Sparse deflations in blind signal separation

Authors:
Pando Georgiev;Danielle Nuzillard;Anca Ralescu
Affiliations:
ECECS Department, University of Cincinnati, ML 0030, Cincinnati, Ohio;CReSTIC, Université de Reims – Chamapgne Ardenne (URCA), REIMS, France;ECECS Department, University of Cincinnati, ML 0030, Cincinnati, Ohio
Venue:
ICA'06 Proceedings of the 6th international conference on Independent Component Analysis and Blind Signal Separation
Year:
2006

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Abstract

We present a new deflation procedure for blind signal separation based on sparsity. It allows, under mild sparsity assumptions, to separate mixtures which could not be separated by ICA methods. We present a new algorithm for sparse deflations and apply it for sparse blind signal separation of mixtures of signals with bounded support. Relations to signals from High Performance Liquid Chromatography in chemistry are discussed and computer simulation examples are presented.