BLIND SEPARATION OF INSTANTANEOUS MIXTURE OF SOURCES VIA AN INDEPENDENT COMPONENT ANALYSIS

Authors
Citation
Dt. Pham, BLIND SEPARATION OF INSTANTANEOUS MIXTURE OF SOURCES VIA AN INDEPENDENT COMPONENT ANALYSIS, IEEE transactions on signal processing, 44(11), 1996, pp. 2768-2779
Citations number
20
Categorie Soggetti
Engineering, Eletrical & Electronic
ISSN journal
1053587X
Volume
44
Issue
11
Year of publication
1996
Pages
2768 - 2779
Database
ISI
SICI code
1053-587X(1996)44:11<2768:BSOIMO>2.0.ZU;2-Y
Abstract
In this paper, we introduce a procedure for separating a multivariate distribution into nearly independent components based on minimizing a criterion defined in terms of the Kullback-Leibner distance. By replac ing the unknown density with a kernel estimate, we derive useful forms of this criterion when only a sample from that distribution is availa ble. We also compute the gradient and Hessian of our criteria for use in an iterative minimization. Setting this gradient to zero yields a s et of separating functions similar to the ones considered in the sourc e separation problem except that here, these functions are adapted to the observed data. Finally, some simulations are given, illustrating t he good performance of the method.