Convolutive Blind Signal Separation Based on Asymmetrical Contrast Functions

In this paper, we consider the blind signal separation problem for convolutive mixtures, in the real case. More precisely, we present a generalization of classical contrast functions to more flexible asymmetric forms. We provide several examples of these new criteria which are useful for sources having different high-order statistics. We also perform a statistical study of the proposed source separation approach, including both the consistency and the asymptotic normality aspects. These theoretical results are also confirmed by numerical simulations