A new joint diagonalization algorithm with application in blind source separation

IEEE Signal Processing Letters

Volumn 13, Issue 1, 2006, Pages 41-44

  Wang, Fuxiang ^a   Liu, Zhongkan ^a   Zhang, Jun ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Blind source separation (BSS); Eigenvalue and eigenvector; Interference to signal ratio (ISR); Joint diagonalization

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; SIGNAL INTERFERENCE; SIGNAL TO NOISE RATIO;

INTERFERENCE-TO-SIGNAL RATIO; JOINT DIAGONALIZATION ALGORITHM;

BLIND SOURCE SEPARATION;

EID: 30444446914     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2005.860542     Document Type: Article

References (11)

1. J.-F. Cardoso and A. Souloumiac, "Jacobi angles for simultaneous diagonalization," SIAM J. Matrix Anal. Appl., vol. 17, pp. 161-164, 1996.
2. A. Ziehe, M. Kawanabe, S. Harmeling, and K.-R. Müller, "A fast algorithm for joint diagonalization with nonorthogonal transformations and its application to blind source separation," J. Mach. Learning Res., vol. 5, pp. 801-818, Jul. 2004.
3. D. T. Pham, "Joint approximate diagonalization of positive definite Hermitian matrices," SIAM J. Matrix Anal. Appl., vol. 22, pp. 1136-1152, 2001.
4. 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.
5. A. J. van der Veen, "Joint diagonalization via subspace fitting techniques," in Proc. ICASSP, vol. 5, Salt Lake City, UT, 2001, pp. 2773-2776.
6. 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.
7. 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.
8. C. Févotte and C. Doncarli, "Two contributions to blind source separation using time-frequency distributions," IEEE Signal Process. Lett., vol. 11, no. 3, pp. 386-389, Mar. 2004.
9. A. Yeredor, "Blind source separation via the second characteristic function," Signal Process., vol. 80, no. 5, pp. 897-902, 2000.
10. 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.
11. J.-F. Cardoso, "On the performance of orthogonal source separation algorithms," in Proc. EUSIPCO, 1994, pp. 776-779.