Construction of orthogonal multiwavelet bases

Construction of orthogonal multiwavelet bases

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

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics Vol. 288; no. Suppl 1; pp. 162 - 172
Main Authors: Pleshcheva, E. A., Chernykh, N. I.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-04-2015
Subjects:
Mathematics
Mathematics and Statistics
multiscaling function
multiresolution analysis
multiwavelet
matrix mask
mask
Online Access:Get full text
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Description
Summary:We propose a method for constructing orthogonal multiwavelet bases of the space L 2 (ℝ) for any known multiscaling functions that generate a multiresolution analysis of dimension greater than 1.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543815020169