Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels

The basis of this paper is Wei and Tirkkonen, 2012, in which expressions for the key performance metrics of the sphericity test applied to the multiantenna cooperative spectrum sensing of multiple primary transmitters in cognitive radio networks over nonfading channels are provided. The false alarm...

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Main Authors: Dayan Adionel Guimarães, Rausley Adriano Amaral de Souza, Guilherme Pedro Aquino
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2015/165935
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author Dayan Adionel Guimarães
Rausley Adriano Amaral de Souza
Guilherme Pedro Aquino
author_facet Dayan Adionel Guimarães
Rausley Adriano Amaral de Souza
Guilherme Pedro Aquino
author_sort Dayan Adionel Guimarães
collection DOAJ
description The basis of this paper is Wei and Tirkkonen, 2012, in which expressions for the key performance metrics of the sphericity test applied to the multiantenna cooperative spectrum sensing of multiple primary transmitters in cognitive radio networks over nonfading channels are provided. The false alarm and the detection probabilities were derived in Wei and Tirkkonen, 2012, based on approximations obtained by matching the moments of the test statistics to the Beta distribution. In this paper we show that the model adopted in Wei and Tirkkonen, 2012, does not apply directly to fading channels, yet being considerably inaccurate for some system parameters and channel conditions. Nevertheless, we show that the original expressions from Wei and Tirkkonen, 2012, can be simply and accurately applied to a modified model that considers fixed or time-varying channels with any fading statistic. We also analyze the performance of the sphericity test and other competing detectors with a varying number of primary transmitters, considering different situations in terms of the channel gains and channel dynamics. Based on our results, we correct several interpretations from Wei and Tirkkonen, 2012, in what concerns the performance of the detectors, both over a fixed-gain additive white Gaussian noise channel and over a time-varying Rayleigh fading channel.
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institution Kabale University
issn 1687-5869
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language English
publishDate 2015-01-01
publisher Wiley
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series International Journal of Antennas and Propagation
spelling doaj-art-99278467219b4659a8942eb97659ffb82025-02-03T01:10:07ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/165935165935Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading ChannelsDayan Adionel Guimarães0Rausley Adriano Amaral de Souza1Guilherme Pedro Aquino2National Institute of Telecommunications (INATEL), P.O. Box 05, 37540-000 Santa Rita do Sapucaí, MG, BrazilNational Institute of Telecommunications (INATEL), P.O. Box 05, 37540-000 Santa Rita do Sapucaí, MG, BrazilNational Institute of Telecommunications (INATEL), P.O. Box 05, 37540-000 Santa Rita do Sapucaí, MG, BrazilThe basis of this paper is Wei and Tirkkonen, 2012, in which expressions for the key performance metrics of the sphericity test applied to the multiantenna cooperative spectrum sensing of multiple primary transmitters in cognitive radio networks over nonfading channels are provided. The false alarm and the detection probabilities were derived in Wei and Tirkkonen, 2012, based on approximations obtained by matching the moments of the test statistics to the Beta distribution. In this paper we show that the model adopted in Wei and Tirkkonen, 2012, does not apply directly to fading channels, yet being considerably inaccurate for some system parameters and channel conditions. Nevertheless, we show that the original expressions from Wei and Tirkkonen, 2012, can be simply and accurately applied to a modified model that considers fixed or time-varying channels with any fading statistic. We also analyze the performance of the sphericity test and other competing detectors with a varying number of primary transmitters, considering different situations in terms of the channel gains and channel dynamics. Based on our results, we correct several interpretations from Wei and Tirkkonen, 2012, in what concerns the performance of the detectors, both over a fixed-gain additive white Gaussian noise channel and over a time-varying Rayleigh fading channel.http://dx.doi.org/10.1155/2015/165935
spellingShingle Dayan Adionel Guimarães
Rausley Adriano Amaral de Souza
Guilherme Pedro Aquino
Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
International Journal of Antennas and Propagation
title Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
title_full Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
title_fullStr Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
title_full_unstemmed Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
title_short Multiantenna Spectrum Sensing in the Presence of Multiple Primary Users over Fading and Nonfading Channels
title_sort multiantenna spectrum sensing in the presence of multiple primary users over fading and nonfading channels
url http://dx.doi.org/10.1155/2015/165935
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AT rausleyadrianoamaraldesouza multiantennaspectrumsensinginthepresenceofmultipleprimaryusersoverfadingandnonfadingchannels
AT guilhermepedroaquino multiantennaspectrumsensinginthepresenceofmultipleprimaryusersoverfadingandnonfadingchannels