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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
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
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
Linking options:
https://www.mathnet.ru/eng/vtpmk124 https://www.mathnet.ru/eng/vtpmk/y2017/i1/p71
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Abstract page: | 296 | Full-text PDF : | 177 | References: | 50 |
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