Real orthogonal polynomials in frequency analysis
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
20/05/2014
20/05/2014
01/01/2004
|
Resumo |
We 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. |
Formato |
341-362 |
Identificador |
http://dx.doi.org/10.1090/S0025-5718-04-01672-2 Mathematics of Computation. Providence: Amer Mathematical Soc, v. 74, n. 249, p. 341-362, 2004. 0025-5718 http://hdl.handle.net/11449/21707 10.1090/S0025-5718-04-01672-2 WOS:000224383800016 |
Idioma(s) |
eng |
Publicador |
Amer Mathematical Soc |
Relação |
Mathematics of Computation |
Direitos |
openAccess |
Palavras-Chave | #frequency analysis problem #frequency estimation #Orthogonal polynomials #Szego polynomials #para-orthogonal polynomials #quadrature |
Tipo |
info:eu-repo/semantics/article |