Separation of a class of convolutive mixtures: a contrast function approach

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In this paper, we address the problem of the separation of convolutive mixtures even in the case where the non-Gaussian source signals are not linear processes. In this context, we show that the contrast functions, previously introduced in the case of one-input/one-output blind deconvolution and then in linear source sepertion, allow one to separate the sources by a deflation approach. Some particular properties of higher-order cumulants-based contrast functions are also given.