Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring

Detalhes bibliográficos
Autor(a) principal: Gossler, F. E. [UNESP]
Data de Publicação: 2021
Outros Autores: Oliveira, B. R. [UNESP], Duarte, M. A. Q., Vieira, J. [UNESP], Villarreal, F. [UNESP], Lamblém, R. L.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.5540/tcam.2021.022.01.00139
http://hdl.handle.net/11449/212269
Resumo: In this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions. In this case, the order of the derivative also indicates the number of vanishing moments of the wavelet. Although these wavelets have a similar waveform, they have several distinct characteristics in time and frequency domains. These distinctions are explored here in the scale space. In order to compare the results provided by these wavelets for a real signal, they are used in the decomposition of a signal inserted in the context of structural health monitoring.
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spelling Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoringgaussian waveletsgolden waveletsvanishing momentsstructural health monitoringwavelets gaussianawavelets goldenmomentos nulosmonitoramento de integridade estruturalIn this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions. In this case, the order of the derivative also indicates the number of vanishing moments of the wavelet. Although these wavelets have a similar waveform, they have several distinct characteristics in time and frequency domains. These distinctions are explored here in the scale space. In order to compare the results provided by these wavelets for a real signal, they are used in the decomposition of a signal inserted in the context of structural health monitoring.Neste trabalho, uma análise comparativa entre as wavelets Gaussianas e Golden é apresentada. Tais wavelets são geradas pela derivada de uma função basica específica. Nesse caso, a ordem da derivada também indica o número de momentos nulos da wavelet. Embora essas wavelets tenham formas de onda muito semelhantes, elas possuem várias características distintas nos domínios do tempo e da frequência. