Post-nonlinear blind extraction in the presence of Ill-conditioned mixing

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 55, Issue 9, 2008, Pages 2631-2638

  Leong, Wai Yie ^a,b   Mandic, Danilo P ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b SINGAPORE INSTITUTE OF MANUFACTURING TECHNOLOGY   (Singapore)

Author keywords

Blind source extraction; Blind source separation; Deflation; Ill conditioned matrix; Post nonlinear (PNL) model

Indexed keywords

COST FUNCTIONS; EXTRACTION; MIXING;

BLIND EXTRACTION; BLIND SOURCE EXTRACTION; BLIND SOURCE EXTRACTION (BSE); DEFLATION; ILL-CONDITIONED MATRICES; LINEAR MIXING MODELS; MEASURE OF NONLINEARITIES; POSTNONLINEAR MODEL;

BLIND SOURCE SEPARATION;

EID: 56349159783     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2008.922022     Document Type: Article

References (33)

1. A. Cichocki and D. Erdogmus, MLSP 2006 data competition Online. Available: http://mlsp2006.conwiz.dk/, 2006
2. A. Cichocki and S. I. Amari, "Adaptive Blind Signal and Image Processing," in Locally Adaptive Algorithms for ICA and Their Implementations. New York: Wiley, 2002.
3. A. Hyvarinen, "Survey on independent component analysis," Neural Comput. Surv., vol. 2, pp. 94-128, 1999.
4. A. Hyvarinen and E. Oja, Independent Component Analysis: A Tutorial. Tech Rep. Helsinki Univ.Technology, Helsinki, Finland, Apr. 1999.
5. A. Hyvarinen, J. Karhunen, and E. Oja, Independent Component Analysis New York: Wiley, 2001.
6. A. Hyvarinen and P. Pajunen, "Nonlinear independent component analysis: Existence and uniqueness results," Neural Netw., vol. 12, pp. 429-439, 1999.
7. A. Mansour, A. Barros, and N. Ohnishi, "Blind separation of sources: Methods, assumptions and applications," IEICE Trans. Fundamentals Electronics, Commun. Comput. Sci., vol. E83-A, pp. 1498-1512, 2000.
8. A. Taleb, "Source separation in structured nonlinear models," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., 2001, vol. 6, pp. 3613-3516.
9. A. Taleb and C. Jutten, "Source separation in post-nonlinear mixtures," IEEE Trans. Signal Process., vol. 47, no. 10, pp. 2807-2820, 1999.
10. A. J. Bell and T. J. Sejnowski, An Information Maximization Approach to Blind Separation and Blind Deconvolution, vol. 7, pp. 1129-1159, 1995.
11. Golub and Van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press.
12. G. R. Arce, Nonlinear Signal Processing: A statistical Approach, first ed. New York: Wiley, 2005.
13. H. Mathis, "Nonlinear Functions for Blind Separation and Equalization," Ph.D. dissertation, The Swiss Federal Institute of Technology,, Zurich, Nov. 2001.
14. H. Valpola, X. Giannakopoulos, A. Honkela, and J. Karhunen, "Nonlinear independent component analysis using ensemble learning: Experiments and discussion" Tech. Rep., Helsinki Univ. Technology, Neural Networks Research Centre, Helsinki, Finland, 2000.
15. J. Blackledge, Digital Signal Processing: Mathematical and Computational Methods, Software Development and Applications, 2nd ed. London, U.K.: Horwood,, 2006.
16. J. Chambers and A. Avlonitis, A Robust Mixed-Norm Adaptive Filter Algorithm, vol. 4, pp. 46-48, Feb. 1997.
17. J. Eriksson and V. Koivunen, "Identifiability and separability of linear ICA models revisited," in Proc. Int.Workshop Independent Component Anal. Blind Signal Separation, Apr. 2003, pp. 23-27.
18. J. F. Cardoso, "Blind signal separation: Statistical principles," Proc. IEEE, vol. 44, pp. 3017-3030, 1998.
19. W. Liu and D. P. Mandic, "A normalized kurtosis based algorithm for blind source extraction from noisy measurements," Signal Process. vol. 86, pp. 1580-1585, Jul. 2006.
20. E. Moreau and O. Macchi, "High-order contrasts for self-adaptive source separation," Int. J. Adaptive Contr. Signal Process., pp. 19-46, 1996.
21. N. Delfosse and P. Loubaton, "Adaptive blind separation of independent sources: A deflation approach," Signal Process., vol. 49, pp. 59-83, 1995.
22. P. Comon, "Independent component analysis, a new concept?," Signal Process., vol. 36, no. 3, pp. 287-314, Apr. 1994.
23. S. A. Cruces-Alvarez, "From blind signal extraction to blind instantaneous signal separation: Criteria, algorithm, and stability," IEEE Trans. Neural Netw., vol. 15, pp. 859-873, Jul. 2004.
24. S. A. Cruces-Alvarez, A. Cichoki, and S. I. Amari, "On a new blind signal extraction algorithm: Different criteria and stability analysis," IEEE Signal Process. Lett., vol. 9, pp. 233-236, Aug. 2002.
25. S. Amari, "Natural gradient works efficiently in learning," Neural Comput., vol. 10, pp. 251-276, Jan. 1998.
26. T. W. Lee, B. Koehler, and R. Orglmeister, "Blind source separation of nonlinear mixing models," Nueral Netw. Signal Process., vol. 7, pp. 406-415, 1997.
27. W. Y. Leong and D. P. Mandic, "Blind extraction of noisy events using nonlinear predictor," in Proc. 2007 IEEE Int. Conf. Acoust., Speech, Signal Process., Apr. 6-8, 2004, pp. 657-660.
28. W. Y. Leong and D. P. Mandic, "Adaptive blind extraction for post-nonlinearly mixed signals," in Proc. 2006 IEEE Int. Workshop Mach. Learning Signal Process., Maynooth, Ireland, Sep. 6-8, 2006, pp. 91-96.
29. W. Y. Leong and J. Homer, "EKENS: A learning on nonlinear blindly mixed signals," in Proc. 30th Int. Conference on Acoustics, Speech, and Signal Processing (ICASSP'05), Mar. 19-23, 2005, vol. 4, pp. 81-84.
30. X. L. Li and X. D. Zhang, "Sequemtial blind extraction adopting second-order statistics," IEEE Signal Process. Lett., vol. 14, pp. 58-61, 2007.
31. Y. Q. Li and J. Wang, "Sequential blind extraction of instananeously mixed sources," IEEE Trans. Signal Process., vol. 50, pp. 997-1006, May 2002.
32. Y. Q. Li, J. Wang, and J. M. Zurada, "Blind extraction of singularly mixed source signals," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1413-1422, Nov. 2000.
33. Z. L. Zhang and Z. Yi, "Robust extraction of specific signals with temporal structure," Neurocomputing, vol. 69, pp. 888-893, 2006.