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

Yingwei Yao; Georgios B. Giannakis

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

Yingwei Yao, Georgios B. Giannakis

Electrical and Computer Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	IV-449-IV-452
Journal	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	4
State	Published - Sep 27 2004
Event	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada Duration: May 17 2004 → May 21 2004

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title = "On regularity and identifiability of blind source separation under constant-modulus constraints",

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 Cram{\'e}r-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.",

author = "Yingwei Yao and Giannakis, {Georgios B.}",

year = "2004",

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note = "Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing ; Conference date: 17-05-2004 Through 21-05-2004",

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T1 - On regularity and identifiability of blind source separation under constant-modulus constraints

AU - Yao, Yingwei

AU - Giannakis, Georgios B.

PY - 2004/9/27

Y1 - 2004/9/27

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:4544366059

VL - 4

SP - IV-449-IV-452

JO - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

JF - Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing

SN - 0736-7791

T2 - Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing

Y2 - 17 May 2004 through 21 May 2004

ER -