Symmetry feature and construction for the 3-band tight framelets with prescribed properties
type: Item
instance of: scholarly article
title: Symmetry feature and construction for the 3-band tight framelets with prescribed properties
zbMATH Open document ID: 1252.42048
DOI: 10.1155/2012/907175
author: Jianjun Sun
author: Bin Huang
author: Xiaodong Chen
author: Lihong Cui
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: A construction approach for the 3-band tight wavelet frames by the factorization of the paraunitary matrix is developed. Several necessary constraints on the filter lengths and symmetric features of the wavelet frames are investigated starting at the constructed paraunitary matrix. The matrix is a symmetric extension of the polyphase matrix corresponding to 3-band tight wavelet frames. Further, the parameterizations of 3-band tight wavelet frames with filter lengths are established. Examples of framelets with symmetry/antisymmetry and Sobolev exponent are computed by appropriately choosing the parameters in the scheme.
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6106341
Wikidata QID: Q58906924
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/907175
OpenAlex ID: W2069419586
cites work: Q4717966
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description: scientific article; zbMATH DE number 6106341