A robust estimator and detector of circularity of complex signals

Esa Ollila; Visa Koivunen; H. Vincent Poor

doi:10.1109/ICASSP.2011.5946262

A robust estimator and detector of circularity of complex signals

Esa Ollila, Visa Koivunen, H. Vincent Poor

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

8 Scopus citations

Abstract

Recent research has revealed that circularity (or, propriety) of complex random signals can be exploited in developing optimal signal processors. In this paper, a robust estimator of circularity is proposed. The estimate is found by solving M-estimation equations and employing a novel weighting scheme. A simple iterative algorithm for its computation is introduced. A robust circularity detector stemming from the large sample properties of the estimator is proposed. It is shown to be valid detector under the broad class of complex elliptically symmetric (CES) distributions. An illustrative example demonstrating the reliable performance of the detector in a practical signal processing application is provided.

Original language	English (US)
Title of host publication	2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings
Pages	3620-3623
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.2011.5946262
State	Published - 2011
Event	36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Prague, Czech Republic Duration: May 22 2011 → May 27 2011

Publication series

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

Other

Other	36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011
Country/Territory	Czech Republic
City	Prague
Period	5/22/11 → 5/27/11

All Science Journal Classification (ASJC) codes

Software
Signal Processing
Electrical and Electronic Engineering

Keywords

2nd-order circular complex random variable
Improper
circularity coefficient
circularity quotient

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10.1109/ICASSP.2011.5946262

Cite this

Ollila, E., Koivunen, V., & Poor, H. V. (2011). A robust estimator and detector of circularity of complex signals. In 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings (pp. 3620-3623). Article 5946262 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2011.5946262

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title = "A robust estimator and detector of circularity of complex signals",

abstract = "Recent research has revealed that circularity (or, propriety) of complex random signals can be exploited in developing optimal signal processors. In this paper, a robust estimator of circularity is proposed. The estimate is found by solving M-estimation equations and employing a novel weighting scheme. A simple iterative algorithm for its computation is introduced. A robust circularity detector stemming from the large sample properties of the estimator is proposed. It is shown to be valid detector under the broad class of complex elliptically symmetric (CES) distributions. An illustrative example demonstrating the reliable performance of the detector in a practical signal processing application is provided.",

keywords = "2nd-order circular complex random variable, Improper, circularity coefficient, circularity quotient",

author = "Esa Ollila and Visa Koivunen and Poor, {H. Vincent}",

year = "2011",

doi = "10.1109/ICASSP.2011.5946262",

language = "English (US)",

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booktitle = "2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings",

note = "36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 ; Conference date: 22-05-2011 Through 27-05-2011",

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Ollila, E, Koivunen, V & Poor, HV 2011, A robust estimator and detector of circularity of complex signals. in 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings., 5946262, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, pp. 3620-3623, 36th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011, Prague, Czech Republic, 5/22/11. https://doi.org/10.1109/ICASSP.2011.5946262

A robust estimator and detector of circularity of complex signals. / Ollila, Esa; Koivunen, Visa; Poor, H. Vincent.
2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings. 2011. p. 3620-3623 5946262 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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

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AU - Koivunen, Visa

AU - Poor, H. Vincent

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AB - Recent research has revealed that circularity (or, propriety) of complex random signals can be exploited in developing optimal signal processors. In this paper, a robust estimator of circularity is proposed. The estimate is found by solving M-estimation equations and employing a novel weighting scheme. A simple iterative algorithm for its computation is introduced. A robust circularity detector stemming from the large sample properties of the estimator is proposed. It is shown to be valid detector under the broad class of complex elliptically symmetric (CES) distributions. An illustrative example demonstrating the reliable performance of the detector in a practical signal processing application is provided.

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BT - 2011 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2011 - Proceedings

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ER -

A robust estimator and detector of circularity of complex signals

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Keywords

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