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, Issue 1,Pages <nobr>71

This article is cited 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. Katulev^a, M. F. Malevinsky^b

^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.

UDC: 004.932.2, 517.968

Received: 20.08.2016
Revised: 20.10.2016

DOI: 10.26456/vtpmk124