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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 1, Pages 221–230 (Mi timm1044)
This article is cited in 2 papers

Construction of orthogonal multiwavelet bases

E. A. Pleshchevaa, N. I. Chernykhab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after the First President of Russia B. N. Yeltsin

Abstract: We propose a method for constructing orthogonal multiwavelet bases of the space $\mathbf L^2(\mathbb R)$ for any known multiscaling functions that generate a multiresolution analysis of dimension greater than 1.

Keywords: multiwavelet, multiresolution analysis, multiscaling function, mask, matrix mask.

UDC: 517.5

Received: 05.04.2013


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 162–172

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© Steklov Math. Inst. of RAS, 2024