ICA algorithms for 3 sources and 2 sensors

被引：28

作者：

De Lathauwer, L ^{[1
]}

Comon, P ^{[1
]}

De Moor, B ^{[1
]}

Vandewalle, J ^{[1
]}

机构：

[1] Katholieke Univ Leuven, EE Dept, ESAT, SISTA,COSIC, B-3001 Heverlee, Belgium

来源：

PROCEEDINGS OF THE IEEE SIGNAL PROCESSING WORKSHOP ON HIGHER-ORDER STATISTICS | 1999年

关键词：

D O I：

10.1109/HOST.1999.778706

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper,ve develop efficient algorithms to identify the mixing matrix itt the context of an Independent Component Analysis with 3 sources and 2 sensors. Our contribution is two-fold. First, by applying twice a theorem by Sylvester; it is shown that the mixture can be obtained analytically by solving a linear system involving cumulants of both orders 3 and 4. Secondly the fatter theorem is extended to the case of "polynomials" of complex variables in which each monomial counts the same number of complex conjugated unknowns; this leads to an algorithm allowing to identify the mixture by solving a linear system involving only 4th order cumulants.

引用

页码：116 / 120

页数：3