A second order multi output deconvolution (SOMOD) technique

In this paper, we present an efficient solution to the blind multi-channel deconvolution problem that consists of recovering independent source signals from their convolutive mixtures. In the case of instantaneous mixtures, a robust solution referred to as second order blind identification (SOBI) has been proposed previously. It is based on the joint diagonalization of spatio-temporal correlation matrices. Herein, we extend this technique to the convolutive mixture case. In contrast to existing deconvolution techniques, this new approach is able to deal with an overestimated source number. The proposed method has been successfully applied to the deconvolution of speech signals.

[1]  James L. Massey,et al.  Inverses of Linear Sequential Circuits , 1968, IEEE Transactions on Computers.

[2]  Gene H. Golub,et al.  Matrix computations , 1983 .

[3]  J. Mendel,et al.  Cumulant based identification of multichannel moving-average models , 1989 .

[4]  Kari Torkkola,et al.  Blind separation of convolved sources based on information maximization , 1996, Neural Networks for Signal Processing VI. Proceedings of the 1996 IEEE Signal Processing Society Workshop.

[5]  Eric Moulines,et al.  A blind source separation technique using second-order statistics , 1997, IEEE Trans. Signal Process..

[6]  Frank Ehlers,et al.  Blind separation of convolutive mixtures and an application in automatic speech recognition in a noisy environment , 1997, IEEE Trans. Signal Process..

[7]  Ruey-Wen Liu,et al.  Critera for direct blind deconvolution of MIMO FIR systems driven by white source signals , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).