaki Kunihiro and Atsushi Shirane and Kenichi Okada", booktitle = "{2025 IEEE International Solid-State Circuits Conference (ISSCC)}", title = "5.6 A Power-Efficient {CORDIC-Less} Digital Polar Transmitter Using 1b {DSM}-based {PA} Supporting {256-QAM}", volume = "68", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "100--103", year = "2025", DOI = "https://doi.org/10.1109/ISSCC49661.2025.10904639", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", acknowledgement = ack-nhfb, keywords = "Bandwidth; Baseband; Linearity; Phase locked loops; Phase modulation; Power amplifiers; Switches; Switching circuits; Systems architecture; Transmitters", } @InProceedings{Zhao:2025:RVP, author = "Ruixiao Zhao and Min Xie and Xinchen Li and Yujie Zhang", booktitle = "{2025 IEEE 14th International Conference on Communications, Circuits and Systems (ICCCAS)}", title = "A {RISC-V} Processor with Optimized {CORDIC}-based Trigonometric Function Accelerator", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "155--159", year = "2025", DOI = "https://doi.org/10.1109/ICCCAS65806.2025.11102696", bibdate = "Mon Oct 27 10:32:44 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/risc-v.bib", acknowledgement = ack-nhfb, keywords = "Accuracy; Circuits and systems; Computational efficiency; Computer architecture; CORDIC; Hardware; instruction set extension; Instruction sets; RISC-V; Table lookup; trigonometric function", } @Article{Jarray:2026:LCC, author = "Nedra Jarray and Majdi Elhajji and Abdelkrim Zitouni", title = "Low-cost compression architecture based on extended {DCT} algorithm", journal = j-INTEGRATION-VLSI-J, volume = "106", pages = "102568", year = "2026", CODEN = "IVJODL", DOI = "https://doi.org/10.1016/j.vlsi.2025.102568", ISSN = "0167-9260 (print), 1872-7522 (electronic)", ISSN-L = "0167-9260", bibdate = "Wed Oct 29 14:21:46 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib", URL = "https://www.sciencedirect.com/science/article/pii/S0167926025002251", acknowledgement = ack-nhfb, fjournal = "Integration, the VLSI Journal", journal-URL = "https://www.sciencedirect.com/journal/integration/issues", keywords = "Cordic DCT; FPGA design; Image compression; Loeffler DCT; Wireless capsule endoscopy", } %%% ==================================================================== %%% Cross-referenced entries must come last: @Book{Wilkinson:1965:AEP, author = "J. H. Wilkinson", booktitle = "The Algebraic Eigenvalue Problem", title = "The Algebraic Eigenvalue Problem", publisher = pub-OXFORD, address = pub-OXFORD:adr, pages = "xviii + 662", year = "1965", ISBN = "0-19-853403-5", ISBN-13 = "978-0-19-853403-7", LCCN = "QA218 .W686 1965", MRclass = "65.40", MRnumber = "MR0184422 (32 \#1894)", MRreviewer = "A. S. Householder", bibdate = "Tue Aug 15 18:20:34 MDT 1995", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib", shorttableofcontents = "1. Theoretical Background \\ 2. Perturbation Theory \\ 3. Error Analysis \\ 4. Solution of Linear Algebraic Equations \\ 5. Hermitian Matrices \\ 6. Reduction of a General Matrix to Condensed Form \\ 7. Eigenvalues of Matrices of Condensed Forms \\ 8. The $ L R $ and $ Q R $ Algorithms \\ 9. Iterative Methods \\ Bibliography / 649 \\ Index / 657", tableofcontents = "1. Theoretical Background \\ Introduction / 1 \\ Definitions / 2 \\ Eigenvalues and eigenvectors of the transposed matrix / 3 \\ Distinct eigenvalues / 4 \\ Similarity transformations / 6 \\ Multiple eigenvalues and canonical forms for general matrices / 7 \\ Defective system of eigenvectors / 9 \\ The Jordan (classical) canonical form / 10 \\ The elementary divisors / 12 \\ Companion matrix of the characteristic polynomial of $A$ / 12 \\ Non-derogatory matrices / 13 \\ The Frobenius (rational) canonical form / 15 \\ Relationship between the Jordan and Frobenius canonical forms / 16 \\ Equivalence transformations / 17 \\ Lambda matrices / 18 \\ Elementary operations / 19 \\ Smith's canonical form / 19 \\ The highest common factor of $k$-rowed minors of a $A$-matrix / 22 \\ Invariant factors of $ (A - \lambda M) $ / 22 \\ The triangular canonical form / 24 \\ Hermitian and symmetric matrices / 24 \\ Elementary properties of Hermitian matrices / 25 \\ Complex symmetric matrices / 26 \\ Reduction to triangular form by unitary transformations / 27 \\ Quadratic forms / 27 \\ Necessary and sufficient conditions for positive definiteness / 28 \\ Differential equations with constant coefficients / 30 \\ Solutions corresponding to non-linear elementary divisors / 31 \\ Differential equations of higher order / 32 \\ Second-order equations of special form / 34 \\ Explicit solution of $ B \ddot{y} = -A y$ / 35 \\ Equations of the form $(AB - \lambda I) x = 0$ / 35 \\ The minimum polynomial of a vector / 36 \\ The minimum polynomial of a matrix / 37 \\ Cayley--Hamilton theorem / 38 \\ Relation between minimum polynomial and canonical forms / 39 \\ Principal vectors / 42 \\ Elementary similarity transformations / 43 \\ Properties of elementary matrices / 45 \\ Reduction to triangular canonical form by elementary similarity transformations / 46 \\ Elementary unitary transformations / 47 \\ Elementary unitary Hermitian matrices / 48 \\ Reduction to triangular form by elementary unitary transformations / 50 \\ Normal matrices / 51 \\ Commuting matrices / 52 \\ Eigenvalues of $A B$ / 54 \\ Vector and matrix norms / 55 \\ Subordinate matrix norms / 56 \\ The Euclidean and spectral norms / 57 \\ Norms and limits / 58 \\ Avoiding use of infinite matrix series / 60 \\ 2. Perturbation Theory \\ Introduction / 62 \\ Ostrowski's theorem on continuity of the eigenvalues / 63 \\ Algebraic functions / 64 \\ Numerical examples / 65 \\ Perturbation theory for simple eigenvalues / 66 \\ Perturbation of corresponding eigenvectors / 67 \\ Matrix with linear elementary divisors / 68 \\ First-order perturbations of eigenvalues / 68 \\ First-order perturbations of eigenvectors / 69 \\ Higher-order perturbations / 70 \\ Multiple eigenvalues / 70 \\ Gerschgorin's theorems / 71 \\ Perturbation theory based on Gerschgorin's theorems / 72 \\ Case 1. Perturbation of a simple eigenvalue $\lambda_1$ of a matrix having linear elementary divisors / 72 \\ Case 2. Perturbation of a multiple eigenvalue $\lambda_1$ of a matrix having linear elementary divisors / 75 \\ Case 3. Perturbation of a simple eigenvalue of a matrix having one or more non-linear elementary divisors / 77 \\ Case 4. Perturbations of the eigenvalues corresponding to a non-linear elementary divisor of a non-derogatory matrix / 79 \\ Case 5. Perturbations of eigenvalues $\lambda_i$ when there is more than one divisor involving $(\lambda_i - \lambda_)$ and at least one of them is non-linear / 80 \\ Perturbations corresponding to the general distribution of non-linear divisors / 81 \\ Perturbation theory for the eigenvectors from Jordan canonical form / 81 \\ Perturbations of eigenvectors corresponding to a multiple eigenvalue (linear elementary divisors) / 83 \\ Limitations of perturbation theory / 84 \\ Relationships between the $s_i$ / 85 \\ The condition of a computing problem / 86 \\ Condition numbers / 86 \\ Spectral condition number of A with respect to its eigenproblem / 87 \\ Properties of spectral condition number / 88 \\ Invariant properties of condition numbers / 89 \\ Very ill-conditioned matrices / 90 \\ Perturbation theory for real symmetric matrices / 93 \\ Unsymmetric perturbations / 93 \\ Symmetric perturbations / 94 \\ Classical techniques / 94 \\ Symmetric matrix of rank unity / 97 \\ Extremal properties of eigenvalues / 98 \\ Minimax characterization of eigenvalues / 99 \\ Eigenvalues of the sum of two symmetric matrices / 101 \\ Practical applications / 102 \\ Further applications of minimax principle / 103 \\ Separation theorem / 103 \\ The Wielandt--Hoffman theorem / 104 \\ 3. Error Analysis \\ Introduction / 110 \\ Fixed-point operations / 110 \\ Accumulation of inner-products / 111 \\ Floating-point operations / 112 \\ Simplified expressions for error bounds / 113 \\ Error bounds for some basic floating-point computations / 114 \\ Bounds for norms of the error matrices / 115 \\ Accumulation of inner-products in floating-point arithmetic / 116 \\ Error bounds for some basic $\fl_2( )$ computations / 117 \\ Computation of square roots / 118 \\ Block-floating vectors and matrices / 119 \\ Fundamental limitations oft-digit computation / 120 \\ Eigenvalue techniques based on reduction by similarity transformations / 123 \\ Error analysis of methods based on elementary non-unitary transformations / 124 \\ Error analysis of methods based on elementary unitary transformations / 126 \\ Superiority of the unitary transformation / 128 \\ Real symmetric matrices / 129 \\ Limitations of unitary transformations / 129 \\ Error analysis of floating-point computation of plane rotations / 131 \\ Multiplication by a plane rotation / 133 \\ Multiplication by a sequence of plane rotations / 134 \\ Error in product of approximate plane rotations / 139 \\ Errors in similarity transforms / 140 \\ Symmetric matrices / 141 \\ Plane rotations in fixed-point arithmetic / 143 \\ Alternative computation of $\sin \theta$ and $\cos \theta$ / 145 \\ Pre-multiplication by an approximate fixed-point rotation / 145 \\ Multiplication by a sequence of plane rotations (fixed-point) / 147 \\ The computed product of an approximate set of plane rotations / 148 \\ Errors in similarity transformations / 148 \\ General comments on the error bounds / 151 \\ Elementary Hermitian matrices in floating-point / 152 \\ Error analysis of the computation of an elementary Hermitian matrix / 153 \\ Numerical example / 156 \\ Pre-multiplication by an approximate elementary Hermitian matrix / 157 \\ Multiplication by a sequence of approximate elementary Hermitians / 160 \\ Non-unitary elementary matrices analogous to plane rotations / 162 \\ Non-unitary elementary matrices analogous to elementary Hermitian matrices / 163 \\ Pre-multiplication by a sequence of non-unitary matrices / 165 \\ A priori error bounds / 166 \\ Departure from normality / 167 \\ Simple examples / 169 \\ A posteriori bounds / 170 \\ A posteriori bounds for normal matrices / 170 \\ Rayleigh quotient / 172 \\ Error in Rayleigh quotient / 173 \\ Hermitian matrices / 174 \\ Pathologically close eigenvalues / 176 \\ Non-normal matrices / 178 \\ Error analysis for a complete eigensystem / 180 \\ Numerical example / 181 \\ Conditions limiting attainable accuracy / 181 \\ Non-linear elementary, divisors / 182 \\ Approximate invariant subspaces / 184 \\ Almost normal matrices / 187 \\ 4. Solution of Linear Algebraic Equations \\ Introduction / 189 \\ Perturbation theory / 189 \\ Condition numbers / 191 \\ Equilibrated matrices / 192 \\ Simple practical examples / 193 \\ Condition of matrix of eigenvectors / 193 \\ Explicit solution / 194 \\ General comments on condition of matrices / 195 \\ Relation of ill-conditioning to near-singularity / 196 \\ Limitations imposed by t-digit arithmetic / 197 \\ Algorithms for solving linear equations / 198 \\ Gaussian elimination / 200 \\ Triangular decomposition / 201 \\ Structure of triangular decomposition matrices / 201 \\ Explicit expressions for elements of the triangles / 202 \\ Breakdown of Gaussian elimination / 204 \\ Numerical stability / 205 \\ Significance of the interchanges / 206 \\ Numerical example / 207 \\ Error analysis of Gaussian elimination / 209 \\ Upper bounds for the perturbation matrices using fixed-point arithmetic / 211 \\ Upper bound for elements of reduced matrices / 212 \\ Complete pivoting / 212 \\ Practical procedure with partial pivoting / 214 \\ Floating-point error analysis / 214 \\ Floating-point decomposition without pivoting / 215 \\ Loss of significant figures / 217 \\ A popular fallacy / 217 \\ Matrices of special form / 218 \\ Gaussian elimination on a high-speed computer / 220 \\ Solutions corresponding to different right-hand sides / 221 \\ Direct triangular decomposition / 221 \\ Relations between Gaussian elimination and direct triangular decomposition / 223 \\ Examples of failure and non-uniqueness of decomposition / 224 \\ Triangular decomposition with row interchanges / 225 \\ Error analysis of triangular decomposition / 227 \\ Evaluation of determinants / 228 \\ Cholesky decomposition / 229 \\ Symmetric matrices which are not positive definite / 230 \\ Error analysis of Cholesky decomposition in fixed-point arithmetic / 231 \\ An ill-conditioned matrix / 233 \\ Triangularization using elementary Hermitian matrices / 233 \\ Error analysis of Householder triangularization / 236 \\ Triangularization by elementary stabilized matrices of the type M1, / 236 \\ Evaluation of determinants of leading principal minors / 237 \\ Triangularization by plane rotations / 239 \\ Error analysis of Givens reduction / 240 \\ Uniqueness of orthogonal triangularization / 241 \\ Schmidt orthogonalization / 242 \\ Comparison of the methods of triangularization / 244 \\ Back-substitution / 247 \\ High accuracy of computed solutions of triangular sets of equations / 249 \\ Solution of a general set of equations / 251 \\ Computation of the inverse of a general matrix / 252 \\ Accuracy of computed solutions / 253 \\ Ill-conditioned matrices which give no small pivots / 254 \\ Iterative improvements of approximate solution / 255 \\ Effect of rounding errors on the iterative process / 256 \\ The iterative procedure in fixed-point computation / 257 \\ Simple example of iterative procedure / 258 \\ General comments on the iterative procedure / 260 \\ Related iterative procedures / 261 \\ Limitations of the iterative procedure / 261 \\ Rigorous justification of the iterative method / 262 \\ 5. Hermitian Matrices \\ Introduction / 265 \\ The classical Jacobi method for real symmetric matrices / 266 \\ Rate of convergence / 267 \\ Convergence to fixed diagonal matrix / 268 \\ Serial Jacobi method / 269 \\ The Gerschgorin discs / 269 \\ Ultimate quadratic convergence of Jacobi methods / 270 \\ Close and multiple eigenvalues / 271 \\ Numerical examples / 273 \\ Calculation of cos 8 and sin B / 274 \\ Simpler determination of the angles of rotation / 276 \\ The threshold Jacobi method / 277 \\ Calculation of the eigenvectors / 278 \\ Numerical example / 279 \\ Error analysis of the Jacobi method / 279 \\ Accuracy of the computed eigenvectors / 280 \\ Error bounds for fixed-point computation / 281 \\ Organizational problems / 282 \\ Givens' method / 282 \\ Givens' process on a computer with a two-level store / 284 \\ Floating-point error analysis of Givens' process / 286 \\ Fixed-point error analysis / 287 \\ Numerical example / 288 \\ Householder's method / 290 \\ Taking advantage of symmetry / 292 \\ Storage considerations / 293 \\ Householder's process on a computer with a two-level store / 294 \\ Householder's method in fixed-point arithmetic / 294 \\ Numerical example / 296 \\ Error analyses of Householder's method / 297 \\ Eigenvalues of a symmetric tri-diagonal matrix / 299 \\ Sturm sequence property / 300 \\ Method of bisection / 302 \\ Numerical stability of the bisection method / 302 \\ Numerical example / 305 \\ General comments on the bisection method / 306 \\ Small eigenvalues / 307 \\ Close eigenvalues and small $\beta_i$ / 308 \\ Fixed-point computation of the eigenvalues / 312 \\ Computation of the eigenvectors of a tri-diagonal form / 315 \\ Instability of the explicit expression for the eigenvector / 316 \\ Numerical examples / 319 \\ Inverse