Piecewise Linear Source Separation

Rémi Gribonval 1
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.
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〉
Liste complète des métadonnées

Littérature citée [51 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00576207
Contributeur : Rémi Gribonval <>
Soumis le : dimanche 13 mars 2011 - 16:07:39
Dernière modification le : mercredi 16 mai 2018 - 11:23:03
Document(s) archivé(s) le : mardi 14 juin 2011 - 02:29:57

Fichier

2003_SPIE_Gribonval_PiecewiseL...
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

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〉

Partager

Métriques

Consultations de la notice

225

Téléchargements de fichiers

363