NDLI: An iterative method using conditional second-order statistics applied to the blind source separation problem

Content Provider	IEEE Xplore Digital Library
Author	Xerri, B. Borloz, B.
Copyright Year	1991
Abstract	This paper is concerned with the problem of blind separation of an instantaneous mixture of sources (BSS), which has been addressed in many ways. When power spectral densities of the sources are different, methods using second-order statistics are sufficient to solve this problem. Otherwise, these methods fail and others (higher order statistics, etc.) must be used. In this paper, we propose an iterative method to process the case of sources with the same power spectral density. This method is based on an evaluation of conditional first and second-order statistics only. Restrictions on characteristics of sources are given to reach a solution, and proofs of convergence of the algorithm are provided for particular cases of probability density functions. Robustness of this algorithm with respect to the number of sources is shown through computer simulations. A particular case of sources that have a probability density function with unbounded domain of definition is described; here, the algorithm does not lead directly to a separation state but to an a priori known mixture state. Finally, prospects of links with contrast functions are mentioned, with a possible generalization of them based on results obtained with particular sources.
Sponsorship	IEEE Signal Processing Society
Starting Page	313
Ending Page	328
Page Count	16
File Size	422331
File Format	PDF
ISSN	1053587X
Volume Number	52
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Iterative methods Source separation Higher order statistics Iterative algorithms Blind source separation Probability density function Robustness Performance analysis Reactive power Signal processing algorithms
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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