iteration / 321 \\ Choice of initial vector $b$ / 322 \\ Error analysis / 323 \\ Numerical example / 325 \\ Close eigenvalues and small $\beta_i$ / 327 \\ Independent vectors corresponding to coincident eigenvalues / 328 \\ Alternative method for computing the eigenvectors / 330 \\ Numerical example / 331 \\ Comments on the eigenproblem for tri-diagonal matrices / 332 \\ Completion of the Givens and Householder methods / 333 \\ Comparison of methods / 334 \\ Quasi-symmetric tri-diagonal matrices / 335 \\ Calculation of the eigenvectors / 336 \\ Equations of the form $A x = \lambda B x$ and $A B x = \lambda X $ / 337 \\ Numerical example / 339 \\ Simultaneous reduction of $A$ and $B$ to diagonal form / 340 \\ Tri-diagonal $A$ and $B$ / 340 \\ Complex Hermitian matrices / 342 \\ 6. Reduction of a General Matrix to Condensed Form \\ Introduction / 345 \\ Givens' method / 345 \\ Householder's method / 347 \\ Storage considerations / 350 \\ Error analysis / 350 \\ Relationship between the Givens and Householder methods / 351 \\ Elementary stabilized transformations / 353 \\ Significance of the permutations / 355 \\ Direct reduction to Hessenberg form / 357 \\ Incorporation of interchanges / 359 \\ Numerical example / 360 \\ Error analysis / 363 \\ Related error analyses / 365 \\ Poor determination of the Hessenberg matrix / 368 \\ Reduction to Hessenberg form using stabilized matrices of the type $ M^'_{ji} $ / 368 \\ The method of Krylov / 369 \\ Gaussian elimination by columns / 370 \\ Practical difficulties / 371 \\ Condition of O for some standard distributions of eigenvalues / 372 \\ Initial vectors of grade less than n / 374 \\ Practical experience / 376 \\ Generalized Hessenberg processes / 377 \\ Failure of the generalized Hessenberg process / 378 \\ The Hessenberg method / 379 \\ Practical procedure / 380 \\ Relation between the Hessenberg method and earlier methods / 381 \\ The method of Arnoldi / 382 \\ Practical considerations / 383 \\ Significance of re-orthogonalization / 385 \\ The method of Lanczos / 388 \\ Failure of procedure / 389 \\ Numerical example / 390 \\ The practical Lanczos process / 391 \\ Numerical example / 392 \\ General comments on the unsymmetric Lanczos process / 394 \\ The symmetric Lanczos process / 394 \\ Reduction of a Hessenberg matrix to a more compact form / 395 \\ Reduction of a lower Hessenberg matrix to tri-diagonal form / 396 \\ The use of interchanges / 397 \\ Effect of a small pivotal element / 398 \\ Error analysis / 399 \\ The Hessenberg process applied to a lower Hessenberg matrix / 402 \\ Relationship between the Hessenberg process and the Lanczos process / 402 \\ Reduction of a general matrix to tri-diagonal form / 403 \\ Comparison with Lanczos method / 404 \\ Re-examination of reduction to tri-diagonal form / 404 \\ Reduction from upper Hessenberg form to Frobenius form / 405 \\ Effect of small pivot / 407 \\ Numerical example / 408 \\ General comments on the stability / 408 \\ Specialized upper Hessenberg form / 409 \\ Direct determination of the characteristic polynomial / 410 \\ 7. Eigenvalues of Matrices of Condensed Forms \\ Introduction / 413 \\ Explicit polynomial form / 413 \\ Condition numbers of explicit polynomials / 416 \\ Some typical distributions of zeros / 417 \\ Final assessment of Krylov's method / 421 \\ General comments on explicit polynomials / 421 \\ Tri-diagonal matrices / 423 \\ Determinants of Hessenberg matrices / 426 \\ Effect of rounding errors / 427 \\ Floating-point accumulation / 428 \\ Evaluation by orthogonal transformations / 429 \\ Evaluation of determinants of general matrices / 431 \\ The generalized eigenvalue problem / 432 \\ Indirect determinations of the characteristic polynomial / 432 \\ Le Verrier's method / 434 \\ Iterative methods based on interpolation / 435 \\ Asymptotic rate of convergence / 436 \\ Multiple zeros / 437 \\ Inversion of the functional relationship / 439 \\ The method of bisection / 440 \\ Newton's method / 441 \\ Comparison of Newton's method with interpolation / 442 \\ Methods giving cubic convergence / 443 \\ Laguerre's method / 443 \\ Complex zeros / 446 \\ Complex conjugate zeros / 447 \\ Bairstow's method / 449 \\ The generalized Bairstow method / 450 \\ Practical considerations / 452 \\ Effect of rounding errors on asymptotic convergence / 453 \\ The method of bisection / 453 \\ Successive linear interpolation / 455 \\ Multiple and pathologically close eigenvalues / 457 \\ Other interpolation methods / 458 \\ Methods involving the use of a derivative / 459 \\ Criterion for acceptance of a zero / 461 \\ Effect of rounding errors / 462 \\ Suppression of computed zeros / 464 \\ Deflation for Hessenberg matrices / 465 \\ Deflation of tri-diagonal matrices / 468 \\ Deflation by rotations or stabilized elementary transformations / 469 \\ Stability of the deflation / 472 \\ General comments on deflation / 474 \\ Suppression of computed zeros / 474 \\ Suppression of computed quadratic factors / 475 \\ General comments on the methods of suppression / 476 \\ Asymptotic rates of convergence / 478 \\ Convergence in the large / 478 \\ Complex zeros / 481 \\ Recommendations / 482 \\ Complex matrices / 483 \\ Matrices containing an independent parameter / 483 \\ 8. The $ L R $ and $ Q R $ Algorithms \\ Introduction / 485 \\ Real matrices with complex eigenvalues / 486 \\ The $ L R $ algorithm / 487 \\ Proof of the convergence of the $A_s$ / 489 \\ Positive definite Hermitian matrices / 493 \\ Complex conjugate eigenvalues / 494 \\ Introduction of interchanges / 498 \\ Numerical example / 499 \\ Convergence of the modified process / 501 \\ Preliminary reduction of original matrix / 501 \\ Invariance of upper Hessenberg form / 502 \\ Simultaneous row and column operations / 504 \\ Acceleration of convergence / 505 \\ Incorporation of shifts of origin / 506 \\ Choice of shift of origin / 507 \\ Deflation of the matrix / 509 \\ Practical experience of convergence / 510 \\ Improved shift strategy / 511 \\ Complex conjugate eigenvalues / 512 \\ Criticisms of the modified $ L R $ algorithm. / 515 \\ The $ Q R $ algorithm / 515 \\ Convergence of the $ Q R $ algorithm / 516 \\ Formal proof of convergence / 517 \\ Disorder of the eigenvalues / 519 \\ Eigenvalues of equal modulus / 520 \\ Alternative proof for the $ L R $ technique / 521 \\ Practical application of the $ Q R $ algorithm / 523 \\ Shifts of origin / 524 \\ Decomposition of A8 / 525 \\ Numerical example / 527 \\ Practical procedure / 527 \\ Avoiding complex conjugate shifts / 528 \\ Double $ Q R $ step using elementary Hermitians / 532 \\ Computational details / 534 \\ Decomposition of A8 / 535 \\ Double-shift technique for $ L R $ / 537 \\ Assessment of $ L R $ and $ Q R $ algorithms / 538 \\ Multiple eigenvalues / 540 \\ Special use of the deflation process / 543 \\ Symmetric matrices / 544 \\ Relationship between $ L R $ and $ Q R $ algorithms / 545 \\ Convergence of the Cholesky $ L R $ algorithm / 546 \\ Cubic convergence of the $ Q R $ algorithm / 548 \\ Shift of origin in Cholesky $ L R $ / 549 \\ Failure of the Cholesky decomposition / 550 \\ Cubically convergent $ L R $ process / 551 \\ Band matrices / 553 \\ $ Q R $ decomposition of a band matrix / 557 \\ Error analysis / 561 \\ Unsymmetric band matrices / 562 \\ Simultaneous decomposition and recombination in $ Q R $ algorithm / 565 \\ Reduction of band width / 567 \\ 9. ITERATIVE METHODS \\ Introduction / 570 \\ The power method / 570 \\ Direct iteration with a single vector / 571 \\ Shift of origin / 572 \\ Effect of rounding errors / 573 \\ Variation of $p$ / 576 \\ {\em Ad hoc\/} choice of $p$ / 577 \\ Aitken's acceleration technique / 578 \\ Complex conjugate eigenvalues / 579 \\ Calculation of the complex eigenvector / 581 \\ Shift of origin / 582 \\ Non-linear divisors / 582 \\ Simultaneous determination of several eigenvalues / 583 \\ Complex matrices / 584 \\ Deflation / 584 \\ Deflation based on similarity transformations / 585 \\ Deflation using invariant subspaces / 587 \\ Deflation using stabilized elementary transformations / 587 \\ Deflation using unitary transformations / 589 \\ Numerical stability / 590 \\ Numerical example / 592 \\ Stability of unitary transformations / 594 \\ Deflation by non-similarity transformations / 596 \\ General reduction using invariant subspaces / 599 \\ Practical application / 601 \\ Treppen-iteration / 602 \\ Accurate determination of complex conjugate eigenvalues / 604 \\ Very close eigenvalues / 606 \\ Orthogonalization techniques / 606 \\ Analogue of treppen-iteration using orthogonalization / 607 \\ Bi-iteration / 609 \\ Numerical example / 610 \\ Richardson's purification process / 614 \\ Matrix squaring / 615 \\ Numerical stability / 616 \\ Use of Chebyshev polynomials / 617 \\ General assessment of methods based on direct iteration / 618 \\ Inverse iteration / 619 \\ Error analysis of inverse iteration / 620 \\ General comments on the analysis / 621 \\ Further refinement of eigenvectors / 622 \\ Non-linear elementary divisors / 626 \\ Inverse iteration with Hessenberg matrices / 626 \\ Degenerate cases / 627 \\ Inverse iteration with band matrices / 628 \\ Complex conjugate eigenvectors / 629 \\ Error analysis / 631 \\ Numerical example / 633 \\ The generalized eigenvalue problem / 633 \\ Variation of approximate eigenvalues / 635 \\ Refinement of eigensystems / 637 \\ Numerical example / 639 \\ Refinement of the eigenvectors / 641 \\ Complex conjugate eigenvalues / 643 \\ Coincident and pathologically close eigenvalues / 644 \\ Comments on the ACE programmes / 646 \\ Bibliography / 649 \\ Index / 657", } @Proceedings{Macon:1971:SJC, editor = "Nathaniel Macon", key = "AFIPS SJCC '71", booktitle = "1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey", title = "1971 Spring Joint Computer Conference, May 18--20, 1971, Atlantic City, New Jersey", volume = "38", publisher = pub-AFIPS, address = pub-AFIPS:adr, pages = "631", year = "1971", DOI = "https://doi.org/10.1145/1478786", ISBN = "1-4503-7907-9", ISBN-13 = "978-1-4503-7907-6", LCCN = "????", bibdate = "Fri Sep 16 10:47:01 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran1.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "AFIPS conference proceedings", acknowledgement = ack-nj # " and " # ack-nhfb, tableofcontents = "Computing Machines --- Menace or Messiah? --- Panel Session (No papers in this volume) \\ \\ Image of the Industry --- Panel Session (No papers in this volume) \\ \\ The New Technology --- Hardware Design and Evaluation \\ \\ The DINKIAC I --- A pseudo-virtual-memoried mini --- For stand-alone interactive use / R. W. Conn / 1 \\ A multi-channel CRC register / A. M. Patel / 11 \\ Features of an advanced front-end CPU / R. B. Hibbs / 15 \\ Interpreting the results of a hardware systems monitor / J. S. Cockrum and E. D. Crockett / 23 \\ \\ Law Enforcement and Judicial Administration --- Panel Session (No papers in this volume) \\ \\ Applications Requiring Multiprocessors \\ \\ 4-way parallel processor partition of an atmospheric primitive-equation prediction model / E. Morenoff, W. Beckett, P. G. Kesel, F. J. Winninghoff, and P. M. Wolff / 39 \ An associative processor for air traffic control / K. J. Thurber / 49 \\ \\ Computer Aided management Of Earth Resources --- Panel Session (No papers in this volume) \\ \\ Responsive Government --- Panel Session (No papers in this volume) \\ \\ Computers in Transport --- For Management Needs or Suppliers' Delight? \\ \\ A computer-aided traffic forecasting technique --- The trans Hudson model / E. J. Lessieu / 61 \\ Computer graphics for transportation problems / D. Cohen and J. M. McQuillan / 77 \\ Real time considerations for an airline / J. Loo, B. T. O'Donald, and I. R. Whiteman / 83 \\ A computer simulation model of train operations in CTC territory D. Borch / 93 \\ \\ Present and Future Data Networks --- Panel Session (No papers in this volume) \\ \\ Terminal Oriented Displays \\ \\ A general display terminal system J. H. Botterill and G. F. Heyne / 103 \\ AIDS --- Advanced interactive display system / T. R. Stack and S. T. Walker / 113 \\ CRT display system for industrial process / T. Konishe, N. Hamada and I. Yasuda / 123 \\ Computer generated closed circuit TV displays with remote terminal control / S. Winkler, G. W. Price / 131 \\ \\ Competitive Evaluation of Interactive Systems --- Panel Session (No papers in this volume) \\ \\ Computers in the Electoral Process \\ \\ The theory and practice of bipartisan constitutional computer-aided redistricting / S. S. Nagel / 137 \\ ``Second-generation'' computer vote count systems --- Assuming a professional responsibility / C. H. Springer and M. R. Alkus / 143 \\ \\ Microprogramming and Emulation \\ \\ Evaluation of hardware--firmware--software trade-offs with mathematical modeling / H. Barsamiam and A. DeCegama / 151 \\ System/370 integrated emulation under OS and DOS / G. R. Allred / 163 \\ A high-level microprogramming language (MPL) / R. H. Eckhouse, Jr. / 169 \\ A firmware APL time-sharing system / R. Zaks, D. Steingart, and J. Moore / 179 \\ \\ Interactive Applications and Systems \\ \\ Designing a large scale on-line real-time system / S. Ishizaki / 191 \\ PERT --- A computer-aided game / J. Richter-Nielsen / 199 \\ Interactive problem-solving --- An experimental study of ``lockout'' effects / B. W. Boehm, M. J. Seven, and R. A. Watson / 205 \\ TYMNET --- A terminal-oriented communication network / L. R. Tymes / 211 \\ Implementation of an interactive conference system / T. W. Hall / 217 \\ \\ Computational Complexity --- Panel Session (No papers in this volume) \\ \\ The Evolution of Computer Animation --- Panel Session (No papers in this volume) \\ \\ Serving Users in Higher Education \\ \\ Who are the users? --- An analysis of computer use in a university computer center / E. Hunt, G. Diehr, and D. Garnatz / 231 \\ \\ Information and Data Management \\ \\ An initial operational problem oriented medical record system --- For storage, manipulation and retrieval of medical data / J. R. Schultz, S. V. Cantrill, and K. G. Morgan / 239 \\ Laboratory verification of patient identity / S. Raymond, L. Chalmers, and W. Steuber / 265 \\ The data system environment simulator (DASYS) / L. E. DeCuir and R. W. Garrett / 271 \\ Management information systems --- What happens after implementation? / D. E. Thomas, Jr. / 277 \\ A methodology for the design and optimization of information processing systems / J. F. Nunamaker, Jr. / 283 \\ \\ Computer Assisted Instruction \\ \\ Computer generated repeatable tests / F. Prosser and D. D. Jensen / 295 \\ R2 --- A natural language question-answering system / K. Biss, R. Chien, and F. Stahl / 303 \\ \\ The New Technology --- Storage \\ \\ Performance evaluation of direct access storage devices with a fixed head per track / T. Manocha, W. L. Martin, and K. W. Stevens / 309 \\ Drum queueing model / G. P. Jain and S. R. Arora / 319 \\ Storage hierarchy systems / H. Katzan, Jr. / 325 \\ Optimal sizing, loading and re-loading in a multi-level memory hierarchy system / S. R. Arora and A. Gallo / 337 \\ The TABLON mass storage network / R. B. Gentile and J. R. Lucas, Jr. / 345 \\ \\ Topics in Computer Arithmetic and in Artificial Intelligence \\ \\ A structure for systems that plan abstractly / W. W. Jacobs / 357 \\ Unconventional superspeed computer systems / T. C. Chen / 365 \\ High speed division for binary computers / H. Ling / 373 \\ A unified algorithm for elementary functions / S. Walther / 379 \\ A software system for tracing numerical significance during computer program execution / H. S. Bright, B. A. Colhoun, and F. B. Mallory / 387 \\ Software Liability and Responsibility --- Panel Session (No papers in this volume) \\ \\ Venture Capital --- Financing Young Companies --- Panel Session (No papers in this volume) \\ \\ From the User's Viewpoint --- Panel Session (No papers in this volume) \\ \\ Peripheral Processing --- Panel Session (No papers in this volume) \\ \\ Computer Pictorics \\ \\ Automated interpretation and editing of fuzzy line drawings / S. K. Chang / 393 \\ Computer graphics study of array response / G. W. Byram, G. V. Olds, and L. P. LaLumiere / 401 \\ Computer manipulation of digitized pictures / N. Macon and M. E. Kiefer / 407 \\ An International View --- Panel Session (No papers in this volume) \\ \\ Simulation of Computer Systems \\ \\ The design of a meta-system / A. S. Noetzel / 415 \\ An interactive simulator generating system for small computers / J. L. Brame and C. V. Ramamoorthy / 425 \\ Application of Computers to Training --- Panel Session (No papers in this volume) \\ \\ The New Technology --- Diagnostics and Recovery \\ \\ Multiband automatic test equipment --- A computer controlled check-out system / T. Kuroda and T. C. Bush / 451 \\ Coding techniques for failure recovery in a distributive modular memory organization / S. A. Szygenda and M. J. Flynn / 459 \\ Recovery through programming system/370 / D. L. Droulette / 467 \\ On automatic testing of one-line, real-time systems / J. S. Gould / 477 \\ \\ The New Technology --- Systems Software \\ \\ PORTS --- A method for dynamic interprogram communication and job control / R. M. Balzer / 485 \\ Automatic program segmentation based on boolean connectivity / E. W. Ver Hoef / 491 \\ Partial recompilation / R. B. Ayres and R. L. Derrenbacher / 497 \\ PL/C --- The design of a high-performance compiler for PL/I / H. L. Morgan and R. A. Wagner / 503 \\ GPL/I --- A PL/I extension for computer graphics / D. N. Smith / 511 \\ ETC --- An extendible macro-based compiler / B. N. Dickman / 529 \\ \\ The Computer Professional and the Changing Job Market --- Panel Session (No papers in this volume) \\ \\ The New Technology --- File Organization \\ \\ A file organization method using multiple keys / M. L. O'Connell / 539 \\ Arranging frequency dependent data on sequential memories / C. V. Ramamoorthy and P. R. Blevins / 545 \\ Associative processing of line drawings / N. J. Stillman, C. R. Defiore, and P. B. Berra / 557 \\ \\ The New Technology --- Computer Architecture \\ \\ The hardware-implemented high-level machine language for symbol / G. D. Chesley and W. R. Smith / 563 \\ SYMBOL --- A major departure from classic software dominated von Neumann computing systems / R. Rice and W. R. Smith / 575 \\ The physical attributes and testing aspects of the symbol system / B. E. Cowart, R. Rice, and S. F. Lundstrom / 589 \\ SYMBOL --- A large experimental system exploring major hardware replacement of software / W. R. Smith, R. Rice, G. D. Chesley, T. A. Laliotis, S. F. Lundstrom, M. A. Calhoun, L. D. Gerould, and T. G. Cook / 601 \\ \\ Educational Requirements for Systems Analysts \\ \\ A semi-automatic relevancy generation technique for data processing education and career development / J. D. Benenati / 617 \\ An architectural framework for systems analysis and evaluation / P. Freeman / 629 \\ \\ Computer Acquisition --- Purchase or Lease --- Panel Session (No papers in this volume) \\ \\ Computation, Decision Making, and the Environment --- Panel Session (No papers in this volume)", } @Book{Petrocelli:1972:BCP, editor = "Orlando R. Petrocelli", booktitle = "The Best Computer Papers in 1971", title = "The Best Computer Papers in 1971", publisher = "Auerbach Publishers", address = "Princeton, NJ, USA", pages = "ix + 296", year = "1972", ISBN = "0-87769-127-4", ISBN-13 = "978-0-87769-127-3", LCCN = "QA76.5 .P397 1972", bibdate = "Wed Oct 29 06:02:29 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, tableofcontents = "1: Association for Computing Machinery \\ 2: American Federation of Information Processing Societies \\ 3: International Federation for Information Processing \\ 4: The British Computer Electrical and Electronics Engineers \\ 6: Simulation Councils \\ 7: Numerical Control Society \\ 8: Forecast", } @Proceedings{Anonymous:1980:CPA, editor = "Anonymous", key = "COMPARCH '80", booktitle = "{Conference Proceedings 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980}", title = "{Conference Proceedings 7th Annual Symposium on Computer Architecture, La Baule, France, 6--8 May 1980}", volume = "8(3)", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "333", year = "1980", CODEN = "CANED2", ISSN = "0163-5964 (print), 1943-5851 (electronic)", bibdate = "Fri Sep 16 10:53:10 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", series = j-COMP-ARCH-NEWS, acknowledgement = ack-nj, } @Proceedings{IEEE:1980:IIS, editor = "Anonymous", key = "IEEE ISSCC '80", booktitle = "{1980 IEEE International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, PA, USA, 13--15 February 1980}", title = "{1980 IEEE International Solid-State Circuits Conference Digest of Technical Papers, Philadelphia, PA, USA, 13--15 February 1980}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "285", year = "1980", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Fri Sep 16 10:55:14 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE Catalog Number 80CH1490-2-SSC.", acknowledgement = ack-nj, } @Proceedings{Kirk:1984:CRE, editor = "Donald E. Kirk", booktitle = "Conference Record: Eighteenth Asilomar Conference on Circuits, Systems and Computers: Papers Presented November 5--7, 1984, Pacific Grove, California", title = "Conference Record: Eighteenth Asilomar Conference on Circuits, Systems and Computers: Papers Presented November 5--7, 1984, Pacific Grove, California", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "x + 456", year = "1984", ISBN = "0-8186-0673-8 (paperback), 0-8186-8673-1 (hard), 0-8186-4673-X (microfiche)", ISBN-13 = "978-0-8186-0673-1 (paperback), 978-0-8186-8673-3 (hard), 978-0-8186-4673-7 (microfiche)", LCCN = "TK 7801 A83 1984", bibdate = "Thu Sep 08 13:41:13 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } @Proceedings{Hwang:1985:PSC, editor = "Kai Hwang", booktitle = "Proceedings: 7th Symposium on Computer Arithmetic, June 4--6, 1985, University of Illinois, Urbana, Illinois", title = "Proceedings: 7th Symposium on Computer Arithmetic, June 4--6, 1985, University of Illinois, Urbana, Illinois", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xi + 343", year = "1985", ISBN = "0-8186-0632-0 (paperback), 0-8186-8632-4 (hard), 0-8186-4632-2 (microfiche)", ISBN-13 = "978-0-8186-0632-8 (paperback), 978-0-8186-8632-0 (hard), 978-0-8186-4632-4 (microfiche)", LCCN = "QA76.9.C62 S95 1985", bibdate = "Thu Sep 08 00:11:41 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE catalog number 85CH2146-9. IEEE Computer Society order number 632.", acknowledgement = ack-nj, keywords = "ARITH-7", } @Proceedings{Irwin:1987:PSC, editor = "Mary Jane Irwin and Renato Stefanelli", booktitle = "Proceedings: 8th Symposium on Computer Arithmetic, May 19--21, 1987, Villa Olmo, Como, Italy", title = "Proceedings: 8th Symposium on Computer Arithmetic, May 19--21, 1987, Villa Olmo, Como, Italy", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "ix + 277", month = may, year = "1987", DOI = "https://doi.org/10.1109/ARITH1451.1987", ISBN = "0-8186-0774-2 (paperback), 0-8186-4774-4 (microfiche), 0-8186-8774-6 (case)", ISBN-13 = "978-0-8186-0774-5 (paperback), 978-0-8186-4774-1 (microfiche), 978-0-8186-8774-7 (case)", LCCN = "QA 76.9 C62 S95 