# Piecewise Linear Source Separation

1 METISS - Speech and sound data modeling and processing
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, Inria Rennes – Bretagne Atlantique
Abstract : We propose a new framework, called piecewise linear separation, for blind source separation of possibly degenerate mixtures, including the extreme case of a single mixture of several sources. Its basic principle is to : 1/ decompose the observations into components'' using some sparse decomposition/nonlinear approximation technique; 2/ perform separation on each component using a local'' separation matrix. It covers many recently proposed techniques for degenerate BSS, as well as several new algorithms that we propose. We discuss two particular methods of multichannel decompositions based on the Best Basis and Matching Pursuit algorithms, as well as several methods to compute the local separation matrices (assuming the mixing matrix is known). Numerical experiments are used to compare the performance of various combinations of the decomposition and local separation methods. On the dataset used for the experiments, it seems that BB with either cosine packets of wavelet packets (Beylkin, Vaidyanathan, Battle3 or Battle 5 filter) are the best choices in terms of overall performance because they introduce a relatively low level of artefacts in the estimation of the sources; MP introduces slightly more artefacts, but can improve the rejection of the unwanted sources.
Keywords :
Type de document :
Communication dans un congrès
Unser, M.A. and Aldroubi, A. and Laine, A.F. Proc. SPIE '03, Aug 2003, San Diego, CA, United States. Society of Photo-Optical Instrumentation Engineers, 5207 Wavelets: Applications in Signal and Image Processing X, pp.297-310, 2003, 〈10.1117/12.504790〉
Domaine :

Littérature citée [51 références]

https://hal.inria.fr/inria-00576207
Contributeur : Rémi Gribonval <>
Soumis le : dimanche 13 mars 2011 - 16:07:39
Dernière modification le : vendredi 16 novembre 2018 - 01:25:14
Document(s) archivé(s) le : mardi 14 juin 2011 - 02:29:57

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Rémi Gribonval. Piecewise Linear Source Separation. Unser, M.A. and Aldroubi, A. and Laine, A.F. Proc. SPIE '03, Aug 2003, San Diego, CA, United States. Society of Photo-Optical Instrumentation Engineers, 5207 Wavelets: Applications in Signal and Image Processing X, pp.297-310, 2003, 〈10.1117/12.504790〉. 〈inria-00576207〉

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