A generalization of blind source separation algorithms for convolutive mixtures based on second-order statistics

IEEE Transactions on Speech and Audio Processing

Volumn 13, Issue 1, 2005, Pages 120-134

  Buchner, Herbert ^a   Aichner, Robert ^a   Kellermann, Walter ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Adaptive filtering; Blind source separation (BSS); Convolutive mixtures; Multiple input multiple output (MIMO) systems; Second order statistics

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BLIND SOURCE SEPARATION; MATRIX ALGEBRA; NATURAL FREQUENCIES; OPTIMIZATION; SIGNAL PROCESSING; TIME DOMAIN ANALYSIS;

CONVOLUTIVE MIXTURES; MULTIPLE-INPUT-MULTIPLE-OUTPUT (MIMO) SYSTEMS; SECOND-ORDER STATISTICS; SENSOR SIGNALS;

ADAPTIVE FILTERING;

EID: 11144223199     PISSN: 10636676     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSA.2004.838775     Document Type: Article

References (43)

1. M. Miyoshi and Y. Kaneda, "Inverse filtering of room acoustics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 145-152, Feb. 1988.
2. Y. Hua, S. An, and Y. Xiang, "Blind identification of FIR MIMO channels by decorrelating subchannels," IEEE Trans. Signal Process., vol. 51, no. 5, pp. 1143-1155, May 2003.
3. A. Hyvärinen, J. Karhunen, and E. Oja, Independent Component Analysis. New York: Wiley, 2001.
4. L. Molgedey and H. G. Schuster, "Separation of a mixture of independent signals using time delayed correlations," Phys. Rev. Lett., vol. 72, pp. 3634-3636, 1994.
5. L. Tong et al., "Indeterminacy and identifiability of blind identification," IEEE Trans. Circuits Syst., vol. 38, pp. 499-509, May 1991.
6. E. Weinstein, M. Feder, and A. Oppenheim, "Multi-channel signal separation by decorrelation," IEEE Trans. Speech Audio Process., vol. 1, no. 4, pp. 405-413, Oct. 1993.
7. S. Van Gerven and D. Van Compernolle, "Signal separation by symmetric adaptive decorrelation: stability, convergence, and uniqueness," IEEE Trans. Signal Process., vol. 43, no. 7, pp. 1602-1612, Jul. 1995.
8. K. Matsuoka, M. Ohya, and M. Kawamoto, "A neural net for blind separation of nonstationary signals," Neural Netw., vol. 8. no. 3. pp. 411-419, 1995.
9. J.-F. Cardoso and A. Souloumiac, "Jacobi angles for simultaneous diagonalization." SIAM J. Mat. Anal. Appl. vol. 17, no. 1, pp. 161-164 Jan. 1996.
10. S. Ikeda and N. Murata, "An approach to blind source separation of speech signals," in Proc. 8th Int. Conf. Artificial Neural Networks (ICANN), Skövde, Sweden, Sep. 1998, pp. 761-766.
11. L. Parra and C. Spence, "Convolutive blind source separation based on multiple decorrelation," in Proc. Int. Workshop Neural Networks Signal Processing, Cambridge, U.K., Sep. 1998, pp. 23-32.
12. D. W. E. Schobben and P. C. W. Sommen, "A frequency-domain blind signal separation method based on decorrelation," IEEE Trans. Signal Process., vol. 50, no. 8, pp. 1855-1865, Aug. 2002.
13. H.-C. Wu and J. C. Principe, "Simultaneous diagonalization in the frequency domain (SDIF) for source separation," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), 1999, pp. 245-250.
14. C. L. Fancourt and L. Parra, "The coherence function in blind source separation of convolutive mixtures of nonstationary signals," in Proc. Int. Workshop Neural Networks Signal Processing, 2001, pp. 303-312.
15. S. Araki et al., "The fundamental limitation of frequency-domain blind source separation for convolutive mixtures of speech," IEEE Trans. Speech Audio Process., vol. 11, pp. 109-116, Mar. 2003.
16. H. Sawada et al., "Spectral smoothing for frequency-domain blind source separation," in Proc. Int. Workshop Acoustic Echo Noise Control (IWAENC), Kyoto, Japan, Sep. 2003, pp. 311-314.
17. M. Z. Ikram and D. R. Morgan, "Exploring permutation inconsistency in blind separation of speech signals in a reverberant environment," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), vol. 2, Istanbul, Turkey, Jun. 2000, pp. 1041-1044.
18. H. Buchner, R. Aichner, and W. Kellermann, "A generalization of a class of blind source separation algorithms for convolutive mixtures," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), Nara, Japan, Apr. 2003, pp. 945-950.
19. H. Buchner, J. Benesty, and W. Kellermann, "Multichannel frequency-domain adaptive algorithms with application to acoustic echo cancellation," in Adaptive Signal Processing: Application to Real-World Problems, J. Benesty and Y. Huang, Eds. Berlin, Germany: Springer-Verlag, Jan. 2003.
