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Volumn 55, Issue 11, 2007, Pages 5299-5308

Nonorthogonal joint diagonalization algorithm based on trigonometric parameterization

Author keywords

Blind source separation; Independent component analysis; Joint diagonalization

Indexed keywords

COMPUTATIONAL EFFICIENCY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; INDEPENDENT COMPONENT ANALYSIS; MATRIX ALGEBRA; PARAMETERIZATION;

EID: 36248958593     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.899378     Document Type: Article
Times cited : (18)

References (25)
  • 1
    • 0030544243 scopus 로고    scopus 로고
    • Jacobi angles for simultaneous diagonalization
    • J.-F. Cardoso and A. Souloumiac, "Jacobi angles for simultaneous diagonalization," SIAM J. Mat. Anal. Appl., vol. 17, pp. 161-164, 1996.
    • (1996) SIAM J. Mat. Anal. Appl , vol.17 , pp. 161-164
    • Cardoso, J.-F.1    Souloumiac, A.2
  • 2
    • 36248948363 scopus 로고    scopus 로고
    • A. Ziehe, M. Kawanabe, S. Harmeling, and K.-R. Müller, A fast algorithm for joint diagonalization with non-orthogonal transformations and its application to blind source separation, J. Machine Learning Res., 5, no. Jul, pp. 801-818, 2004.
    • A. Ziehe, M. Kawanabe, S. Harmeling, and K.-R. Müller, "A fast algorithm for joint diagonalization with non-orthogonal transformations and its application to blind source separation," J. Machine Learning Res., vol. 5, no. Jul, pp. 801-818, 2004.
  • 3
    • 0035537406 scopus 로고    scopus 로고
    • Joint approximate diagonalization of positive definite Hermitian matrices
    • D. T. Pham, "Joint approximate diagonalization of positive definite Hermitian matrices," SIAM J. Matrix Anal. Appl., vol. 22, pp. 1136-1152, 2001.
    • (2001) SIAM J. Matrix Anal. Appl , vol.22 , pp. 1136-1152
    • Pham, D.T.1
  • 4
    • 30444446914 scopus 로고    scopus 로고
    • A new joint diagonalization algorithm with application in blind source separation
    • Jan
    • F. Wang, C. Liu, and J. Zhang, "A new joint diagonalization algorithm with application in blind source separation," IEEE Signal Process. Lett., vol. 13, no. 1, pp. 41-44, Jan. 2006.
    • (2006) IEEE Signal Process. Lett , vol.13 , Issue.1 , pp. 41-44
    • Wang, F.1    Liu, C.2    Zhang, J.3
  • 5
    • 0036648367 scopus 로고    scopus 로고
    • Non-orthogonal joint diagonalization in the least-squares sense with application in blind source separation
    • Jul
    • A. Yeredor, "Non-orthogonal joint diagonalization in the least-squares sense with application in blind source separation," IEEE Trans. Signal Process., vol. 50, no. 7, pp. 1545-1553, Jul. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.7 , pp. 1545-1553
    • Yeredor, A.1
  • 6
    • 27644499227 scopus 로고    scopus 로고
    • On using exact joint diagonalization for noniterative approximate joint diagonalization
    • Sep
    • A. Yeredor, "On using exact joint diagonalization for noniterative approximate joint diagonalization," IEEE Signal Process. Lett., vol. 12, no. 9, pp. 645-648, Sep. 2005.
    • (2005) IEEE Signal Process. Lett , vol.12 , Issue.9 , pp. 645-648
    • Yeredor, A.1
  • 7
    • 85143191173 scopus 로고    scopus 로고
    • A. J. van der Veen, Joint diagonalization via subspace fitting techniques, presented at the ICASSP, Salt Lake City, UT, 2001.
    • A. J. van der Veen, "Joint diagonalization via subspace fitting techniques," presented at the ICASSP, Salt Lake City, UT, 2001.