1987", bibdate = "Wed Sep 14 20:52:21 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARITH-8", } @Proceedings{ACM:1989:PSN, editor = "{ACM}", booktitle = "Proceedings, Supercomputing '89: November 13--17, 1989, Reno, Nevada", title = "Proceedings, Supercomputing '89: November 13--17, 1989, Reno, Nevada", publisher = pub-ACM, address = pub-ACM:adr, pages = "xviii + 849", year = "1989", ISBN = "0-89791-341-8", ISBN-13 = "978-0-89791-341-6", LCCN = "QA 76.5 S87 1989", bibdate = "Wed Aug 28 06:48:31 MDT 1996", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; University of California MELVYL catalog.", note = "IEEE 89CH2802-7.", acknowledgement = ack-nhfb, classification = "A0130C (Conference proceedings); A0270 (Computational techniques); A0500 (Statistical physics and thermodynamics); A4700 (Fluid dynamics); B0100 (General electrical engineering topics); B0290 (Numerical analysis); B1130B (Computer-aided circuit analysis and design); C4100 (Numerical analysis); C4240 (Programming and algorithm theory); C5440 (Multiprocessor systems and techniques); C5470 (Performance evaluation and testing); C6110B (Software engineering techniques); C6150J (Operating systems); C7000 (Computer applications)", keywords = "benchmarking; computer applications; parallel algorithms; parallel processing; performance evaluation; performance measurements; performance tools; pipeline processing; software environments; supercomputer architectures; supercomputers --- congresses; technology integration; vector algorithms", remark = "89CM2802-7. ACM Order Number 415892. IEEE 89CH2802-7. IEEE Computer Society Order Number 2021.", } @Proceedings{Ercegovac:1989:PSC, editor = "Milo{\v{s}} D. Ercegovac and Earl E. {Swartzlander, Jr.}", booktitle = "Proceedings: 9th Symposium on Computer Arithmetic: September 6--8, 1989, Santa Monica, California, {USA}", title = "Proceedings: 9th Symposium on Computer Arithmetic: September 6--8, 1989, Santa Monica, California, {USA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xv + 247", year = "1989", ISBN = "0-8186-8963-3 (case), 0-8186-5963-7 (microfiche)", ISBN-13 = "978-0-8186-8963-5 (case), 978-0-8186-5963-8 (microfiche)", LCCN = "QA 76.9 C62 S95 1989", bibdate = "Thu Sep 01 22:36:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE catalog no. 89CH2757-3.", acknowledgement = ack-nhfb, confdate = "6-8 Sept. 1989", conflocation = "Santa Monica, CA, USA", confsponsor = "IEEE; IFIP; University of California", keywords = "ARITH-9", } @Proceedings{Kornerup:1991:PIS, editor = "Peter Kornerup and David W. Matula", booktitle = "{Proceedings: 10th IEEE Symposium on Computer Arithmetic: June 26--28, 1991, Grenoble, France}", title = "{Proceedings: 10th IEEE Symposium on Computer Arithmetic: June 26--28, 1991, Grenoble, France}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xiii + 282", year = "1991", ISBN = "0-8186-9151-4 (case), 0-8186-6151-8 (microfiche), 0-7803-0187-0 (library binding)", ISBN-13 = "978-0-8186-9151-5 (case), 978-0-8186-6151-8 (microfiche), 978-0-7803-0187-0 (library binding)", LCCN = "QA76.9.C62 S95 1991", bibdate = "Thu Sep 01 23:18:52 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE catalog no. 91CH3015-5.", acknowledgement = ack-nhfb, confdate = "26-28 June 1991", conflocation = "Grenoble, France", confsponsor = "IEEE; CNRS; IMAG", keywords = "ARITH-10", } @Proceedings{IEEE:1992:PIC, editor = "{IEEE}", booktitle = "Proceedings of the {IEEE 1992} Custom Integrated Circuits Conference: the Westin Copley Place Hotel, Boston, Massachusetts, May 3--6, 1992", title = "Proceedings of the {IEEE} 1992 Custom Integrated Circuits Conference: the Westin Copley Place Hotel, Boston, Massachusetts, May 3--6, 1992", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "????", year = "1992", ISBN = "0-7803-0246-X, 0-7803-0247-8, 0-7803-0248-6", ISBN-13 = "978-0-7803-0246-4, 978-0-7803-0247-1, 978-0-7803-0248-8", LCCN = "????", bibdate = "Sat Nov 29 10:08:17 2003", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE catalog no. 92CH3078-3.", acknowledgement = ack-nhfb, confdate = "3-6 May 1992", conflocation = "Boston, MA, USA", confsponsor = "IEEE", } @Proceedings{Swartzlander:1993:SCA, editor = "Earl {Swartzlander, Jr.} and Mary Jane Irwin and Graham Jullien", booktitle = "Proceedings: 11th Symposium on Computer Arithmetic, June 29--July 2, 1993, Windsor, Ontario", title = "Proceedings: 11th Symposium on Computer Arithmetic, June 29--July 2, 1993, Windsor, Ontario", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xii + 284", year = "1993", ISBN = "0-7803-1401-8 (softbound), 0-8186-3862-1 (casebound), 0-8186-3861-3 (microfiche)", ISBN-13 = "978-0-7803-1401-6 (softbound), 978-0-8186-3862-6 (casebound), 978-0-8186-3861-9 (microfiche)", ISSN = "0018-9340 (print), 1557-9956 (electronic)", ISSN-L = "0018-9340", LCCN = "QA 76.9 C62 S95 1993", bibdate = "Thu Sep 01 22:58:49 1994", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE Transactions on Computers {\bf 43(8)}, 1994", acknowledgement = ack-nhfb, keywords = "ARITH-11", } @Proceedings{Luk:1996:PSC, editor = "Franklin T. Luk", booktitle = "{Proceedings of the 1996 SPIE Conference on Advanced Signal Processing Algorithms, Architectures, and Implementations VI, 6--8 August, 1996, Denver, Colorado}", title = "{Proceedings of the 1996 SPIE Conference on Advanced Signal Processing Algorithms, Architectures, and Implementations VI, 6--8 August, 1996, Denver, Colorado}", volume = "2846", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "vii + 464", year = "1996", ISBN = "0-8194-2234-7", ISBN-13 = "978-0-8194-2234-7", LCCN = "????", bibdate = "Tue Jun 14 18:19:43 2011", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://spiedigitallibrary.org/proceedings/resource/2/psisdg/2846/1", acknowledgement = ack-nhfb, } @Proceedings{Lang:1997:ISC, editor = "Tomas Lang and Jean-Michel Muller and Naofumi Takagi", booktitle = "13th {IEEE} Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, {USA}", title = "13th {IEEE} Symposium on Computer Arithmetic: proceedings, July 6--9, 1997, Asilomar, California, {USA}", volume = "13", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xiii + 291", year = "1997", ISBN = "0-8186-7846-1, 0-8186-7847-X, 0-8186-7848-8", ISBN-13 = "978-0-8186-7846-2, 978-0-8186-7847-9, 978-0-8186-7848-6", ISSN = "1063-6889", LCCN = "QA76.9.C62 S95 1997", bibdate = "Fri Mar 27 09:56:17 MST 1998", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE Computer Society order number PR07846. IEEE Order Plan catalog number 97CB36091.", series = "Symposium on Computer Arithmetic", acknowledgement = ack-nhfb, keywords = "ARITH-13", sponsor = "IEEE.", } @Proceedings{Koren:1999:ISC, editor = "Israel Koren and Peter Kornerup", booktitle = "{14th IEEE Symposium on Computer Arithmetic: proceedings: April 14--16, 1999, Adelaide, Australia}", title = "{14th IEEE Symposium on Computer Arithmetic: proceedings: April 14--16, 1999, Adelaide, Australia}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xi + 274", year = "1999", DOI = "https://doi.org/10.1109/ARITH.1999.762854", ISBN = "0-7803-5609-8, 0-7695-0116-8, 0-7695-0118-4", ISBN-13 = "978-0-7803-5609-2, 978-0-7695-0116-1, 978-0-7695-0118-5", ISSN = "1063-6889", LCCN = "QA76.6 .S887 1999", bibdate = "Mon Feb 7 07:28:26 MST 2000", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE Computer Society Order Number PR00116. IEEE Order Plan Catalog Number 99CB36336.", URL = "http://computer.org/conferen/home/arith/; http://www.ecs.umass.edu/ece/arith14/program.html", acknowledgement = ack-nhfb, keywords = "ARITH-14", remark = "Also known as ARITH-14.", source = "Computer arithmetic", sponsor = "IEEE.", } @Proceedings{Bajard:2003:ISC, editor = "Jean Claude Bajard and Michael Schulte", booktitle = "{16th IEEE