Modification of a method using Szegő polynomials in frequency analysis: The \(V\)-process

DOI10.1016/S0377-0427(00)00674-9zbMath0983.42014OpenAlexW2134251456MaRDI QIDQ5946624

Vigdis Brevik Petersen

Publication date: 14 October 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00674-9

zbMATH Keywords

momentsSzegő polynomialsfrequency analysisToeplitz determinantsmodificationstrigonometric signal

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Application of orthogonal and other special functions (94A11)

Related Items (6)

A case of Toeplitz determinants and theta functions in frequency analysis ⋮ A limit theorem for Szegö polynomials with respect to convolution of point masses with the Fejér kernel ⋮ Modifications of the moments in frequency analysis ⋮ Limits for Szegö polynomials in frequency analysis ⋮ Asymptotic behavior of Szegö polynomials ⋮ Multiple zeros in frequency analysis: The \(T(r)\)-process

Cites Work

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• Asymptotics for zeros of Szegő polynomials associated with trigonometric polynomial signals
• On measures in frequency analysis
• Generalized Szegö theory in frequency analysis
• Szegő polynomials applied to frequency analysis
• Asymptotics of columns in the table of orthogonal polynomials with varying measures
• Weak convergence and boundedness properties of measures in frequency analysis

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