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Fractional Fourier analysis of random signals and the notion of α -Stationarity of the Wigner-Ville distribution

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datacite.rightshttp://purl.org/coar/access_right/c_16ec
dc.creatorTorres R.
dc.creatorTorres E.
dc.date.accessioned2020-03-26T16:32:54Z
dc.date.available2020-03-26T16:32:54Z
dc.date.issued2013
dc.description.abstractIn this paper, a generalized notion of wide-sense α-stationarity for random signals is presented. The notion of stationarity is fundamental in the Fourier analysis of random signals. For this purpose, a definition of the fractional correlation between two random variables is introduced. It is shown that for wide-sense α-stationary random signals, the fractional correlation and the fractional power spectral density functions form a fractional Fourier transform pair. Thus, the concept of α-stationarity plays an important role in the analysis of random signals through the fractional Fourier transform for signals nonstationary in the standard formulation, but α-stationary. Furthermore, we define the α-Wigner-Ville distribution in terms of the fractional correlation function, in which the standard Fourier analysis is the particular case for α=pi2, and it leads to the Wiener-Khinchin theorem. © 1991-2012 IEEE.eng
dc.format.mediumRecurso electrónico
dc.format.mimetypeapplication/pdf
dc.identifier.citationIEEE Transactions on Signal Processing; Vol. 61, Núm. 6; pp. 1555-1560
dc.identifier.doi10.1109/TSP.2012.2236834
dc.identifier.instnameUniversidad Tecnológica de Bolívar
dc.identifier.issn1053587X
dc.identifier.orcid56270896900
dc.identifier.orcid35094573000
dc.identifier.reponameRepositorio UTB
dc.identifier.urihttps://hdl.handle.net/20.500.12585/9077
dc.language.isoeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.ccAtribución-NoComercial 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourcehttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84875015943&doi=10.1109%2fTSP.2012.2236834&partnerID=40&md5=8948c99af3dc2f6f9bcba86bcaee6a4d
dc.subject.keywordsFractional correlation
dc.subject.keywordsFractional Fourier transformation
dc.subject.keywordsFractional power spectral density
dc.subject.keywordsRandom signals
dc.subject.keywordsWiener-Khinchin theorem
dc.subject.keywordsWigner-Ville distribution
dc.subject.keywordsFractional correlation
dc.subject.keywordsFractional Fourier Transformations
dc.subject.keywordsFractional power spectral density
dc.subject.keywordsRandom signal
dc.subject.keywordsWiener-Khinchin theorem
dc.subject.keywordsFourier optics
dc.subject.keywordsPower spectral density
dc.subject.keywordsWigner-Ville distribution
dc.subject.keywordsFourier analysis
dc.titleFractional Fourier analysis of random signals and the notion of α -Stationarity of the Wigner-Ville distribution
dc.type.driverinfo:eu-repo/semantics/article
dc.type.hasversioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículo
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oaire.resourceTypehttp://purl.org/coar/resource_type/c_6501
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85

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Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.