Construction of multivariate frames using the polyphase method
type: Item
instance of: scholarly article
title: Construction of multivariate frames using the polyphase method
zbMATH Open document ID: 1362.42065
DOI: 10.1134/S0001434616090194
published in: Mathematical Notes
publication date: 2017-02-09T00:00:00Z
review text: In [the first author, Int. J. Wavelets Multiresolut. Inf. Process. 14, No. 5, Article ID 1650034, 25 p. (2016; Zbl 1351.42043)], an algorithm is suggested for the construction of an \(H\)-symmetric mask that satisfies a sum rule of arbitrary order (finite), for any symmetry group \(H\) and any appropriate symmetry center and dilation matrix in the multidimensional case. In the paper under review, on the basis of results from [loc. cit.], the authors give an algorithmic approach for the construction of symmetric frame-like wavelet systems with compact support and arbitrary approximation order using the polyphase method developed in [the second author, Appl. Comput. Harmon. Anal. 27, No. 1, 55--72 (2009; Zbl 1171.42021)].
reviewed by: S. K. Sharma
Mathematics Subject Classification ID: 42C15
zbMATH DE Number: 6682262
zbMATH Keywords: tight frame
zbMATH Keywords: dual frame
zbMATH Keywords: wavelet function
zbMATH Keywords: order of approximation
zbMATH Keywords: \(H\)-symmetry
author: A. V. Krivoshein
author: M. Skopina
MaRDI profile type: Publication
cites work: Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
cites work: Q5391108
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cites work: Symmetry property and construction of wavelets with a general dilation matrix
cites work: Approximation by frame-like wavelet systems
full work available at URL: s0001434616090194
OpenAlex ID: W2535642777
description: scientific article; zbMATH DE number 6682262