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

Yingwei Yao; Georgios B. Giannakis

doi:10.1109/TSP.2005.843718

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 › Article › peer-review

10 Scopus citations

Abstract

We investigate the information regularity and identifiability of the blind source separation (BSS) problem with constant modulus (CM) constraints on the sources. We establish for this problem the connection between the information regularity [existence of a finite Cramér-Rao bound (CRB)] and 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)	1272-1281
Number of pages	10
Journal	IEEE Transactions on Signal Processing
Volume	53
Issue number	4
DOIs	https://doi.org/10.1109/TSP.2005.843718
State	Published - Apr 2005

Bibliographical note

Funding Information:
Manuscript received August 7, 2003; revised April 12, 2004. This work was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the U.S. Army Research Laboratory under the Collaborative Technology Alliance Program under Cooperative Agreement DAAD19-01-2-0011. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereon. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Carlos H. Muravchik.

Keywords

Blind source separation (BSS)
Constant modulus (CM)
Cramér-Rao bound (CRB)
Identifiability
Information regularity

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10.1109/TSP.2005.843718

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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 (BSS) problem with constant modulus (CM) constraints on the sources. We establish for this problem the connection between the information regularity [existence of a finite Cram{\'e}r-Rao bound (CRB)] and 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.",

keywords = "Blind source separation (BSS), Constant modulus (CM), Cram{\'e}r-Rao bound (CRB), Identifiability, Information regularity",

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

note = "Funding Information: Manuscript received August 7, 2003; revised April 12, 2004. This work was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the U.S. Army Research Laboratory under the Collaborative Technology Alliance Program under Cooperative Agreement DAAD19-01-2-0011. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereon. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Carlos H. Muravchik.",

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AU - Yao, Yingwei

AU - Giannakis, Georgios B.

N1 - Funding Information: Manuscript received August 7, 2003; revised April 12, 2004. This work was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the U.S. Army Research Laboratory under the Collaborative Technology Alliance Program under Cooperative Agreement DAAD19-01-2-0011. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereon. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Carlos H. Muravchik.

PY - 2005/4

Y1 - 2005/4

N2 - We investigate the information regularity and identifiability of the blind source separation (BSS) problem with constant modulus (CM) constraints on the sources. We establish for this problem the connection between the information regularity [existence of a finite Cramér-Rao bound (CRB)] and 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 (BSS) problem with constant modulus (CM) constraints on the sources. We establish for this problem the connection between the information regularity [existence of a finite Cramér-Rao bound (CRB)] and 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.

KW - Blind source separation (BSS)

KW - Constant modulus (CM)

KW - Cramér-Rao bound (CRB)

KW - Identifiability

KW - Information regularity

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

Abstract

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Keywords

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