  • 8
    • 0027812550 scopus 로고
    • Blind beamforming for non Gaussian signals
    • J.-F. Cardoso and A. Souloumiac, "Blind beamforming for non Gaussian signals," Proc. Inst. Elect. Eng. F, vol. 140, no. 6, pp. 362-370, 1993.
    • (1993) Proc. Inst. Elect. Eng. F , vol.140 , Issue.6 , pp. 362-370
    • Cardoso, J.-F.1    Souloumiac, A.2
  • 9
    • 0035267163 scopus 로고    scopus 로고
    • A generalization of joint-diagonalization criteria for source separation
    • Mar
    • E. Moreau, "A generalization of joint-diagonalization criteria for source separation," IEEE Trans. Signal Process., vol. 49, no. 3, pp. 530-541, Mar. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.3 , pp. 530-541
    • Moreau, E.1
  • 10
    • 0035485594 scopus 로고    scopus 로고
    • Independent component analysis and (simultaneous) third-order tensor diagonalization
    • Oct
    • L. De Lathauwer, B. De Moor, and J. Vandewalle, "Independent component analysis and (simultaneous) third-order tensor diagonalization," IEEE Trans. Signal Process., vol. 49, no. 10, pp. 2262-2271, Oct. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.10 , pp. 2262-2271
    • De Lathauwer, L.1    De Moor, B.2    Vandewalle, J.3
  • 11
    • 0031078854 scopus 로고    scopus 로고
    • A blind source separation technique using second-order statistics
    • Feb
    • A. Belouchrani, K. Meraim, J.-F. Cardoso, and E. Moulines, "A blind source separation technique using second-order statistics," IEEE Trans. Signal Process., vol. 45, no. 2, pp. 434-444, Feb. 1997.
    • (1997) IEEE Trans. Signal Process , vol.45 , Issue.2 , pp. 434-444
    • Belouchrani, A.1    Meraim, K.2    Cardoso, J.-F.3    Moulines, E.4
  • 12
    • 12144288289 scopus 로고    scopus 로고
    • C. Févotte and C. Doncarli, Two contributions to blind source separation using time-frequency distributions, IEEE Signal Process. Lett., 11, no. 3, pp. 3 86-3 89, Mar. 2004.
    • C. Févotte and C. Doncarli, "Two contributions to blind source separation using time-frequency distributions," IEEE Signal Process. Lett., vol. 11, no. 3, pp. 3 86-3 89, Mar. 2004.
  • 13
    • 0032204239 scopus 로고    scopus 로고
    • Blind source separation based on time-frequency signal representations
    • Nov
    • A. Belouchram and M. G. Amin, "Blind source separation based on time-frequency signal representations," IEEE Trans. Signal Process. vol. 46, no. 11, pp. 2888-2897, Nov 1998.
    • (1998) IEEE Trans. Signal Process , vol.46 , Issue.11 , pp. 2888-2897
    • Belouchram, A.1    Amin, M.G.2
  • 14
    • 0033727638 scopus 로고    scopus 로고
    • Blind source separation via the second characteristic function
    • A. Yeredor, "Blind source separation via the second characteristic function," Signal Process., vol. 80, no. 5, pp. 897-902, 2000.
    • (2000) Signal Process , vol.80 , Issue.5 , pp. 897-902
    • Yeredor, A.1
  • 15
    • 0035424295 scopus 로고    scopus 로고
    • Frequency domain blind MIMO system identification based on second and higher order statistics
    • Aug
    • B. Chen and A. P. Petropulu, "Frequency domain blind MIMO system identification based on second and higher order statistics," IEEE Trans. Signal Process., vol. 49, no. 8, pp. 1677-1688, Aug. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.8 , pp. 1677-1688
    • Chen, B.1    Petropulu, A.P.2
  • 16
    • 0001286812 scopus 로고
    • On the performance of orthogonal source separation algorithms
