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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2020 Volume 20, Issue 3, Pages 367–377 (Mi isu853)

This article is cited in 1 paper

Scientific Part
Computer Sciences

Ternary discrete wavelet basis

M. S. Bespalov

Vladimir State University, 87 Gorky St., Vladimir 600000, Russia

Abstract: The discrete version and the basic construction of the ternary multiresolution analysis are given, similar to the binary model case of the Haar multiresolution analysis. Based on the constructed basis, an algorithm similar to the fast Haar transformation is proposed. Typical calculation examples are provided.

Key words: discrete harmonic analysis, discrete Haar transform, wavelet, shifts and dilations, multiresolution analysis.

UDC: 519.72

Received: 06.05.2019
Revised: 31.12.2019

DOI: 10.18500/1816-9791-2020-20-3-367-377



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