On the identifiability testing in blind source separation using resampling technique

Authors:
Abdeldjalil Aïssa-El-Bey;Karim Abed-Meraim;Yues Grenier
Affiliations:
TSI department, ENST, Paris, France;TSI department, ENST, Paris, France;TSI department, ENST, Paris, 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 the second order identifiability problem of blind source separation and its testing. We present first necessary and sufficient conditions for the identifiability and partial identifiability using a finite set of correlation matrices. These conditions depend on the autocorrelation fonction of the unknown sources. However, it is shown here that they can be tested directly from the observation through the decorrelator output. This issue is of prime importance to decide whether the sources have been well separated or else if further treatments are needed. We then propose an identifiability testing based on resampling (jackknife) technique, that is validated by simulation results.