Source separation with priors on the power spectrum of the sources

A general approach introducing priors on the correlation function or equivalently power spectrum of the sources in the Blind Source Separation problem is presented. This prior modifies or constrains the contrast function that measures the independence of the recovered signals depending on its characteristics. Considering the case where the priors correspond to the sources that we are interested in recovering, the deflation approach is stated. This formulation is especially useful for those large-dimension problems where the ancillary sources are not needed to be estimated. We show its application to the biomedical problem of extracting the atrial activity from atrial fibrillation episodes, where discriminant information about the frequency content of the atrial activity with respect to the other components is available in advance.