Second-Order blind identification of underdetermined mixtures

Authors:
Lieven De Lathauwer;Joséphine Castaing
Affiliations:
ETIS (CNRS, ENSEA, UCP), UMR 8051, Cergy-Pontoise, France;ETIS (CNRS, ENSEA, UCP), UMR 8051, Cergy-Pontoise, France
Venue:
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Year:
2006

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Abstract

In this paper we show that the underdetermined ICA problem can be solved using a set of spatial covariance matrices, in case the sources have sufficiently different temporal autocovariance functions. The result is based on a link with the decomposition of higher-order tensors in rank-one terms. We discuss two algorithms and present theoretical bounds on the number of sources that can be allowed.