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Summary: Blind source separation in the presence of weak sources
J.-P. Nadala
, E. Korutchevab,*, F. Airesa,2
a
Laboratoire de Physique Statistique de l'ENS3
Ecole Normale Supe´rieure 24, rue Lhomond-75231 Paris Cedex 05, France
b
Departamento de Fi´sica Fundamental, Universidad Nacional de Educacio´n a Distancia (UNED), c/Senda del Rey No 9-28080 Madrid, Spain
Received 23 June 1999; accepted 26 April 2000
Abstract
We investigate the information processing of a linear mixture of independent sources of different magnitudes. In particular we consider the
case where a number m of the sources can be considered as "strong" as compared to the other ones, the "weak" sources. We find that it is
preferable to perform blind source separation in the space spanned by the strong sources, and that this can be easily done by first projecting
the signal onto the m largest principal components. We illustrate the analytical results with numerical simulations. 2000 Elsevier Science
Ltd. All rights reserved.
Keywords: Independent component analysis; Blind source separation; Infomax
1. Introduction
During the recent years many studies have been devoted
to the study of Blind Source Separation (BSS) and more
generally to that of Independent Component Analysis
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