메뉴 건너뛰기




Volumn 39, Issue 5, 1991, Pages 1136-1145

Recursive Updating the Eigenvalue Decomposition of a Covariance Matrix

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTION FINDING SYSTEMS; MATHEMATICAL STATISTICS - RANDOM NUMBER GENERATION; MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; SPECTRUM ANALYSIS;

EID: 0026157790     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.80968     Document Type: Article
Times cited : (83)

References (32)
  • 1
    • 0020167422 scopus 로고
    • Singular value decomposition and improved frequency estimation using linear prediction
    • M. A. Rahman and KB. Yu. “Total least squares approach for frequency estimation using linear prediction,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 10, pp. 1440-1454, Oct. 1987.
    • D. W. Tufts and R. Kumaresan. “Singular value decomposition and improved frequency estimation using linear prediction,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-30. pp. 671-675, Aug. 1982. (2] M. A. Rahman and KB. Yu. “Total least squares approach for frequency estimation using linear prediction,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 10, pp. 1440-1454, Oct. 1987.
    • (1987) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-30 , Issue.10 , pp. 671-675
    • Tufts, D.W.1    Kumaresan, R.2
  • 2
    • 0003796920 scopus 로고
    • A signal subspace approach to multiple emitter location and spectral estimation
    • Ph.D. dissertation, Stanford Univ., Stanford, CA, Nov.
    • R. O. Schmidt, “A signal subspace approach to multiple emitter location and spectral estimation,” Ph.D. dissertation, Stanford Univ., Stanford, CA, Nov. 1981.
    • (1981)
    • Schmidt, R.O.1
  • 4
    • 0001070999 scopus 로고
    • Some modified matrix eigenvalue problems
    • G. H. Golub. “Some modified matrix eigenvalue problems,” SIAM Rev., vol. 15. pp. 318-334, 1973.
    • (1973) SIAM Rev. , vol.15 , pp. 318-334
    • Golub, G.H.1
  • 5
    • 0002316189 scopus 로고
    • Rank-one modification of the symmetric eigenproblem.
    • J. R. Bunch. C. P. Nielson, and D. C. Sorensen, “Rank-one modification of the symmetric eigenproblem.” Numer. Math., vol. 3 1. pp. 31-48, 1978.
    • (1978) Numer. Math. , vol.3 , pp. 31-48
    • Bunch, J.R.1    Nielson, C.P.2    Sorensen, D.C.3
  • 6
    • 84941548829 scopus 로고
    • Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems.
    • Feb.
    • C. Beattie and D. Fox. “Schur complements and the Weinstein-Aronszajn theory for modified matrix eigenvalue problems.” Univ. Minnesota Supercomputer Institute. Tech. Rep., Feb. 1987.
    • (1987) Univ. Minnesota Supercomputer Institute. Tech. Rep.
    • Beattie, C.1    Fox, D.2
  • 7
    • 0000417182 scopus 로고
    • A fully parallel algorithm for the symmetric eigenvalue problem
    • Mar.
    • J. J. Dongarra and D. C. Sorensen, “A fully parallel algorithm for the symmetric eigenvalue problem,” SIAM J. Sci. Stat. Comput., vol. 8, no. 2, pp. S.139-S.154, Mar. 1987.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , Issue.2 , pp. S.139-S.154
    • Dongarra, J.J.1    Sorensen, D.C.2
  • 8
    • 0000659575 scopus 로고
    • A divide and conquer method for the symmetric tri- diagonal eigenproblem
    • J. M. Cuppen, “A divide and conquer method for the symmetric tri- diagonal eigenproblem,” Numer. Math., vol. 36, pp. 177-195, 1981.
    • (1981) Numer. Math. , vol.36 , pp. 177-195
    • Cuppen, J.M.1
  • 10
    • 0022794411 scopus 로고
    • Implementation of adaptive array algorithms
    • Oct.
    • R. Schreiber, “Implementation of adaptive array algorithms,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 1038-1045, Oct. 1986.
    • (1986) IEEE Trans. Acoust., Speech, Signal Processing , vol.ASSP-34 , pp. 1038-1045
    • Schreiber, R.1
  • 13
    • 84914789334 scopus 로고
    • Highly parallel eigenvector update methods with application to signal processing
    • R. D. DeGroat and R. A. Roberts, “Highly parallel eigenvector update methods with application to signal processing,” Proc. SPIE Int. Soc. Opt. Eng., vol. 696, pp. 62-70, 1986.
    • (1986) Proc. SPIE Int. Soc. Opt. Eng. , vol.696 , pp. 62-70
    • DeGroat, R.D.1    Roberts, R.A.2
  • 14
    • 0023244492 scopus 로고
    • An improved, highly parallel rank-one eigenvector update method with signal processing application
    • Apr.
    • R. D. DeGroat and R. A. Roberts, “An improved, highly parallel rank-one eigenvector update method with signal processing application,” in Proc. ICASSP 87, Apr. 1987, pp. 1859-1862.
