Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2017, Issue 1, Pages 71–84
DOI: https://doi.org/10.26456/vtpmk124
(Mi vtpmk124)
 

This article is cited in 1 scientific paper (total in 1 paper)

System Analysis, Control and Data Processing

A family of wavelets based on a prolate spheroidal wave function of zero order

A. N. Katuleva, M. F. Malevinskyb

a Central Scientific Research Institute of the Aerospace Defense of the Russian Ministry of Defense, Tver
b Tver State University, Tver
Full-text PDF (399 kB) Citations (1)
References:
Abstract: In this article class of wavelets on the basis of zero order prolate spheroidal wave function is synthesized. Prolate spheroidal wave function is mother wavelet. This function dominates by energy each of well-known mother wavelets on given support. This article is contribution to the theory and practice of wavelet-analysis.
Keywords: wavelet, prolate spheroidal wave function, scaling function.
Received: 20.08.2016
Revised: 20.10.2016
Bibliographic databases:
Document Type: Article
UDC: 004.932.2, 517.968
Language: Russian
Citation: A. N. Katulev, M. F. Malevinsky, “A family of wavelets based on a prolate spheroidal wave function of zero order”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1, 71–84
Citation in format AMSBIB
\Bibitem{KatMal17}
\by A.~N.~Katulev, M.~F.~Malevinsky
\paper A family of wavelets based on a prolate spheroidal wave function of zero order
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 1
\pages 71--84
\mathnet{http://mi.mathnet.ru/vtpmk124}
\crossref{https://doi.org/10.26456/vtpmk124}
\elib{https://elibrary.ru/item.asp?id=28786648}
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  • https://www.mathnet.ru/eng/vtpmk124
  • https://www.mathnet.ru/eng/vtpmk/y2017/i1/p71
  • This publication is cited in the following 1 articles:
    1. A. N. Katulev, M. F. Malevinskii, “Metody i algoritmy povysheniya kachestva slabokontrastnogo 2D izobrazheniya, obnaruzhivaemogo optiko-elektronnym priborom dinamicheskogo ob'ekta”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 3, 95–111  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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    Abstract page:296
    Full-text PDF :177
    References:50
     
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