A new tensor factorization approach for convolutive blind source separation in time domain

In this paper a new tensor factorization based method is addressed to separate the speech signals from their convolutive mixtures. PARAFAC and majorization concepts have been used to estimate the model parameters which best fit the convolutive model. Having semi-diagonal covariance matrices for different source segments and also quasi static mixing channels are the requirements for our method. We evaluated the method using synthetically mixed real signals. The results show high ability of our method for separating the speech signals.

[1]  Richard A. Harshman,et al.  Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis , 1970 .

[2]  Henk A. L. Kiers,et al.  Alternating least squares algorithms for simultaneous components analysis with equal component weight matrices in two or more populations , 1989 .

[3]  Henk A. L. Kiers,et al.  Majorization as a tool for optimizing a class of matrix functions , 1990 .

[4]  R. Bro,et al.  PARAFAC2—Part I. A direct fitting algorithm for the PARAFAC2 model , 1999 .

[5]  Saeid Sanei,et al.  Semi-blind signal separation and channel estimation in MIMO communication systems by tensor factorization , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[6]  Lucas C. Parra,et al.  A SURVEY OF CONVOLUTIVE BLIND SOURCE SEPARATION METHODS , 2007 .

[7]  Saeid Sanei,et al.  Simultaneous localization and separation of biomedical signals by tensor factorization , 2009, 2009 IEEE/SP 15th Workshop on Statistical Signal Processing.

[8]  R. Bro PARAFAC. Tutorial and applications , 1997 .

[9]  Christian Jutten,et al.  Blind separation of sources, part I: An adaptive algorithm based on neuromimetic architecture , 1991, Signal Process..

[10]  Henk A. L. Kiers,et al.  Setting up alternating least squares and iterative majorization algorithms for solving various matrix optimization problems , 2002, Comput. Stat. Data Anal..

[11]  Lucas C. Parra,et al.  Convolutive blind separation of non-stationary sources , 2000, IEEE Trans. Speech Audio Process..

[12]  Hiroshi Sawada,et al.  Blind Source Separation of Convolutive Mixtures of Speech in Frequency Domain , 2005, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[13]  R. Harshman The differences between analysis of covariance and correlation , 2001 .

[14]  Athanassios Manikas,et al.  Blind single-user array receiver for MAI cancellation in multipath fading DS-CDMA channels , 2000, 2000 10th European Signal Processing Conference.