메뉴 건너뛰기




Volumn 43, Issue 8, 1994, Pages 941-954

Redundant and On-Line CORDIC for Unitary Transformations

Author keywords

CORDIC; redundant and on line CORDIC unitary transformations; redundant arithmetic; VLSI

Indexed keywords

ALGORITHMS; CELLULAR ARRAYS; COMPUTATIONAL COMPLEXITY; COMPUTER ARCHITECTURE; DIGITAL ARITHMETIC; EIGENVALUES AND EIGENFUNCTIONS; LOGIC GATES; MATHEMATICAL TRANSFORMATIONS; ONLINE SYSTEMS; REDUNDANCY; VLSI CIRCUITS;

EID: 0028483470     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.295856     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0019928904 scopus 로고
    • Highly concurrent computing structures for matrix arithmetic and signal processing
    • H. M. Ahmed, J. M. Delosme, and M. Morf, “Highly concurrent computing structures for matrix arithmetic and signal processing,” IEEE Comput., vol. 15, no. 1, pp. 65-82, 1982.
    • (1982) IEEE Comput. , vol.15 , Issue.1 , pp. 65-82
    • Ahmed, H.M.1    Delosme, J.M.2    Morf, M.3
  • 2
    • 0002115256 scopus 로고
    • The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays
    • R. P. Brent and F. T. Luk, “The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays,” SIAM J. Sci. Stat. Comput., vol. 6, no. 1, pp. 69-84, 1985.
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , Issue.1 , pp. 69-84
    • Brent, R.P.1    Luk, F.T.2
  • 3
    • 0021822541 scopus 로고
    • Computation of the singular value decomposition using mesh-connected processors
    • R. P. Brent, F. T. Luk and C. F. Van Loan, “Computation of the singular value decomposition using mesh-connected processors,” J. VLSI Comput. Syst., vol. 1, no. 3, pp. 242-270, 1985.
    • (1985) J. VLSI Comput. Syst. , vol.1 , Issue.3 , pp. 242-270
    • Brent, R.P.1    Luk, F.T.2    Van Loan, C.F.3
  • 4
    • 61849182026 scopus 로고
    • Computing eigenvalues of non-Hermitian matrices by methods of Jacobi type
    • R. L. Causey, “Computing eigenvalues of non-Hermitian matrices by methods of Jacobi type,” J. Soc. Indust. Appl. Math., vol. 6, no. 2, pp. 172-181, 1958.
    • (1958) J. Soc. Indust. Appl. Math. , vol.6 , Issue.2 , pp. 172-181
    • Causey, R.L.1
  • 5
    • 0343420025 scopus 로고
    • A CORDIC processor array for the SVD of a complex matrix
    • J. R. Cavallaro and A. C. Elster, “A CORDIC processor array for the SVD of a complex matrix,” in SVD and Signal Processing II (Algorithms, Analysis and Applications), R. Vaccaro, Ed. New York: Elsevier, 1991, pp. 227-239.
    • (1991) SVD and Signal Processing II (Algorithms , pp. 227-239
    • Cavallaro, J.R.1    Elster, A.C.2
  • 6
    • 0024029272 scopus 로고
    • CORDIC arithmetic for an SVD processor
    • J. R. Cavallaro and F. T. Luk, “CORDIC arithmetic for an SVD processor,” J. Parallel Distrib. Comput., vol. 5, no. 3, pp. 271-290, 1988.
    • (1988) J. Parallel Distrib. Comput. , vol.5 , Issue.3 , pp. 271-290
    • Cavallaro, J.R.1    Luk, F.T.2
  • 7
    • 0342550186 scopus 로고
    • Decimal-binary conversions in CORDIC
    • D. Daggett, “Decimal-binary conversions in CORDIC,” IRE Trans. Electron. Comput., vol. EC-8, no. 3, pp. 335-339, 1959.
    • (1959) IRE Trans. Electron. Comput. , vol.EC-8 , Issue.3 , pp. 335-339
    • Daggett, D.1
  • 8
    • 0003090448 scopus 로고
    • A processor for two-dimensional symmetric eigenvalue and singular value arrays
    • J. M. Delosme, “A processor for two-dimensional symmetric eigenvalue and singular value arrays,” in IEEE 21th Asilomar Conf. Circuits, Syst. and Comput., 1987, pp. 217-221.
