Separation of convolutive mixtures of cyclostationary sources: A contrast function based approach

Abstract

Fourth-order cumulants are quite popular in the field of blind separation of convolutive mixtures of stationary sources. Their use in the context of cyclo-stationary sources cannot be taken for granted because consistent estimation of the temporal mean of the fourth-order cumulants needs the knowledge of the cyclic frequencies of the received signal. In this paper, we introduce a cost function whose estimation does not need the knowledge of the cyclic frequencies. We show that under some reasonable sufficient conditions, its maximization allows to separate the sources. © Springer-Verlag 2004.