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Fractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem

dc.creatorTorres R.
dc.creatorLizarazo Z.
dc.creatorTorres E.
dc.date.accessioned2020-03-26T16:32:49Z
dc.date.available2020-03-26T16:32:49Z
dc.date.issued2014
dc.identifier.citationIEEE Transactions on Signal Processing; Vol. 62, Núm. 14; pp. 3695-3705
dc.identifier.issn1053587X
dc.identifier.urihttps://hdl.handle.net/20.500.12585/9036
dc.description.abstractConsidering that fractional correlation function and the fractional power spectral density, for -stationary random signals, form a fractional Fourier transform pair. We present an interpolation formula to estimate a random signal from a temporal random series, based on the fractional sampling theorem for -bandlimited random signals. Furthermore, by establishing the relationship between the sampling theorem and the von Neumann ergodic theorem, the estimation of the power spectral density of a random signal from one sample signal becomes a suitable approach. Thus, the validity of the sampling theorem for random signals is closely linked to an ergodic hypothesis in the mean sense. © 2014 IEEE.eng
dc.format.mediumRecurso electrónico
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourcehttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84903694215&doi=10.1109%2fTSP.2014.2328977&partnerID=40&md5=0cb6bcebd7e51b7bb66bab03e6173451
dc.titleFractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem
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datacite.rightshttp://purl.org/coar/access_right/c_16ec
oaire.resourceTypehttp://purl.org/coar/resource_type/c_6501
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.driverinfo:eu-repo/semantics/article
dc.type.hasversioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1109/TSP.2014.2328977
dc.subject.keywordsFractional correlation
dc.subject.keywordsFractional power spectrum
dc.subject.keywordsRactional Fourier transform
dc.subject.keywordsSampling theorem
dc.subject.keywordsStochastic processes
dc.subject.keywordsPower spectral density
dc.subject.keywordsRandom processes
dc.subject.keywordsFractional correlation
dc.subject.keywordsFractional Fourier transforms
dc.subject.keywordsFractional power
dc.subject.keywordsFractional power spectral density
dc.subject.keywordsFractional sampling
dc.subject.keywordsInterpolation formulas
dc.subject.keywordsSampling theorems
dc.subject.keywordsStationary random signal
dc.subject.keywordsDigital signal processing
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.ccAtribución-NoComercial 4.0 Internacional
dc.identifier.instnameUniversidad Tecnológica de Bolívar
dc.identifier.reponameRepositorio UTB
dc.type.spaArtículo
dc.identifier.orcid56270896900
dc.identifier.orcid8330328300
dc.identifier.orcid35094573000


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