Symposium on Computer Arithmetic: ARITH-16 2003: proceedings: Santiago de Compostela, Spain, June 15--18, 2003}", title = "{16th IEEE Symposium on Computer Arithmetic: ARITH-16 2003: proceedings: Santiago de Compostela, Spain, June 15--18, 2003}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xii + 282", year = "2003", ISBN = "0-7695-1894-X", ISBN-13 = "978-0-7695-1894-7", ISSN = "1063-6889", LCCN = "QA76.6 .S919 2003", bibdate = "Sat Jul 20 17:45:12 2002", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "IEEE Computer Society order number PR01894. Selected papers republished in {\em IEEE Transactions on Computers}, {\bf 54}(3) (2005) \cite{Schulte:2005:GEI}.", URL = "http://www.dec.usc.es/arith16/; https://ieeexplore.ieee.org/servlet/opac?punumber=8582", acknowledgement = ack-nhfb, keywords = "ARITH-16", } @Proceedings{Montuschi:2005:PIS, editor = "Paolo Montuschi and Eric (Eric Mark) Schwarz", booktitle = "{Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17 2005, June 27--29, 2005, Cape Cod, Massachusetts, USA}", title = "{Proceedings of the 17th IEEE Symposium on Computer Arithmetic, ARITH-17 2005, June 27--29, 2005, Cape Cod, Massachusetts, USA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xii + 298", year = "2005", ISBN = "0-7695-2366-8", ISBN-13 = "978-0-7695-2366-8", LCCN = "QA76.9.C62 .S95 2005", bibdate = "Thu Sep 14 12:30:26 2006", bibsource = "http://arith17.polito.it/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARITH-17", } @Book{Muller:2006:EFA, author = "Jean-Michel Muller", booktitle = "Elementary Functions: Algorithms and Implementation", title = "Elementary Functions: Algorithms and Implementation", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, edition = "Second", pages = "xxii + 266", year = "2006", ISBN = "0-8176-4372-9", ISBN-13 = "978-0-8176-4372-0", LCCN = "QA331 .M866 2006", bibdate = "Fri Jul 25 12:00:55 1997", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/maple-extract.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; z3950.loc.gov:7090/Voyager", price = "US\$59.95", URL = "http://perso.ens-lyon.fr/jean-michel.muller/SecondEdition.html; http://www.springer.com/sgw/cda/frontpage/0,,4-40109-22-72377986-0,00.html", acknowledgement = ack-nhfb, subject = "Functions; Data processing; Algorithms", tableofcontents = "Preface to the second edition \\ Preface to the first edition \\ Introduction / 1--7 \\ Some basic things about computer arithmetic / 9--24 \\ Part I. Algorithms based on polynomial approximation and/or table lookup, multiple-precision evaluation of functions / 25--25 \\ Polynomial or rational approximations / 27--66 \\ Table-based methods / 67--87 \\ Multiple-precision evaluation of functions / 89--100 \\ Part II. Shift-and-add algorithms / 101--101 \\ Introduction to shift-and-add algorithms / 103--131 \\ The CORDIC algorithm / 133--156 \\ Some other shift-and-add algorithms / 157--169 \\ Part III. Range reduction, final rounding and exceptions / 171--171 \\ Range reduction / 173--191 \\ Final rounding / 193--216 \\ Miscellaneous / 217--223 \\ Examples of implementation / 225--232 \\ Bibliography / 233--259 \\ Index / 261--265", } @Proceedings{Woods:2008:RCA, editor = "Roger Woods and Katherine Compton and Christos Bouganis and Pedro C. Diniz", booktitle = "{Reconfigurable Computing: Architectures, Tools and Applications: 4th International Workshop, ARC 2008, London, UK, March 26--28, 2008. Proceedings}", title = "{Reconfigurable Computing: Architectures, Tools and Applications: 4th International Workshop, ARC 2008, London, UK, March 26--28, 2008. Proceedings}", volume = "4943", publisher = pub-SV, address = pub-SV:adr, bookpages = "xiv + 344", pages = "xiv + 344", year = "2008", DOI = "https://doi.org/10.1007/978-3-540-78610-85", ISBN = "3-540-78610-4", ISBN-13 = "978-3-540-78610-8", ISSN = "1611-3349", bibdate = "Tue Oct 28 07:04:09 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", series = ser-LNCS, acknowledgement = ack-nhfb, tableofcontents = "Intro \\ Title Page \\ Preface \\ Organization \\ Table of Contents \\ Synthesizing FPGA Circuits from Parallel Programs \\ From Silicon to Science: The Long Road to Production Reconfigurable Supercomputing \\ The von Neumann Syndrome and the CS Education Dilemma \\ Optimal Unroll Factor for Reconfigurable Architectures \\ Introduction \\ Background and Related Work \\ Problem Statement \\ Proposed Methodology \\ Experimental Results \\ Conclusion and Future Work \\ Programming Reconfigurable Decoupled Application Control Accelerator for Mobile Systems \\ Introduction \\ Architecture Reconfigurable Decoupled Application Control Architecture \\ Embedded Shared Memory Programming Model \\ Dynamic Aspects \\ Method Wrappers \\ Dynamic Execution \\ Memory Access Scheduling \\ Synthesis for Architecture \\ Related Work \\ Results \\ Mapping of the Deblocking Kernel on the DSPFabric \\ Conclusion \\ DNA Physical Mapping on a Reconfigurable Platform \\ Introduction \\ Related Work \\ DNA Physical Mapping \\ Consecutive Ones Problem and Algorithm \\ Hardware/Software Solution \\ Comparing Clones \\ Constructing Column Sets \\ Hybrid Implementations \\ Experimental Results \\ Conclusions and Future Research \\ Hardware BLAST Algorithms with Multi-seeds Detection and Parallel Extension \\ Introduction \\ BLAST Algorithm Overview \\ The Structure of Multi-seeds Detection and Parallel Extension Engine \\ Multi-seeds Detecting \\ Successive Seeds Merging \\ Multi-seeds Extension \\ FPGA Implementation and Optimization \\ Multi-seeds Detection Array \\ Decomposing the Detection Array \\ The Algorithm of Merging Successive Seeds \\ Multi-channel Parallel Extension Strategy \\ Experiments and Performance Comparison \\ Conclusion: Highly Space Efficient Counters for Perl Compatible Regular Expressions in FPGAs \\ Introduction \\ Related Work \\ Perl Compatible Regular Expressions Used in Network Intrusion Detection Systems \\ Our Proposed 20-Bit SelectRAM Counter \\ A PCRE Exactly Block Based on the 20-Bit SelectRAM Counter \\ A PCRE AtLeast Block Using the Proposed SelectRAM Counter \\ A PCRE Between Block Using the 20-Bit SelectRAM Counter \\ Kleene Star and Plus Blocks \\ Performance Evaluation and Comparison \\ Conclusions \\ A Custom Processor for a TDMA Solver in a CFD Application \\ Introduction \\ CFD \\ The Problem High-Level Transformations \\ Example of Scheduling \\ Memory Requirements \\ The FPGA-Based Platform \\ Hardware Implementation \\ Address Generation \\ Cache Memory \\ Execution Units \\ Results and Conclusions \\ A High Throughput FPGA-Based Floating Point Conjugate Gradient Implementation \\ Introduction \\ Background \\ Conjugate Gradient Method \\ Algorithm Description \\ Implementation \\ Overview \\ Performance \\ Floating Point Unit Operations \\ Results \\ Resource Utilization \\ Software Comparison and Discussion \\ Input/Ouput Considerations \\ Conclusions", } @Proceedings{Bruguera:2009:PIS, editor = "Javier D. Bruguera and Marius Cornea and Debjit DasSarma and John Harrison", booktitle = "{Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA}", title = "{Proceedings of the 19th IEEE Symposium on Computer Arithmetic, June 8--10, 2009, Portland, Oregon, USA}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xi + 235", year = "2009", ISBN = "0-7695-3670-0, 1-4244-4329-6", ISBN-13 = "978-0-7695-3670-5, 978-1-4244-4329-1", ISSN = "1063-6889", LCCN = "QA76.6 .S887 2009", bibdate = "Fri Jun 12 12:24:37 2009", bibsource = "http://www.ac.usc.es/arith19/; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/cryptography2000.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/master.