The bounds estimate of sub-band operators for multi-band wavelets

A concept of the sub-band operator of multi-band wavelets is introduced, the theory of d-circular matrices is developed and the upper bound and the lower bound of the norm of the sub-band operator are obtained. Examples are provided to illustrate the results proposed in this paper.

Detalles Bibliográficos
Autores principales: Zou, Qingyun, Wang, Guoqiu, Cao, Qian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816773/
https://www.ncbi.nlm.nih.gov/pubmed/29497263
http://dx.doi.org/10.1186/s13660-018-1630-1
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author Zou, Qingyun
Wang, Guoqiu
Cao, Qian
author_facet Zou, Qingyun
Wang, Guoqiu
Cao, Qian
author_sort Zou, Qingyun
collection PubMed
description A concept of the sub-band operator of multi-band wavelets is introduced, the theory of d-circular matrices is developed and the upper bound and the lower bound of the norm of the sub-band operator are obtained. Examples are provided to illustrate the results proposed in this paper.
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spelling pubmed-58167732018-02-27 The bounds estimate of sub-band operators for multi-band wavelets Zou, Qingyun Wang, Guoqiu Cao, Qian J Inequal Appl Research A concept of the sub-band operator of multi-band wavelets is introduced, the theory of d-circular matrices is developed and the upper bound and the lower bound of the norm of the sub-band operator are obtained. Examples are provided to illustrate the results proposed in this paper. Springer International Publishing 2018-02-17 2018 /pmc/articles/PMC5816773/ /pubmed/29497263 http://dx.doi.org/10.1186/s13660-018-1630-1 Text en © The Author(s) 2018 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
Cao, Qian
The bounds estimate of sub-band operators for multi-band wavelets
title The bounds estimate of sub-band operators for multi-band wavelets
title_full The bounds estimate of sub-band operators for multi-band wavelets
title_fullStr The bounds estimate of sub-band operators for multi-band wavelets
title_full_unstemmed The bounds estimate of sub-band operators for multi-band wavelets
title_short The bounds estimate of sub-band operators for multi-band wavelets
title_sort bounds estimate of sub-band operators for multi-band wavelets
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5816773/
https://www.ncbi.nlm.nih.gov/pubmed/29497263
http://dx.doi.org/10.1186/s13660-018-1630-1
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