Blind extraction of sparse components based on L0-norm minimization
Résumé
We investigate the application of cost functions based on the L0-norm to the problem of blind source extraction (BSE). We show that if the sources have different levels of sparsity, then the minimization of the L0-norm leads to the extraction of the sparsest component even when the sources are statistically dependent. We also study the conditions guaranteeing BSE when an approximation of the ℓ0-norm is considered. Finally, we provide a numerical example to illustrate the applicability of our proposal.
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