Fourth-order cumulant-based blind identification of underdetermined mixtures

被引：194

作者：

De Lathauwer, Lieven ^{[1
]}

Castaing, Josephine

Cardoso, Jean-Francois

机构：

[1] Res Grp ETIS, UMR 8051, F-95014 Cergy Pontoise, France

[2] Katholieke Univ Leuven, SCD, Res Grp ESAT, Louvain, Belgium

[3] Ecole Natl Super Telecommun Bretagne, TSI Dept, F-75634 Paris 13, France

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2007年 / 55卷 / 06期

关键词：

cumulant; higher order statistics; higher order tensor; independent component analysis (ICA); parallel factor analysis; simultaneous diagonalization; underdetermined mixture;

D O I：

10.1109/TSP.2007.893943

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper we study two fourth-order cumulantbased techniques for the estimation of the mixing matrix in under-determined independent component analysis. The first method is based on a simultaneous matrix diagonalization. The secon 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.

引用

页码：2965 / 2973

页数：9

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