On the finite sample behavior of the constant modulus cost

Amir Leshem; Alle Jan Van Der Veen

doi:10.1109/ICASSP.2000.860965

On the finite sample behavior of the constant modulus cost

Amir Leshem, Alle Jan Van Der Veen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

We study the location of local minima of the finite sample approximation to the constant modulus cost function. This paper concentrates on source separation. The main result is a connection between the number of samples and the probability of obtaining a local minimum of the finite approximation within a given sphere around the local minimum of the CM cost function. The motivations for our study are two problems: equalization of communication signals, and blind separation of a desired signal in multiuser environment. In order to maintain simplicity we focus on the case of blind beamforming which is somewhat simpler to analyze.

Original language	English
Title of host publication	CommunicationsSensor Array and Multichannel Signal Processing
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2537-2540
Number of pages	4
ISBN (Electronic)	0780362934
DOIs	https://doi.org/10.1109/ICASSP.2000.860965
State	Published - 2000
Externally published	Yes
Event	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey Duration: 5 Jun 2000 → 9 Jun 2000

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	5
ISSN (Print)	1520-6149

Conference

Conference	25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Country/Territory	Turkey
City	Istanbul
Period	5/06/00 → 9/06/00

Bibliographical note

Publisher Copyright:
© 2000 IEEE.

Access to Document

10.1109/ICASSP.2000.860965

Cite this

Leshem, A., & Van Der Veen, A. J. (2000). On the finite sample behavior of the constant modulus cost. In CommunicationsSensor Array and Multichannel Signal Processing (pp. 2537-2540). Article 860965 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 5). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2000.860965

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abstract = "We study the location of local minima of the finite sample approximation to the constant modulus cost function. This paper concentrates on source separation. The main result is a connection between the number of samples and the probability of obtaining a local minimum of the finite approximation within a given sphere around the local minimum of the CM cost function. The motivations for our study are two problems: equalization of communication signals, and blind separation of a desired signal in multiuser environment. In order to maintain simplicity we focus on the case of blind beamforming which is somewhat simpler to analyze.",

author = "Amir Leshem and {Van Der Veen}, {Alle Jan}",

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doi = "10.1109/ICASSP.2000.860965",

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Leshem, A & Van Der Veen, AJ 2000, On the finite sample behavior of the constant modulus cost. in CommunicationsSensor Array and Multichannel Signal Processing., 860965, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 5, Institute of Electrical and Electronics Engineers Inc., pp. 2537-2540, 25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000, Istanbul, Turkey, 5/06/00. https://doi.org/10.1109/ICASSP.2000.860965

On the finite sample behavior of the constant modulus cost. / Leshem, Amir; Van Der Veen, Alle Jan.
CommunicationsSensor Array and Multichannel Signal Processing. Institute of Electrical and Electronics Engineers Inc., 2000. p. 2537-2540 860965 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 5).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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On the finite sample behavior of the constant modulus cost

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