1. Adaptive nonlinear PCA algorithms for blind source separation without prewhitening
- Author
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Xiao-Long Zhu, Ying Jia, Xian-Da Zhang, and Zi-Zhe Ding
- Subjects
Recursive least squares filter ,business.industry ,Process (computing) ,Pattern recognition ,Blind signal separation ,Independent component analysis ,Nonlinear system ,Autocorrelation matrix ,Adaptive system ,Principal component analysis ,Artificial intelligence ,Electrical and Electronic Engineering ,business ,Algorithm ,Mathematics - Abstract
Blind source separation (BSS) aims at recovering statistically independent source signals from their linear mixtures without knowing the mixing coefficients. Besides independent component analysis, nonlinear principal component analysis (NPCA) is shown to be another useful tool for solving this problem, but it requires that the measured data be prewhitened. By taking into account the autocorrelation matrix of the measured data, we present in this paper a modified NPCA criterion, and develop a least-mean-square (LMS) algorithm and a recursive least-squares algorithm. They can perform the online BSS using directly the unwhitened observations. Since a natural gradient learning is applied and the prewhitening process is removed, the proposed algorithms work more efficiently than the existing NPCA algorithms, as verified by computer simulations on man-made sources as well as practical speech signals
- Published
- 2006