20. S. Haykin, Adaptive Filter Theory, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
21. R. Aichner, H. Buchner, S. Araki, and S. Makino, "On-line time-domain blind source separation of nonstationary convolved signals," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), Nara, Japan, Apr. 2003, pp. 987-992.
22. E. Moulines, O. A. Amrane, and Y. Grenier, "The generalized multidelay adaptive filter: structure and convergence analysis," IEEE Trans. Signal Process., vol. 43, pp. 14-28, Jan. 1995.
23. R. Aichner, H. Buchner, F. Yan. and W. Kellermann, "Real-time convolutive blind source separation based on a broadband approach," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), Granada, Spain, Sep. 2004, pp. 833-840.
24. R. Aichner, H. Buchner, and W. Kellermann, "Convolutive blind source separation for noisy mixtures," in Proc. Joint Mtg. German French Acoustical Societies (CFA/DAGA). Strasbourg, France, Mar. 2004, pp. 583-584.
25. H. Buchner, R. Aichner, and W. Kellermann, "Blind source separation for convolutive mixtures exploiting nongaussianity, nonwhiteness, and nonstationarity," in Proc. Int. Workshop Acoustic Echo Noise Control (IWAENC), Kyoto, Japan, Sep. 2003, pp. 275-278.
26. J. D. Markel and A. H. Gray, Linear Prediction of Speech. Berlin, Germany: Springer-Verlag, 1976.
27. A. Oppenheim, "Inequalities connected with definite hermitian forms," J. London Math. Soc., vol. 5, pp. 114-119, 1930.
28. D. A. Harville, Matrix Algebra From a Statistician's Perspective. New York: Springer-Verlag, 1997.
29. A. Cichocki and S. Amari, Adaptive Blind Signal and Image Processing. New York: Wiley, 2002.
30. S. Amari, A. Cichocki, and H. H. Yang, "A new learning algorithm for blind signal separation," in Advances in Neural Information Processing Systems. Cambridge, MA: MIT, 1996, vol. 8. pp. 757-763.
31. J.-F. Cardoso, "Blind signal separation: statistical principles," Proc. IEEE, vol. 86, pp. 2009-2025, Oct. 1998.
32. R. Aichner et al., "Time-domain blind source separation of nonstationary convolved signals with utilization of geometric beamforming," in Proc. Int. Workshop Neural Networks Signal Processing (NNSP), Martigny, Switzerland, 2002, pp. 445-454.
33. M. Kawamoto, K. Matsuoka, and N. Ohnishi, "A method of blind separation for convolved nonstationary signals," Neurocomput., vol. 22, pp. 157-171, 1998.
34. T. Nishikawa, H. Saruwatari, and K. Shikano, "Comparison of time-domain ICA, frequency-domain ICA and multistage ICA for blind source separation," in Proc. Eur. Signal Processing Conf. (EUSIPCO), vol. 2, Sep. 2002, pp. 15-18.
35. B. S. Krongold and D. L. Jones, "Blind source separation of nonstationary convolutively mixed signals," in Proc. IEEE Workshop Statistical Signal Array Processing (SSAP), Aug. 2000, pp. 53-57.
36. L. Parra and C. Alvino, "Geometric source separation: merging convolutive source separation with geometric beamforming," IEEE Trans. Speech Audio Process., vol. 10, pp. 352-362, Sep. 2002.
37. S. Shamsunder and G. Giannakis, "Multichannel blind signal separation and reconstruction," IEEE Trans. Speech Audio Process., vol. 5, no. 6, pp. 515-528, Nov. 1997.
38. J. Anemüller, "Across-frequency processing in convolutive blind source separation," Ph.D. dissertation, Institute of Physics, Oldenburg University, Oldenburg, Germany, 2001.
39. K. Rahbar and J. P. Reilly, "Blind source separation of convolved sources by joint approximate diagonalization of cross-spectral density matrices," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), vol. 5, Salt Lake City, UT, May 2001, pp. 2745-2748.
40. H. Sawada, R. Mukai, S. Araki, and S. Makino, "Robust and precise method for solving the permutation problem of frequency-domain blind source separation," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), Nara, Japan, Apr. 2003, pp. 505-510.
41. P. Smaragdis, "Blind separation of convolved mixtures in the frequency domain," Neurocomputing, vol. 22, pp. 21-34, Jul. 1998.
42. H. Gish and D. Cochran, "Generalized Coherence," in Proc. IEEE Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), New York, 1988, pp. 2745-2748.
43. R. Mukai, H. Sawada, S. Araki, and S. Makino, "Real-Time blind source separation for moving speakers using blockwise ICA and residual crosstalk subtraction," in Proc. Int. Symp. Independent Component Analysis Blind Signal Separation (ICA), Nara, Japan, Apr. 2003, pp. 975-980.