Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise

Ron Heimann; Amir Leshem; Ephraim Zehavi; Anthony J. Weiss

doi:10.1109/icassp.2016.7472215

Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise

Ron Heimann
, Amir Leshem
, Ephraim Zehavi
, Anthony J. Weiss

Bar-Ilan University - The Alexander Kofkin Faculty of Engineering

Tel Aviv University

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

6 Scopus citations

Abstract

The core component of a cognitive radio is its detector. When a device is equipped with multiple antennas, the detection method is usually based on an eigenvalue analysis. This paper explores the performance of the most common largest eigenvalue detector, for the case of a narrowband temporally white signal and calibrated receiver noise. In contrast to popular Gaussian assumption, our performance bounds are valid for any signal and noise that belong to the wide class of sub-Gaussian random processes. Moreover, the results are given in closed-form for any finite number of observations and antennas, in contrary to the widespread asymptotic analysis approach.

Original language	English
Title of host publication	2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2936-2940
Number of pages	5
ISBN (Electronic)	9781479999880
DOIs	https://doi.org/10.1109/icassp.2016.7472215
State	Published - 18 May 2016
Event	41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Shanghai, China Duration: 20 Mar 2016 → 25 Mar 2016

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2016-May
ISSN (Print)	1520-6149

Conference

Conference	41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016
Country/Territory	China
City	Shanghai
Period	20/03/16 → 25/03/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Chernoff bound
Sensor array
cognitive radio
random matrix
sub-Gaussian random variables

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10.1109/icassp.2016.7472215

Cite this

Heimann, R., Leshem, A., Zehavi, E., & Weiss, A. J. (2016). Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings (pp. 2936-2940). Article 7472215 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2016-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/icassp.2016.7472215

Heimann, Ron ; Leshem, Amir ; Zehavi, Ephraim et al. / Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise. 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 2936-2940 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

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abstract = "The core component of a cognitive radio is its detector. When a device is equipped with multiple antennas, the detection method is usually based on an eigenvalue analysis. This paper explores the performance of the most common largest eigenvalue detector, for the case of a narrowband temporally white signal and calibrated receiver noise. In contrast to popular Gaussian assumption, our performance bounds are valid for any signal and noise that belong to the wide class of sub-Gaussian random processes. Moreover, the results are given in closed-form for any finite number of observations and antennas, in contrary to the widespread asymptotic analysis approach.",

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Heimann, R, Leshem, A, Zehavi, E & Weiss, AJ 2016, Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise. in 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings., 7472215, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, vol. 2016-May, Institute of Electrical and Electronics Engineers Inc., pp. 2936-2940, 41st IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016, Shanghai, China, 20/03/16. https://doi.org/10.1109/icassp.2016.7472215

Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise. / Heimann, Ron; Leshem, Amir; Zehavi, Ephraim et al.
2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2016. p. 2936-2940 7472215 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; Vol. 2016-May).

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

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Heimann R, Leshem A, Zehavi E, Weiss AJ. Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise. In 2016 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2016 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2016. p. 2936-2940. 7472215. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/icassp.2016.7472215

Non-asymptotic performance bounds of eigenvalue based detection of signals in non-Gaussian noise

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Keywords

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