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Real orthogonal polynomials in frequency analysis

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dc.contributor.authorBracciali, Cleonice Fátima [UNESP]
dc.contributor.authorLi, X
dc.contributor.authorRanga, A. S.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Cent Florida
dc.date.accessioned2014-05-20T14:01:31Z
dc.date.available2014-05-20T14:01:31Z
dc.date.issued2004-01-01
dc.description.abstractWe study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by using the zeros and Christoffel numbers of polynomials orthogonal on the real line. This leads to a simple and fast algorithm for the estimation of frequencies. We also provide a new method, faster than the Levinson algorithm, for the determination of the reflection coefficients of the corresponding real Szego polynomials from the given moments.en
dc.description.affiliationUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 São Paulo, Brazil
dc.description.affiliationUniv Cent Florida, Dept Math, Orlando, FL 32816 USA
dc.description.affiliationUnespUniv Estadual Paulista, IBILCE, Dept Ciências Computacao & Estatist, BR-15054000 São Paulo, Brazil
dc.format.extent341-362
dc.identifierhttp://dx.doi.org/10.1090/S0025-5718-04-01672-2
dc.identifier.citationMathematics of Computation. Providence: Amer Mathematical Soc, v. 74, n. 249, p. 341-362, 2004.
dc.identifier.doi10.1090/S0025-5718-04-01672-2
dc.identifier.issn0025-5718
dc.identifier.lattes8300322452622467
dc.identifier.lattes3587123309745610
dc.identifier.orcid0000-0002-6823-4204
dc.identifier.urihttp://hdl.handle.net/11449/21707
dc.identifier.wosWOS:000224383800016
dc.language.isoeng
dc.publisherAmer Mathematical Soc
dc.relation.ispartofMathematics of Computation
dc.relation.ispartofjcr1.750
dc.relation.ispartofsjr1,939
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectfrequency analysis problempt
dc.subjectfrequency estimationpt
dc.subjectOrthogonal polynomialspt
dc.subjectSzego polynomialspt
dc.subjectpara-orthogonal polynomialspt
dc.subjectquadraturept
dc.titleReal orthogonal polynomials in frequency analysisen
dc.typeArtigo
dcterms.licensehttp://www.ams.org/publications/journals/help/jourhtml-authors
dcterms.rightsHolderAmer Mathematical Soc
dspace.entity.typePublication
unesp.author.lattes3587123309745610[3]
unesp.author.lattes8300322452622467[1]
unesp.author.orcid0000-0002-5124-8423[3]
unesp.author.orcid0000-0002-6823-4204[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentCiências da Computação e Estatística - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas