Contrast Functions for Blind Source Separation Based on Time-Frequency Information-Theory

This paper introduces new contrast functions for blind separation of sources with different time-frequency signatures. Two contrast functions based on the Kullback-Leibler and Jensen-Renyi divergences in the time-frequency (T-F) plane are introduced. Two iterative algorithms are proposed for the proposed contrasts optimization and source separation. One algorithm consists of spatial whitening and gradient-Jacobi maximization, combining Givens rotations and stochastic gradient. The second algorithm uses a quasi-Newton technique.

[1]  Messaoud Benidir,et al.  Blind separation of impulsive alpha-stable sources using minimum dispersion criterion , 2005, IEEE Signal Processing Letters.

[2]  Yimin Zhang,et al.  Blind separation of sources based on their time-frequency signatures , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[3]  Selin Aviyente Information processing on the time-frequency plane , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[4]  Allan Kardec Barros,et al.  Independent Component Analysis and Blind Source Separation , 2007, Signal Processing.

[5]  Olivier J. J. Michel,et al.  Measuring time-Frequency information content using the Rényi entropies , 2001, IEEE Trans. Inf. Theory.

[6]  Moeness G. Amin,et al.  Blind source separation based on time-frequency signal representations , 1998, IEEE Trans. Signal Process..

[7]  Selin Aviyente,et al.  A measure of mutual information on the time-frequency plane , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[8]  A. Belouchrani,et al.  Contrast functions for blind source separation based on time frequency distributions , 2004, First International Symposium on Control, Communications and Signal Processing, 2004..

[9]  Mohamed Sahmoudi,et al.  Investigations on contrast functions for blind source separation based on non-Gaussianity and sparsity measures , 2005, Proceedings of the Eighth International Symposium on Signal Processing and Its Applications, 2005..

[10]  Aapo Hyvärinen,et al.  Independent Component Analysis: Fast ICA by a fixed-point algorithm that maximizes non-Gaussianity , 2001 .

[11]  Selin Aviyente,et al.  Information-Theoretic Nonstationary Source Separation , 2006, ICA.

[12]  Deniz Erdoğmuş,et al.  Blind source separation using Renyi's mutual information , 2001, IEEE Signal Processing Letters.

[13]  M. Davy,et al.  Copulas: a new insight into positive time-frequency distributions , 2003, IEEE Signal Processing Letters.

[14]  A. Belouchrani,et al.  Time-Frequency Signal Analysis and Processing , 2003 .

[15]  M. Sahmoudi,et al.  Generalized contrast functions for blind separation of overdetermined linear mixtures with unknown numbers of sources , 2005, IEEE/SP 13th Workshop on Statistical Signal Processing, 2005.

[16]  Boualem Boashash,et al.  Time-Frequency Signal Analysis and Processing , 2002 .

[17]  Christine Serviere,et al.  BLIND SEPARATION OF CONVOLUTIVE AUDIO MIXTURES USING NONSTATIONARITY , 2003 .

[18]  Scott Rickard,et al.  BLIND SOURCE SEPARATION BASED ON SPACE-TIME-FREQUENCY DIVERSITY , 2003 .