Fourth-Order Cumulant-Based Blind Identification of Underdetermined Mixtures

Author

De Lathauwer, Lieven ; Castaing, Joséphine ; Cardoso, Jean-François

Author_Institution

Research Group ETIS, Cergy-Pontoise

Volume

55

Issue

6

fYear

2007

fDate

6/1/2007 12:00:00 AM

Firstpage

2965

Lastpage

2973

Abstract

In this paper we study two fourth-order cumulant-based techniques for the estimation of the mixing matrix in underdetermined independent component analysis. The first method is based on a simultaneous matrix diagonalization. The second is based on a simultaneous off-diagonalization. The number of sources that can be allowed is roughly quadratic in the number of observations. For both methods, explicit expressions for the maximum number of sources are given. Simulations illustrate the performance of the techniques

Keywords

blind source separation; higher order statistics; matrix algebra; blind identification; fourth-order cumulant; matrix diagonalization; mixing matrix; underdetermined mixtures; Additive noise; Blind source separation; Fourier transforms; Higher order statistics; Independent component analysis; Source separation; Sparse matrices; Stochastic resonance; Tensile stress; Vectors; Cumulant; higher order statistics; higher order tensor; independent component analysis (ICA); parallel factor analysis; simultaneous diagonalization; underdetermined mixture;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2007.893943

Filename

4203062