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", URL = "http://www.ac.usc.es/arith19/", acknowledgement = ack-nhfb, keywords = "ARITH-19", tableofcontents = "Keynote Talk \\ Anton: A Specialized Machine for Millisecond-Scale Molecular Dynamics Simulations of Proteins / David E. Shaw / 3 \\ Session 1: Algorithms and Number Systems \\ Efficient Data Structure and Algorithms for Sparse Integers, Sets and Predicates / Jean E. Vuillemin / 7 \\ A Dual-Purpose Real/Complex Logarithmic Number System ALU / Mark G. Arnold and Sylvain Collange / 15 \\ Selected RNS Bases for Modular Multiplication / J. C. Bajard, M. Kaihara, and T. Plantard / 25 \\ Invited Talk \\ A Historical Perspective on Computer Arithmetic / Stanley Mazor / 35 \\ Session 2: Arithmetic Hardware \\ Higher Radix Squaring Operations Employing Left-to-Right Dual Recoding / David W. Matula / 39 \\ Advanced Clockgating Schemes for Fused-Multiply-Add-Type Floating-Point Units / Jochen Preiss, Maarten Boersma, and Silvia Melitta Mueller / 48 \\ Unified Approach to the Design of Modulo-$(2^n \pm 1)$ Adders Based on Signed-LSB Representation of Residues / Ghassem Jaberipur and Behrooz Parhami / 57 \\ Session 3: Finite Fields and Cryptography \\ Subquadratic Space Complexity Multiplier for a Class of Binary Fields Using Toeplitz Matrix Approach / M. A. Hasan and C. Negre / 67 \\ Hybrid Binary-Ternary Joint Form and Its Application in Elliptic Curve / Cryptography / Jithra Adikari, Vassil Dimitrov, and Laurent Imbert / 76 \\ Polynomial Multiplication over Finite Fields Using Field Extensions and Interpolation / Murat Cenk, Cetin Kaya Koc, and Ferruh Ozbudak / 84 \\ Session 4: Mathematical Software \\ A New Binary Floating-Point Division Algorithm and Its Software Implementation on the ST231 Processor / Claude-Pierre Jeannerod, Herve Knochel, Christophe Monat, Guillaume Revy, and Gilles Villard / 95 \\ Fast and Accurate Bessel Function Computation / John Harrison / 104 \\ Implementation Specific Verification of Divide and Square Root Instructions / Elena Guralnik, Ariel J. Birnbaum, Anatoly Koyfinan, and Avi Kaplan / 114 \\ Session 5: Decimal Hardware \\ A Decimal Floating-Point Adder with Decoded Operands and a Decimal Leading-Zero Anticipator / Liang-Kai Wang and Michael J. Schulte / 125 \\ A High-Performance Significand BCD Adder with IEEE 754-2008 Decimal Rounding / Alvaro Vazquez and Elisardo Antelo / 135 \\ Fully Redundant Decimal Arithmetic / Saeid Gorgin and Ghassem Jaberipur / 145 \\ Session 6: Floating-Point Techniques \\ On the Computation of Correctly-Rounded Sums / P. Kornerup, V. Lefevre, N. Louvet, and Jean-Michel Muller / 155 \\ Multi-operand Floating-Point Addition / Alexandre F. Tenca / 161 \\ Certified and Fast Computation of Supremum Norms of Approximation Errors / Sylvain Chevillard, Mioara Jolde{\c{s}}, and Christoph Lauter / 169 \\ Session 7: Decimal Transcendentals \\ Computation of Decimal Transcendental Functions Using the CORDIC Algorithm / {\'A}lvaro V{\'a}zquez, Julio Villalba, and Elisardo Antelo / 179 \\ Decimal Transcendentals via Binary / John Harrison / 187 \\ A 32-bit Decimal Floating-Point Logarithmic Converter / Dongdong Chen, Yu Zhang, Younhee Choi, Moon Ho Lee, and Seok-Bum Ko / 195 \\ Special Session on Automated Synthesis of Arithmetic Operations \\ Datapath Synthesis for Standard-Cell Design / Reto Zimmermann / 207 \\ Design Space Exploration for Power-Efficient Mixed-Radix Ling Adders / Chung-Kuan Cheng / 212 \\ Challenges in Automatic Optimization of Arithmetic Circuits / Ajay K. Verma, Philip Brisk, and Paolo Ienne / 213 \\ Panel on Decimal Arithmetic in Industry \\ Energy and Delay Improvement via Decimal Floating Point Units / Hossam A. H. Fahmy, Ramy Raafat, Amira M. Abdel-Majeed, Rodina Samy, Torek ElDeeb, and Yasmin Farouk / 221 \\ IEEE 754-2008 Decimal Floating-Point for Intel Architecture Processors / Marius Cornea / 225 \\ Special Session on Interval Arithmetic \\ IEEE Interval Standard Working Group --- P1788: Current Status / William Edmonson and Guillaume Melquiond / 231 \\ Author Index", } @Proceedings{Muller:2015:ISC, editor = "Jean-Michel Muller and Arnaud Tisserand and Julio Villalba", booktitle = "{2015 IEEE 22nd Symposium on Computer Arithmetic (ARITH 2015) Lyon, France, 22--24 June 2015}", title = "{2015 IEEE 22nd Symposium on Computer Arithmetic (ARITH 2015) Lyon, France, 22--24 June 2015}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xii + 176", year = "2015", ISBN = "1-4799-8665-8, 1-4799-8663-1", ISBN-13 = "978-1-4799-8665-1, 978-1-4799-8663-7", ISSN = "1063-6889", LCCN = "QA76.9.C62 S95 2015", bibdate = "Sat Aug 01 08:03:11 2015", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/mathcw.bib", URL = "https://ieeexplore.ieee.org/servlet/opac?punumber=7193754", acknowledgement = ack-nhfb, keywords = "ARITH-22; computer arithmetic units; correctness proofs; cryptography; domain specific designs; error analysis; exascale computing; floating point arithmetic; floating-point error analysis; formal verification; function approximation; modular arithmetic; theorem proving; verification", } @Proceedings{Burgess:2017:ISC, editor = "Neil Burgess and Javier Bruguera and Florent de Dinechin", booktitle = "{24th IEEE Symposium on Computer Arithmetic (ARITH 24), London, UK, 24--26 July 2017}", title = "{2017 IEEE 24th Symposium on Computer Arithmetic (ARITH 24), London, UK, 24--26 July 2017}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xii + 198", year = "2017", ISBN = "1-5386-1966-0 (print), 1-5386-1965-2, 1-5386-1964-4", ISBN-13 = "978-1-5386-1966-7 (print), 978-1-5386-1965-0, 978-1-5386-1964-3", ISSN = "1063-6889", LCCN = "QA76.9.C62 S95 2017", bibdate = "Fri Nov 17 10:14:11 2017", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/gnu.bib", URL = "https://ieeexplore.ieee.org/servlet/opac?punumber=8019911", acknowledgement = ack-nhfb, keywords = "ARITH-24; computer arithmetic units; correctness proofs; cryptography; domain specific designs; error analysis; exascale computing; floating point arithmetic; floating-point error analysis; formal verification; function approximation; modular arithmetic; theorem proving; verification", } @Proceedings{Cornea:2020:ISC, editor = "Marius Cornea and Weiqiang Liu and Arnaud Tisserand", booktitle = "{2020 27th IEEE Symposium on Computer Arithmetic: ARITH 2020: proceedings: Portland, Oregon, USA, 7--10 June 2020}", title = "{2020 27th IEEE Symposium on Computer Arithmetic: ARITH 2020: proceedings: Portland, Oregon, USA, 7--10 June 2020}", publisher = pub-IEEE, address = pub-IEEE:adr, year = "2020", DOI = "https://doi.org/10.1109/ARITH48897.2020", ISBN = "1-72817-120-2, 1-72817-121-0", ISBN-13 = "978-1-72817-120-3, 978-1-72817-121-0", LCCN = "????", bibdate = "Wed Jul 7 06:23:45 MDT 2021", bibsource = "fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/benfords-law.bib; https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://ieeexplore.ieee.org/servlet/opac?punumber=9146973", acknowledgement = ack-nhfb, keywords = "ARITH-27", } @Proceedings{IEEE:2024:PIS, editor = "{IEEE}", booktitle = "Proceedings: {2024 IEEE 31st Symposium on Computer Arithmetic: ARITH 2024, 10--12 June 2024, M{\'a}laga, Spain}", title = "Proceedings: {2024 IEEE 31st Symposium on Computer Arithmetic: ARITH 2024, 10--12 June 2024, M{\'a}laga, Spain}", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "147", pages = "147", year = "2024", DOI = "https://doi.org/10.1109/ARITH61463.2024", ISBN-13 = "979-83-503-8432-1, 979-83-503-8433-8", ISSN = "2576-2265 (electronic), 1063-6889 (print-on-demand)", LCCN = "QA76.9.C62 .I578 2024", bibdate = "Thu Nov 13 11:32:36 2025", bibsource = "https://www.math.utah.edu/pub/tex/bib/cordic.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "https://ieeexplore.ieee.org/xpl/conhome/10579097/proceeding", acknowledgement = ack-nhfb, keywords = "ARITH 2024; ARITH-31", }