On regularity and identifiability of blind source separation under constant-modulus constraints

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Abstract

We investigate the information regularity and identifiability of the blind source separation problem with constant modulus constraints on the sources. We demonstrate that the information regularity (existence of a finite Cramér-Rao bound) is closely related to local identifiability. Sufficient and necessary conditions for local identifiability are derived. We also study the conditions under which unique (global) identifiability is guaranteed within the inherently unresolvable ambiguities on phase rotation and source permutation. Both sufficient and necessary conditions are obtained.

Original languageEnglish (US)
Pages (from-to)IV-449-IV-452
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume4
StatePublished - Sep 27 2004
EventProceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada
Duration: May 17 2004May 21 2004

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