Optimal model for 4-band biorthogonal wavelets bases for fast calculation

A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging position and changing the sign of the two low-pass filters. Thus, the least restrictive conditions are needed for forming a wavelet so that t...

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Detalles Bibliográficos
Autores principales: Zou, Qingyun, Wang, Guoqiu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5597696/
https://www.ncbi.nlm.nih.gov/pubmed/28979084
http://dx.doi.org/10.1186/s13660-017-1495-8
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author Zou, Qingyun
Wang, Guoqiu
author_facet Zou, Qingyun
Wang, Guoqiu
author_sort Zou, Qingyun
collection PubMed
description A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging position and changing the sign of the two low-pass filters. Thus, the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement. Some concrete examples with high vanishing moments are also given, the properties of the transformation matrix are studied and the optimal model is constructed. These wavelets can process the boundary conveniently, and they lead to highly efficient computations in applications.
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spelling pubmed-55976962017-10-02 Optimal model for 4-band biorthogonal wavelets bases for fast calculation Zou, Qingyun Wang, Guoqiu J Inequal Appl Research A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging position and changing the sign of the two low-pass filters. Thus, the least restrictive conditions are needed for forming a wavelet so that the free degrees can be reversed for application requirement. Some concrete examples with high vanishing moments are also given, the properties of the transformation matrix are studied and the optimal model is constructed. These wavelets can process the boundary conveniently, and they lead to highly efficient computations in applications. Springer International Publishing 2017-09-13 2017 /pmc/articles/PMC5597696/ /pubmed/28979084 http://dx.doi.org/10.1186/s13660-017-1495-8 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Zou, Qingyun
Wang, Guoqiu
Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title_full Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title_fullStr Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title_full_unstemmed Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title_short Optimal model for 4-band biorthogonal wavelets bases for fast calculation
title_sort optimal model for 4-band biorthogonal wavelets bases for fast calculation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5597696/
https://www.ncbi.nlm.nih.gov/pubmed/28979084
http://dx.doi.org/10.1186/s13660-017-1495-8
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AT wangguoqiu optimalmodelfor4bandbiorthogonalwaveletsbasesforfastcalculation

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