Under-Determined source separation: comparison of two approaches based on sparse decompositions

  • Authors:
  • Sylvain Lesage;Sacha Krstulović;Rémi Gribonval

  • Affiliations:
  • METISS project, IRISA-INRIA, Rennes, France;METISS project, IRISA-INRIA, Rennes, France;METISS project, IRISA-INRIA, Rennes, France

  • Venue:
  • ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
  • Year:
  • 2006

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Abstract

This paper focuses on under-determined source separation when the mixing parameters are known. The approach is based on a sparse decomposition of the mixture. In the proposed method, the mixture is decomposed with Matching Pursuit by introducing a new class of multi-channel dictionaries, where the atoms are given by a spatial direction and a waveform. The knowledge of the mixing matrix is directly integrated in the decomposition. Compared to the separation by multi-channel Matching Pursuit followed by a clustering, the new algorithm introduces less artifacts whereas the level of residual interferences is about the same. These two methods are compared to Bofill & Zibulevsky’s separation algorithm and DUET method. We also study the effect of smoothing the decompositions and the importance of the quality of the estimation of the mixing matrix.