Orthonormal MRA wavelets: spectral formulas and algorithms
type: Item
instance of: scholarly article
zbMATH Open document ID: 1245.42028
DOI: 10.1142/S021969131100450X
author: S. Villullas
author: Fernando Gómez-Cubillo
author: Z. Suchanecki
published in: International Journal of Wavelets, Multiresolution and Information Processing
publication date: 2012-06-20T00:00:00Z
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 47N40
zbMATH DE Number: 6048370
zbMATH Keywords: orthonormal wavelets
zbMATH Keywords: spectral analysis
zbMATH Keywords: multiresolution analysis
MaRDI profile type: Publication
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full work available at URL: s021969131100450x
OpenAlex ID: W1988851681
title: Orthonormal MRA wavelets: spectral formulas and algorithms
review text: The authors present and develop an approach to orthonormal wavelets obtained from a multiresolution analysis based on the idea that functions in \(L^2(\mathbb R)\) can be given in terms of an orthonormal basis of \(L^2[0,1)\) and integer translations thereof as well as of an orthonormal basis of \(L^2[\pm 1,\pm 2)\) and dyadic dilations of these bases. Thus the relations between the scaling function and the wavelet and algorithms for computing these are expressed in terms of the coefficients in the representation between these two expansions. The case where the bases in \(L^2[0,1)\) and \(L^2[\pm 1,\pm 2)\) are taken to be the Haar bases are studied in more detail.
reviewed by: Gustaf Gripenberg
description: scientific article; zbMATH DE number 6048370