Approches parcimonieuses pour l'estimation de la matrice de covariance spatiale et la localisation de sources acoustiques

Abstract : This paper addresses the problem of estimating the spatial covariance matrix of acoustic sources. This approach improves the localization of correlated sources. Since it provides information on their correlation, it also brings a better characterization of their nature. Two methods are proposed: a penalized approach, with L1 and trace regularization terms, as well as a greedy method (Orthogonal Least Squares), both promoting the sparsity of the coefficients of the matrix and its low rank. Experimental results show the interest of the proposed approaches to locate correlated sources, or in presence of reflections.
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Gilles Chardon, Francois Ollivier, José Picheral, Sylvie Marcos. Approches parcimonieuses pour l'estimation de la matrice de covariance spatiale et la localisation de sources acoustiques. XXVIIème Colloque francophonede traitement du signal et des images (GRETSI 2019), Aug 2019, Lille, France. ⟨hal-02271625⟩

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