    • J. F. Cardoso, "On the performance of orthogonal source separation algorithms," in Proc. EUSIPCO, 1994, pp. 776-779.
    • (1994) Proc. EUSIPCO , pp. 776-779
    • Cardoso, J.F.1
  • 17
    • 0026155673 scopus 로고
    • Indeterminacy and identifiability of blind identification
    • May
    • L. Tong, R. Liu, V. C. Soon, and Y. F. Huang, "Indeterminacy and identifiability of blind identification," IEEE Trans. Circuits Syst. vol. 38, no. 5, pp. 459-509, May 1991.
    • (1991) IEEE Trans. Circuits Syst , vol.38 , Issue.5 , pp. 459-509
    • Tong, L.1    Liu, R.2    Soon, V.C.3    Huang, Y.F.4
  • 18
    • 0004151494 scopus 로고
    • Cambridge, U.K, Cambridge Univ. Press
    • R. Horn and C. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1985.
    • (1985) Matrix Analysis
    • Horn, R.1    Johnson, C.2
  • 19
    • 0030145826 scopus 로고    scopus 로고
    • An analytical constant modulus algorithm
    • Jun
    • A. J. van der Veen and A. Paulraj, "An analytical constant modulus algorithm," IEEE Trans. Signal Process., vol. 44, no. 5, pp. 1136-1155, Jun. 1996.
    • (1996) IEEE Trans. Signal Process , vol.44 , Issue.5 , pp. 1136-1155
    • van der Veen, A.J.1    Paulraj, A.2
  • 20
    • 33947100369 scopus 로고    scopus 로고
    • Quadratic optimization for simultaneous matrix diagonalization
    • Sep
    • R. Vollgraf and K. Obermayer, "Quadratic optimization for simultaneous matrix diagonalization," IEEE Trans. Signal Process., vol. 54, no. 9, pp. 3270-3278, Sep. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.9 , pp. 3270-3278
    • Vollgraf, R.1    Obermayer, K.2
  • 21
    • 34249809415 scopus 로고    scopus 로고
    • A comparative study of approximate joint diagonalization algorithms for blind source separation in presence of additive noise
    • Jun
    • S. Degerine and E. Kane, "A comparative study of approximate joint diagonalization algorithms for blind source separation in presence of additive noise," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 3022-3031, Jun. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.6 , pp. 3022-3031
    • Degerine, S.1    Kane, E.2
  • 22
    • 85190314196 scopus 로고
    • Tensorial resolution: A direct trilinear decomposition
    • E. Sanchez and B. R. Kowalski, "Tensorial resolution: A direct trilinear decomposition," J. Chemometrics, vol. 4, pp. 29-45, 1990.
    • (1990) J. Chemometrics , vol.4 , pp. 29-45
    • Sanchez, E.1    Kowalski, B.R.2
  • 24
    • 0040350289 scopus 로고
    • Numerical methods for simultaneous di agonalization
    • A. B. Gerstner, R. Byers, and V. Mehrmann, "Numerical methods for simultaneous di agonalization," SIAM J. Matrix Anal. Appl., vol. 14, pp. 927-949, 1993.
    • (1993) SIAM J. Matrix Anal. Appl , vol.14 , pp. 927-949
    • Gerstner, A.B.1    Byers, R.2    Mehrmann, V.3
  • 25
    • 16344370604 scopus 로고    scopus 로고
    • A prewhitening-induced bound on the identification error in independent component analysis
    • Mar
    • L. De Lathauwer, B. De Moor, and J. Vandewalle, "A prewhitening-induced bound on the identification error in independent component analysis," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 52, no. 3, pp. 546-554, Mar. 2005.
    • (2005) IEEE Trans. Circuits Syst. I: Reg. Papers , vol.52 , Issue.3 , pp. 546-554
    • De Lathauwer, L.1    De Moor, B.2    Vandewalle, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.