    • (1862) Proc. ICASSP 87 , pp. 1859-1862
    • DeGroat, R.D.1    Roberts, R.A.2
  • 15
    • 30244494921 scopus 로고
    • A family of rank-one eigenstructure updating methods
    • (Pacific Grove, CA), Nov.
    • R. D. DeGroat and R. A. Roberts, “A family of rank-one eigenstructure updating methods,” in Proc. 21st Asilomar Conf. Circuits, Syst., Comput. (Pacific Grove, CA), Nov. 1987, pp. 564-568.
    • (1987) Proc. 21st Asilomar Conf. Circuits Syst., Comput , pp. 564-568
    • DeGroat, R.D.1    Roberts, R.A.2
  • 16
    • 84941528165 scopus 로고
    • Fast recursive/iterative Toeplitz eigenspace decomposition
    • I. T. Young et al., Eds. NortH-Holland
    • A. A. Beex, “Fast recursive/iterative Toeplitz eigenspace decomposition,” in Proc. EURASIP, I. T. Young et al., Eds. NortH-Holland, 1986, pp. 1001-1004.
    • (1986) Proc. EURASIP , pp. 1001-1004
    • Beex, A.A.1
  • 17
    • 84941548833 scopus 로고
    • Efficient generalized Toeplitz eigenspace decomposition
    • (Pacific Grove, CA), Nov. 2-4
    • M. F. Fargues and A. A. Beex, “Efficient generalized Toeplitz eigenspace decomposition,” in Proc. 21st Asilomar Conf. Signals, Syst., Comput. (Pacific Grove, CA), Nov. 2-4, 1987, pp. 569-573.
    • (1987) Proc. 21st Asilomar Conf. Signals Syst., Comput , pp. 569-573
    • Fargues, M.F.1    Beex, A.A.2
  • 18
    • 0023978011 scopus 로고
    • Bounds on the extreme eigenvalues of positive-definite Toeplitz matrices
    • Mar.
    • A. Dembo, “Bounds on the extreme eigenvalues of positive-definite Toeplitz matrices,” IEEE Trans. Inform. Theory, vol. 34, no. 2, pp. 352-355, Mar. 1988.
    • (1988) IEEE Trans. Inform. Theory , vol.34 , Issue.2 , pp. 352-355
    • Dembo, A.1
  • 19
    • 0023757969 scopus 로고
    • Adaptive rank-2 update algorithm for eigenvalue decomposition
    • (New York, NY), Apr.
    • G. Li and K.-B. Yu, “Adaptive rank-2 update algorithm for eigenvalue decomposition,” in Proc. ICASSP 88 (New York, NY), Apr. 1988, pp. 1510-1513.
    • (1513) Proc. ICASSP 88 , pp. 1510-1513
    • Li, G.1    Yu, K.B.2
  • 22
    • 0003801534 scopus 로고
    • IMSL
    • The IMSL Library, vol. 2, IMSL, 1982.
    • (1982) The IMSL Library , vol.2
  • 23
    • 0003595562 scopus 로고
    • 2nd ed. (Lecture Notes in Science). New York: Springer
    • B. T. Smith et al., Matrix Eigensystem Routines-EISPACK Guide, vol. 6, 2nd ed. (Lecture Notes in Science). New York: Springer, 1976.
    • (1976) Matrix Eigensystem Routines-EISPACK Guide , vol.6
    • Smith, B.T.1
  • 24
    • 0004271918 scopus 로고
    • Handbook for Automatic Computation. New York: Springer
    • J. H. Wilkinson and C. Reinsch, Linear Algebra, vol. II, Handbook for Automatic Computation. New York: Springer, 1976.
    • (1976) Linear Algebra , vol.2
    • Wilkinson, J.H.1    Reinsch, C.2
  • 26
    • 0003382586 scopus 로고
    • Approximation methods for eigenvalues of completely continuous symmetric operators
    • (Stillwater, OK)
    • N. Aronszajn, “Approximation methods for eigenvalues of completely continuous symmetric operators,” in Proc. Symp. Spectral Theory Differential Problems (Stillwater, OK), 1951, pp. 179-202.
    • (1951) Proc. Symp. Spectral Theory Differential Problems , pp. 179-202
    • Aronszajn, N.1
  • 30
    • 0000333571 scopus 로고
    • An analysis of the total least squares problem
    • Dec.
    • G. H. Golub and C. Van Loan, “An analysis of the total least squares problem,” SIAM J. Numer. Anal., vol. 17, no. 6, pp. 883-893, Dec. 1980.
    • (1980) SIAM J. Numer. Anal. , vol.17 , Issue.6 , pp. 883-893
    • Golub, G.H.1    Van Loan, C.2
  • 31
    • 84941534458 scopus 로고
    • Efficient, parallel adaptive eigen-based techniques for frequency or direction-of-arrival estimation and tracking
    • (Rochester NY) Oct.
    • K.-B. Yu, “Efficient, parallel adaptive eigen-based techniques for frequency or direction-of-arrival estimation and tracking,” in Proc. Fifth ASSP Workshop Spectrum Estimation Modeling (Rochester NY), Oct. 10-12, 1990, pp. 347-351.
    • (1990) Proc. Fifth ASSP Workshop Spectrum Estimation Modeling , pp. 347-351
    • Yu, K.B.1
  • 32
    • 84941548835 scopus 로고
    • Recursive eigendecomposition for high-resolution multiple target angle tracking
    • Nov.
    • K.-B. Yu, “Recursive eigendecomposition for high-resolution multiple target angle tracking,” GE Tech. Inform. Ser, Rep. 90 CRD 227, Nov. 1990.
    • (1990) GE Tech. Inform. Ser Rep. 90 CRD 227
    • Yu, K.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.