Title :
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
fDate :
6/1/2007 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
DOI :
10.1109/TSP.2007.893943