    • (1987) IEEE 21th Asilomar Conf. Circuits , pp. 217-221
    • Delosme, J.M.1
  • 9
    • 84936405119 scopus 로고
    • Parallel implementations of the SVD using implicit CORDIC arithmetic
    • J. M. Delosme, “Parallel implementations of the SVD using implicit CORDIC arithmetic,” in SVD and Signal Processing II (Algorithms, Analysis and Applications), R. Vaccaro, Ed. New York: Elsevier, 1991, pp. 33-56.
    • (1991) SVD and Signal Processing II (Algorithms , pp. 33-56
    • Delosme, J.M.1
  • 10
    • 0026105510 scopus 로고
    • Parallel VLSI matrix pencil algorithm for high resolution direction finding
    • E. F. Deprettere and A.-J. van der Veen, “Parallel VLSI matrix pencil algorithm for high resolution direction finding,” IEEE Trans. Signal Processing, vol. 39, pp. 383-394, 1991.
    • (1991) IEEE Trans. Signal Processing , vol.39 , pp. 383-394
    • Deprettere, E.F.1    van der Veen, A.-J.2
  • 11
    • 0016115184 scopus 로고
    • Fourier transform computers using CORDIC iterations
    • A. M. Despain, “Fourier transform computers using CORDIC iterations,” IEEE Trans. Comput., vol. C-23, no. 10, pp. 993-1001, 1974.
    • (1974) IEEE Trans. Comput. , vol.C-23 , Issue.10 , pp. 993-1001
    • Despain, A.M.1
  • 12
    • 0023287437 scopus 로고
    • On the Schur decomposition of a matrix for parallel computation
    • P. J. Eberlein, “On the Schur decomposition of a matrix for parallel computation,” IEEE Trans. Comput., vol. C-36, no. 2, pp. 167-174, 1987.
    • (1987) IEEE Trans. Comput. , vol.C-36 , Issue.2 , pp. 167-174
    • Eberlein, P.J.1
  • 13
    • 0025444846 scopus 로고
    • Redundant and on-line CORDIC: Application to matrix triangularization and SVD
    • M. D. Ercegovac and T. Lang, “Redundant and on-line CORDIC: Application to matrix triangularization and SVD,” IEEE Trans. Comput., vol. 39, no. 6, pp. 725-740, 1990.
    • (1990) IEEE Trans. Comput. , vol.39 , Issue.6 , pp. 725-740
    • Ercegovac, M.D.1    Lang, T.2
  • 14
    • 84967689571 scopus 로고
    • The cyclic Jacobi method for computing the principal values of a complex matrix
    • G. E. Forsythe and P. Henrici, “The cyclic Jacobi method for computing the principal values of a complex matrix,” Trans. Amer. Math. Soc., vol. 94, no. 1, pp. 1-23, 1960.
    • (1960) Trans. Amer. Math. Soc. , vol.94 , Issue.1 , pp. 1-23
    • Forsythe, G.E.1    Henrici, P.2
  • 15
  • 16
    • 84939715205 scopus 로고
    • A CORDIC arithmetic processor chip
    • G. L. Haviland and A. A. Tuszynski, “A CORDIC arithmetic processor chip,” IEEE Trans. Comput., vol. C-29, no. 2, pp. 68-79, 1980.
    • (1980) IEEE Trans. Comput. , vol.C-29 , Issue.2 , pp. 68-79
    • Haviland, G.L.1    Tuszynski, A.A.2
  • 17
    • 84943131870 scopus 로고
    • An efficient parallel implementation of the Jacobi SVD algorithm for arbitrary matrices
    • Aug.
    • N. D. Hemkumar and J. R. Cavallaro, “An efficient parallel implementation of the Jacobi SVD algorithm for arbitrary matrices,” Preprint 93-077, AHPCRC, Univ. Minnesota, Minneapolis, MN, Aug. 1993. SIAM J. Matrix Anal. Appl., (in second review).
    • (1993) Preprint 93-077
    • Hemkumar, N.D.1    Cavallaro, J.R.2
  • 19
    • 84972511450 scopus 로고
    • Complex arithmetic through CORDIC
    • S. Hitotumatu, “Complex arithmetic through CORDIC,” Kodai Math. Sem. Rep., vol. 26, pp. 176-186, 1975.
    • (1975) Kodai Math. Sem. Rep. , vol.26 , pp. 176-186
    • Hitotumatu, S.1
  • 20
    • 0025888014 scopus 로고
    • Expanding the range of convergence of the CORDIC algorithm
