Complex ICA using nonlinear functions

被引:72
作者
Adali, Tuelay [1 ]
Li, Hualiang [1 ]
Novey, Mike [1 ]
Cardoso, Jean-Francois [2 ]
机构
[1] Univ Maryland Baltimore Cty, Dept Comp Sci & Elect Engn, Baltimore, MD 21250 USA
[2] Ecole Natl Super Telecommun Bretagne, TSI Dept, F-75634 Paris 13, France
基金
美国国家科学基金会;
关键词
complex optimization; density matching; independent component analysis (ICA); maximum-likelihood estimation; negentropy maximization;
D O I
10.1109/TSP.2008.926104
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
We introduce a framework based on Wirtinger calculus for nonlinear complex-valued signal processing such that all computations can be directly carried out in the complex domain. The two main approaches for performing independent component analysis, maximum likelihood, and maximization of non-Gaussianity-which are intimately related to each other-are studied using this framework. The main update rules for the two approaches are derived, their properties and density matching strategies are discussed along with numerical examples to highlight their relationships.
引用
收藏
页码:4536 / 4544
页数:9
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