New contrasts for blind separation of non iid sources in the convolutive case

This paper deals with the separation of convolutive mixtures of independent source signals. Starting from a frequency point of view, we consider a joint diagonalization criterion. Integration of the latter over the frequency domain leads to contrasts which are valid for both iid and non iid sources. A generalization of these contrasts is proposed: it aims at obtaining contrasts with improved statistical performances. A link with existing time-domain contrasts is established. A simple gradient based method for the optimization of the contrasts is proposed and evaluated through simulation tests.

[1]  Jitendra K. Tugnait,et al.  Identification and deconvolution of multichannel linear non-Gaussian processes using higher order statistics and inverse filter criteria , 1997, IEEE Trans. Signal Process..

[2]  Joos Vandewalle,et al.  Independent component analysis and (simultaneous) third-order tensor diagonalization , 2001, IEEE Trans. Signal Process..

[3]  Athina P. Petropulu,et al.  Frequency-domain contrast functions for separation of convolutive mixtures , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[4]  Jean-Christophe Pesquet,et al.  Cumulant-based independence measures for linear mixtures , 2001, IEEE Trans. Inf. Theory.

[5]  Philippe Loubaton,et al.  Separation of a class of convolutive mixtures: a contrast function approach , 2001, Signal Process..

[6]  J. Pesquet,et al.  Generalized contrasts for multichannel blind deconvolution of linear systems , 1997, IEEE Signal Processing Letters.

[7]  Athina P. Petropulu,et al.  Frequency domain blind MIMO system identification based on second and higher order statistics , 2001, IEEE Trans. Signal Process..

[8]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[9]  P. Comon,et al.  Contrasts for multichannel blind deconvolution , 1996, IEEE Signal Processing Letters.

[10]  Eric Moreau,et al.  An any order generalization of JADE for complex source signals , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[11]  E. Moreau,et al.  New criteria for blind signal separation , 2000, Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing (Cat. No.00TH8496).