    • X. Hu, R. G. Harber, and S. C. Bass, “Expanding the range of convergence of the CORDIC algorithm,” IEEE Trans. Comput., vol. 40, no. 1, pp. 13-21, 1991.
    • (1991) IEEE Trans. Comput. , vol.40 , Issue.1 , pp. 13-21
    • Hu, X.1    Harber, R.G.2    Bass, S.C.3
  • 21
    • 0020167422 scopus 로고
    • Singular value decomposition and improved frequency estimation using linear prediction
    • R. Kumaresan and D. W. Tufts, “Singular value decomposition and improved frequency estimation using linear prediction,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30, no. 4, pp. 671-675, 1982.
    • (1982) IEEE Trans. Acoust. , vol.ASSP-30 , Issue.4 , pp. 671-675
    • Kumaresan, R.1    Tufts, D.W.2
  • 22
    • 0026169267 scopus 로고
    • SVD by constant-factor-redundant CORDIC
    • June
    • J. Lee and T. Lang, “SVD by constant-factor-redundant CORDIC,” in Proc. IEEE 10th Symp. Comput. Arithmetic, Grenoble, France, June 1991, pp. 264-271.
    • (1991) Proc. IEEE 10th Symp. Comput. Arithmetic , pp. 264-271
    • Lee, J.1    Lang, T.2
  • 23
    • 0026908898 scopus 로고
    • Constant-factor redundant CORDIC for angle calculation and rotation
    • J. Lee and T. Lang, “Constant-factor redundant CORDIC for angle calculation and rotation,” IEEE Trans. Comput., vol. 41, no. 8, pp. 1016-1025, 1992.
    • (1992) IEEE Trans. Comput. , vol.41 , Issue.8 , pp. 1016-1025
    • Lee, J.1    Lang, T.2
  • 24
    • 38249040523 scopus 로고
    • A triangular processor array for computing singular values
    • F. T. Luk, “A triangular processor array for computing singular values,” J. Linear Algebra Appl., vol. 77, pp. 259-273, 1986.
    • (1986) J. Linear Algebra Appl. , vol.77 , pp. 259-273
    • Luk, F.T.1
  • 26
    • 0000191233 scopus 로고
    • A Jacobi-like algorithm for computing the Schur decomposition of a non-Hermitian Matrix
    • G. W. Stewart, “A Jacobi-like algorithm for computing the Schur decomposition of a non-Hermitian Matrix,” SIAM J. Sci. Stat. Comput., vol. 6, no. 4, pp. 853-864, 1985.
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , Issue.4 , pp. 853-864
    • Stewart, G.W.1
  • 27
    • 84941863581 scopus 로고
    • Redundant CORDIC a constant scale factor for sine and cosine computation
    • N. Takagi, T. Asada, and S. Yajima, “Redundant CORDIC a constant scale factor for sine and cosine computation,” IEEE Trans. Comput., vol. 40, no. 9, pp. 989-995, 1991.
    • (1991) IEEE Trans. Comput. , vol.40 , Issue.9 , pp. 989-995
    • Takagi, N.1    Asada, T.2    Yajima, S.3
  • 28
    • 84919346176 scopus 로고
    • The CORDIC trigonometric computing technique
    • J. Voider, “The CORDIC trigonometric computing technique,” IRE Trans. Electronic Comput., vol. EC-8, no. 3, pp. 330-334, 1959.
    • (1959) IRE Trans. Electronic Comput. , vol.EC-8 , Issue.3 , pp. 330-334
    • Voider, J.1
  • 29
    • 0001500758 scopus 로고
    • A unified algorithm for elementary functions
    • J. S. Walther, “A unified algorithm for elementary functions,” AFIPS Spring Joint Comput. Conf., pp. 379-385, 1971.
    • (1971) AFIPS Spring Joint Comput. Conf. , pp. 379-385
    • Walther, J.S.1
  • 30
    • 0343420023 scopus 로고
    • Reducing the computations of the SVD array given by Brent and Luk
    • B. Yang and J. F. Bohme, “Reducing the computations of the SVD array given by Brent and Luk,” SIAM J. Matrix Anal. Appl., vol. 12, no. 4, pp. 713-725, 1991.
    • (1991) SIAM J. Matrix Anal. Appl. , vol.12 , Issue.4 , pp. 713-725
    • Yang, B.1    Bohme, J.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.