Joint diagonalization of complex spatial-wavelet matrices for blind sources separation of non stationary sources

El-Mostafa Fadaili (1) , Vincent Vigneron (1)

1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes

This communication concerns the problem of blind sources separation (BSS) of non stationary sources in the instan- taneous mixture case. We consider an approach based on joint-diagonalization of some hermitian matrices con- structed by a family of spatial complex cross-wavelet transform. We show that mixing matrix can be estimated by using some algebraic properties of considered matrices. Computer simulations are provided to demonstrate the effectiveness of the proposed method, which is compared with other approach based on the joint-diagonalization.

Mots clés: Blind sources separation; wavelet transform; cross-wavelet; joint-diagonalisation

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

El-Mostafa Fadaili, Vincent Vigneron. Joint diagonalization of complex spatial-wavelet matrices for blind sources separation of non stationary sources. 15th European Signal Processing Conference (EUSIPCO 2007), Sep 2007, Poznan, Poland. pp.625-628. ⟨hal-00203228⟩