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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1467–1474
DOI: https://doi.org/10.33048/semi.2021.18.109 (Mi semr1453) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Periodic interpolating-orthogonal bases of MRA and wavelets

E. A. Pleshcheva

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaya str., Ekaterinburg, 620990, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.109
Abstract: The paper is devoted to the construction of interpolating-orthogonal periodic bases of mutiresolution analysis and corresponding wavelets from the existing orthogonal bases of wavelets. The mask $m(\omega)$ of an orthogonal scaling function $\varphi(x)$ is converted in such a way that the new scaling function $\varphi^I (x)$ generates an interpolation and orthogonal system of integer shifts. According to the resulting system, periodic bases of scaling functions and wavelets are constructed.
Keywords: wavelet, scaling function, multiresolution analysis, interpolating wavelet, orthogonal wavelet, periodic wavelet.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1383
Received November 21, 2021, published December 1, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 42C10
Language: Russian
Citation: E. A. Pleshcheva, “Periodic interpolating-orthogonal bases of MRA and wavelets”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1467–1474
Citation in format AMSBIB
\Bibitem{Ple21}
\by E.~A.~Pleshcheva
\paper Periodic interpolating-orthogonal bases of MRA and wavelets
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1467--1474
\mathnet{http://mi.mathnet.ru/semr1453}
\crossref{https://doi.org/10.33048/semi.2021.18.109}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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