Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels

Cyclostationary processes exhibit a form of frequency diversity. Based on that, we show that a digital waveform with symbol period T can be asymptotically represented as a rank-1 frequency-domain vector process which exhibits uncorrelation at different frequencies inside the Nyquist spectral support...

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Detalles Bibliográficos
Autores: Riba Sagarra, Jaume|||0000-0002-5515-8169, Font Segura, Josep|||0000-0002-0009-2545, Villares Piera, Nemesio Javier|||0000-0001-5701-9819, Vázquez Grau, Gregorio|||0000-0002-3007-6247
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/22790
Acceso en línea:https://hdl.handle.net/2117/22790
https://dx.doi.org/10.1109/TSP.2014.2303433
Access Level:acceso abierto
Palabra clave:Signal processing
Cognitive radio networks
GLRT
LMPIT
Cognitive radio
Cyclostationarity based detection
Spectral correlation
Timing synchronization
Frequency-smoothed cyclic periodogram
Maximum-likelyhood
Component
Tests
Noise
Tractament del senyal
Ràdio cognitiva
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
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repository_id_str
spelling Frequency-domain GLR detection of a second-order cyclostationary signal over fading channelsRiba Sagarra, Jaume|||0000-0002-5515-8169Font Segura, Josep|||0000-0002-0009-2545Villares Piera, Nemesio Javier|||0000-0001-5701-9819Vázquez Grau, Gregorio|||0000-0002-3007-6247Signal processingCognitive radio networksGLRTLMPITCognitive radioCyclostationarity based detectionSpectral correlationTiming synchronizationFrequency-smoothed cyclic periodogramMaximum-likelyhoodComponentTestsNoiseTractament del senyalRàdio cognitivaÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyalCyclostationary processes exhibit a form of frequency diversity. Based on that, we show that a digital waveform with symbol period T can be asymptotically represented as a rank-1 frequency-domain vector process which exhibits uncorrelation at different frequencies inside the Nyquist spectral support of 1/T. By resorting to the fast Fourier transform (FFT), this formulation obviates the need of estimating a cumbersome covariance matrix to characterize the likelihood function. We then derive the generalized likelihood ratio test (GLRT) for the detection of a cyclostationary signal in unknown white noise without the need of a assuming a synchronized receiver. This provides a sound theoretical basis for the exploitation of the cyclostationary feature and highlights an explicit link with classical square timing recovery schemes, which appear implicitly in the core of the GLRT. Moreover, to avoid the well-known sensitivity of cyclostationary-based detection schemes to frequency-selective fading channels, a parametric channel model based on a lower bound on the coherence bandwidth is adopted and incorporated into the GLRT. By exploiting the rank-1 structure of small spectral covariance matrices, the obtained detector outperforms the classical spectral correlation magnitude detector.Peer Reviewed20142014-04-0120142014-04-30journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/22790https://dx.doi.org/10.1109/TSP.2014.2303433reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/227902026-05-27T15:37:01Z
dc.title.none.fl_str_mv Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
title Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
spellingShingle Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
Riba Sagarra, Jaume|||0000-0002-5515-8169
Signal processing
Cognitive radio networks
GLRT
LMPIT
Cognitive radio
Cyclostationarity based detection
Spectral correlation
Timing synchronization
Frequency-smoothed cyclic periodogram
Maximum-likelyhood
Component
Tests
Noise
Tractament del senyal
Ràdio cognitiva
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
title_short Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
title_full Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
title_fullStr Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
title_full_unstemmed Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
title_sort Frequency-domain GLR detection of a second-order cyclostationary signal over fading channels
dc.creator.none.fl_str_mv Riba Sagarra, Jaume|||0000-0002-5515-8169
Font Segura, Josep|||0000-0002-0009-2545
Villares Piera, Nemesio Javier|||0000-0001-5701-9819
Vázquez Grau, Gregorio|||0000-0002-3007-6247
author Riba Sagarra, Jaume|||0000-0002-5515-8169
author_facet Riba Sagarra, Jaume|||0000-0002-5515-8169
Font Segura, Josep|||0000-0002-0009-2545
Villares Piera, Nemesio Javier|||0000-0001-5701-9819
Vázquez Grau, Gregorio|||0000-0002-3007-6247
author_role author
author2 Font Segura, Josep|||0000-0002-0009-2545
Villares Piera, Nemesio Javier|||0000-0001-5701-9819
Vázquez Grau, Gregorio|||0000-0002-3007-6247
author2_role author
author
author
dc.subject.none.fl_str_mv Signal processing
Cognitive radio networks
GLRT
LMPIT
Cognitive radio
Cyclostationarity based detection
Spectral correlation
Timing synchronization
Frequency-smoothed cyclic periodogram
Maximum-likelyhood
Component
Tests
Noise
Tractament del senyal
Ràdio cognitiva
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
topic Signal processing
Cognitive radio networks
GLRT
LMPIT
Cognitive radio
Cyclostationarity based detection
Spectral correlation
Timing synchronization
Frequency-smoothed cyclic periodogram
Maximum-likelyhood
Component
Tests
Noise
Tractament del senyal
Ràdio cognitiva
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
description Cyclostationary processes exhibit a form of frequency diversity. Based on that, we show that a digital waveform with symbol period T can be asymptotically represented as a rank-1 frequency-domain vector process which exhibits uncorrelation at different frequencies inside the Nyquist spectral support of 1/T. By resorting to the fast Fourier transform (FFT), this formulation obviates the need of estimating a cumbersome covariance matrix to characterize the likelihood function. We then derive the generalized likelihood ratio test (GLRT) for the detection of a cyclostationary signal in unknown white noise without the need of a assuming a synchronized receiver. This provides a sound theoretical basis for the exploitation of the cyclostationary feature and highlights an explicit link with classical square timing recovery schemes, which appear implicitly in the core of the GLRT. Moreover, to avoid the well-known sensitivity of cyclostationary-based detection schemes to frequency-selective fading channels, a parametric channel model based on a lower bound on the coherence bandwidth is adopted and incorporated into the GLRT. By exploiting the rank-1 structure of small spectral covariance matrices, the obtained detector outperforms the classical spectral correlation magnitude detector.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-04-01
2014
2014-04-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/22790
https://dx.doi.org/10.1109/TSP.2014.2303433
url https://hdl.handle.net/2117/22790
https://dx.doi.org/10.1109/TSP.2014.2303433
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301629

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