Underdetermined blind separation of nondisjoint sources in the time-frequency domain

IEEE Transactions on Signal Processing

Volumn 55, Issue 3, 2007, Pages 897-907

  Aïssa El Bey, Abdeldjalil ^a   Linh Trung, Nguyen ^b   Abed Meraim, Karim ^a   Belouchrani, Adel ^c   Grenier, Yves ^a  

^a TELECOM PARISTECH   (France)

^b VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

^c ECOLE NATIONALE POLYTECHNIQUE   (Algeria)

Author keywords

Blind source separation; Sparse signal decomposition representation; Spatial time frequency representation; Speech signals; Subspace projection; Underdetermined overcomplete representation; Vector clustering

Indexed keywords

CLUSTER ANALYSIS; ESTIMATION; FREQUENCY DOMAIN ANALYSIS; NUMERICAL METHODS; TIME DOMAIN ANALYSIS;

SPATIAL TIME-FREQUENCY REPRESENTATION; SUBSPACE PROJECTION; UNDERDETERMINED/OVERCOMPLETE REPRESENTATION; VECTOR CLUSTERING;

BLIND SOURCE SEPARATION;

EID: 33947403595     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2006.888877     Document Type: Article

References (20)

1. A. K. Nandi, Ed., Blind Estimation Using Higher-Order Statistics. Boston, MA: Kluwer Academic, 1999.
2. J.-F. Cardoso, "Blind signal separation: Statistical principles," in Proc. IEEE, Oct. 1998, vol. 86, no. 10, pp. 2009-2025.
3. A. Belouchrani, K. Abed-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.
4. A. Belouchrani 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.
5. K. Abed-Meraim, Y. Xiang, J. H. Manton, and Y. Hua, "Blind source separation using second order cyclostationary statistics," IEEE Trans. Signal Process., vol. 49, no. 4, pp. 694-701, Apr. 2001.
6. P. Bofill and M. Zibulevsky, "Underdetermined blind source separation using sparse representations," Signal Process., vol. 81, no. 11, pp. 2353-2362, Nov. 2001.
7. P. O'Grady, B. Pearlmutter, and S. Rickard, "Survey of sparse and non-sparse methods in source separation," Int. J. Imag. Syst. Tech., vol. 15, no. 1, pp. 18-33, 2005.
8. N. Linh-Trung, A. Belouchrani, K. Abed-Meraim, and B. Boashash, "Separating more sources than sensors using time-frequency distributions," EURASIP J. Appl. Signal Process., vol. 2005, no. 17, pp. 2828-2847, 2005.
9. O. Yilmaz and S. Rickard, "Blind separation of speech mixtures via time-frequency masking," IEEE Trans. Signal Process., vol. 52, no. 7, pp. 1830-1847, Jul. 2004.
10. B. Barkat and K. Abed-Meraim, "Algorithms for blind components separation and extraction from the time-frequency distribution of their mixture," EURASIP J. Appl. Signal Process., vol. 2004, no. 13, pp. 2025-2033, 2004.
11. N. Linh-Trung, A. Aïssa-El-Bey, K. Abed-Meraim, and A. Belouchrani, "Underdetermined blind source separation of non-disjoint nonstationary sources in time-frequency domain," in Proc. Int. Symp. Signal Processing Its Applications (ISSPA), Sydney, Australia, Aug. 2005, vol. 1, pp. 46-49.
12. S. Rickard, T. Melia, and C. Fearon, "Desprit - Histogram based blind source separation of more sources than sensors using subspace methods," in Proc. IEEE Workshop on Applications Signal Processing Audio Acoustics, Oct. 2005, pp. 5-8.
13. B. Boashash, Ed., Time Frequency Signal Analysis and Processing: Method and Applications. Oxford, U.K.: Elsevier, 2003.
14. B. Barkat and B. Boashash, "A high-resolution quadratic time-frequency distribution for multicomponent signal analysis," IEEE Trans. Signal Process., vol. 49, no. 10, pp. 2232-2239, Oct. 2001.
15. L. D. Lathauwer, B. Moor, and J. Vandewalle, "ICA techniques for more sources than sensors," in Proc. IEEE Signal Processing Workshop on Higher Order Statistics, Jun. 1999, pp. 121-124.
16. G. F. Boudreaux-Bartels and T. W. Parks, "Time-varying filtering and signal estimation using Wigner distributions," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-34, no. 3, pp. 442-451, Mar. 1986.
17. I. E. Frank and R. Todeschini, The Data Analysis Handbook. New York: Elsevier, Sci., 1994.
18. D. W. Griffin and J. S. Lim, "Signal estimation from modified short-time Fourier transform," IEEE Trans. Acoustic, Speech, Signal Process., vol. ASSP-32, no. 2, pp. 236-243, Apr. 1984.
19. M. Zibulevsky, B. A. Pearlmutter, P. Bofill, and P. Kisilev, Independent Component Analysis: Principles and Practice, S. J. Roberts and R. M. Everson, Eds. Cambridge, U.K.: Cambridge Univ. Press, 2001, ch. Blind Source Separation by Sparse Decomposition.
20. M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-33, no. 2, pp. 387-392, Apr. 1985.