On the estimation of the mixing matrix for underdetermined blind source separation in an arbitrary number of dimensions

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3195, Issue , 2004, Pages 185-192

  Vielva, Luis ^a   Santamaría, Ignacio ^a   Ibáñez, Jesús ^a   Erdogmus, Deniz ^b   Príncipe, José Carlos ^b  

^a UNIVERSITY OF CANTABRIA   (Spain)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INDEPENDENT COMPONENT ANALYSIS; MATRIX ALGEBRA; MIXING;

ARBITRARY NUMBER; LINEAR PROBLEMS; MARGINALS; MIXING ANGLE; MIXING MATRIX; MULTI-DIMENSIONAL SPACE; SPHERICAL COORDINATES; UNDERDETERMINED BLIND SOURCE SEPARATIONS;

BLIND SOURCE SEPARATION;

EID: 35048856056     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-30110-3_24     Document Type: Article

References (12)

1. A. Hyvärinen, Juha Karhunen, and Erkki Oja, Independent Component Analysis, John Wiley & Sons, New York, 2001.
2. S. Haykin, Ed., Unsupervised Adaptive Filtering, Vol I: Blind Source Separation, John Wiley & Sons, New York, 2000.
3. Gene H. Golub and Charles F. Van Loan, Matrix Computations, Johns Hopkins University Press, 3rd edition, 1996.
4. L. Vielva, D. Erdoǧmuş, and J. C. Príncipe, "Underdetermined blind source separation in a time-varying environment," in Proceedings ICASSP-02 (IEEE International Conference on Acoustics, Speech and Signal Processing)", Orlando, FL, May 2002, pp. 3049-3052.
5. M. Zibulevsky, B. Pearlmutter, P. Bofill, and P. Kisilev, Independent Components Analysis: Principles and Practice, chapter Blind source separation by sparse decomposition in a signal dictionary, Cambridge University Press, 2000.
6. P. Bofill and M. Zibulevsky, "Underdetermined blind source separation using sparse representations," Signal Processing, vol. 81, no. 11, pp. 2353-2362, 2001.
7. D. Erdoǧmuş, L. Vielva, and J. C. Príncipe, "Nonparametric estimation and tracking of the mixing matrix for underdetermined blind source separation," in Proceedings of ICA-2001, Independent Component Analysis, San Diego. CA, Dec. 2001, pp. 189-193.
8. L. Vielva, D. Erdoǧmuş, and J. C. Príncipe, "Underdetermined blind source separation using a probabilistic source sparsity model," in Proceedings of ICA-2001, Independent Component Analysis, San Diego. CA, Dec. 2001, pp. 675-679.
9. C. G. Puntonet, A. Prieto, C. Jutten, M. Rodriguez-Alvarez, and J.Ortega, "Separation of sources: A geometry-based procedure for reconstruction of n-valued signals," IEEE Trans. on Acoustics, Speech, and Signal Processing, vol. 46, no. 3, pp. 267-284, 1995.
10. A. Jung, F. Theis, C. Puntonet, and E. Lang, "Fastgeo - a histogram based approach to linear geometric ICA," in Independent Component Analysis, San Diego. CA, 2001, pp. 349-354.
11. Sergios Theodoridis and Konstantinos Koutroumbas, Pattern Recognition, Academic Press, San Diego, California, 1999.
12. L. Vielva, I. Santamaría, C. Pantaleón, J. Ibáñez, D. Erdoǧmuş, and J. C. Príncipe, "Estimation of the mixing matrix for underdetermined blind source separation using spectral estimation techniques," in Proceedings Eúsipco-2002 (XI European Signal Processing Conference), Toulouse, France, September 3-6 2002, vol. I, pp. 557-560.