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

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.

DOI: https://doi.org/10.18500/1816-9791-2020-20-3-367-377

Full text: PDF file (267 kB)
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Bibliographic databases:

UDC: 519.72
Received: 06.05.2019
Revised: 31.12.2019

Citation: M. S. Bespalov, “Ternary discrete wavelet basis”, Izv. Saratov Univ. Math. Mech. Inform., 20:3 (2020), 367–377

Citation in format AMSBIB
\Bibitem{Bes20}
\by M.~S.~Bespalov
\paper Ternary discrete wavelet basis
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2020
\vol 20
\issue 3
\pages 367--377
\mathnet{http://mi.mathnet.ru/isu853}
\crossref{https://doi.org/10.18500/1816-9791-2020-20-3-367-377}


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