On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions

We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a...

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Detalles Bibliográficos
Autor principal: Uzun, Banu Ünalmış
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487943/
https://www.ncbi.nlm.nih.gov/pubmed/28680229
http://dx.doi.org/10.1186/s13660-017-1402-3
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author Uzun, Banu Ünalmış
author_facet Uzun, Banu Ünalmış
author_sort Uzun, Banu Ünalmış
collection PubMed
description We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform.
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spelling pubmed-54879432017-07-03 On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions Uzun, Banu Ünalmış J Inequal Appl Research We state the fractional Fourier transform and the continuous fractional wave packet transform as ways for analyzing persistent signals such as almost periodic functions and strong limit power signals. We construct frame decompositions for almost periodic functions using these two transforms. Also a norm equality of this signal is given using the continuous fractional wave packet transform. Springer International Publishing 2017-06-02 2017 /pmc/articles/PMC5487943/ /pubmed/28680229 http://dx.doi.org/10.1186/s13660-017-1402-3 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
Uzun, Banu Ünalmış
On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title_full On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title_fullStr On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title_full_unstemmed On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title_short On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions
title_sort on the fractional fourier and continuous fractional wave packet transforms of almost periodic functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487943/
https://www.ncbi.nlm.nih.gov/pubmed/28680229
http://dx.doi.org/10.1186/s13660-017-1402-3
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