Filter design based on the fractional Fourier transform associated with new convolutions and correlations

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2022
Outros Autores: Minh, L. T., Tuan, N. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/33910
Resumo: We introduce new convolutions and correlations associated with the Fractional Fourier Transform (FrFT) which present a significant simplicity in both the time and FrFT domains. This allows for several consequences and applications, among which we highlight the design of some multiplicative filters in the FrFT domain having a significant simplicity when compared with the already known ones. Thus, this has consequences e.g. in signal filtering due to the need of modification of a calculated signal to remove undesirable aspects of the signal before it is used in a calculation or a controller. In special, we propose a new filter design implementation which exhibits advantages in comparison to other known ones. Concrete examples are presented to illustrate the theory.
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spelling Filter design based on the fractional Fourier transform associated with new convolutions and correlationsConvolutionFilterSignalFractional Fourier transformFourier transformWe introduce new convolutions and correlations associated with the Fractional Fourier Transform (FrFT) which present a significant simplicity in both the time and FrFT domains. This allows for several consequences and applications, among which we highlight the design of some multiplicative filters in the FrFT domain having a significant simplicity when compared with the already known ones. Thus, this has consequences e.g. in signal filtering due to the need of modification of a calculated signal to remove undesirable aspects of the signal before it is used in a calculation or a controller. In special, we propose a new filter design implementation which exhibits advantages in comparison to other known ones. Concrete examples are presented to illustrate the theory.Springer Nature2023-03-08T00:00:00Z2022-03-08T00:00:00Z2022-03-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/33910eng10.1007/s40096-022-00462-4Castro, L. P.Minh, L. T.Tuan, N. M.info:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:04:28Zoai:ria.ua.pt:10773/33910Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:55.516366Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Filter design based on the fractional Fourier transform associated with new convolutions and correlations
title Filter design based on the fractional Fourier transform associated with new convolutions and correlations
spellingShingle Filter design based on the fractional Fourier transform associated with new convolutions and correlations
Castro, L. P.
Convolution
Filter
Signal
Fractional Fourier transform
Fourier transform
title_short Filter design based on the fractional Fourier transform associated with new convolutions and correlations
title_full Filter design based on the fractional Fourier transform associated with new convolutions and correlations
title_fullStr Filter design based on the fractional Fourier transform associated with new convolutions and correlations
title_full_unstemmed Filter design based on the fractional Fourier transform associated with new convolutions and correlations
title_sort Filter design based on the fractional Fourier transform associated with new convolutions and correlations
author Castro, L. P.
author_facet Castro, L. P.
Minh, L. T.
Tuan, N. M.
author_role author
author2 Minh, L. T.
Tuan, N. M.
author2_role author
author
dc.contributor.author.fl_str_mv Castro, L. P.
Minh, L. T.
Tuan, N. M.
dc.subject.por.fl_str_mv Convolution
Filter
Signal
Fractional Fourier transform
Fourier transform
topic Convolution
Filter
Signal
Fractional Fourier transform
Fourier transform
description We introduce new convolutions and correlations associated with the Fractional Fourier Transform (FrFT) which present a significant simplicity in both the time and FrFT domains. This allows for several consequences and applications, among which we highlight the design of some multiplicative filters in the FrFT domain having a significant simplicity when compared with the already known ones. Thus, this has consequences e.g. in signal filtering due to the need of modification of a calculated signal to remove undesirable aspects of the signal before it is used in a calculation or a controller. In special, we propose a new filter design implementation which exhibits advantages in comparison to other known ones. Concrete examples are presented to illustrate the theory.
publishDate 2022
dc.date.none.fl_str_mv 2022-03-08T00:00:00Z
2022-03-08
2023-03-08T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/33910
url http://hdl.handle.net/10773/33910
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/s40096-022-00462-4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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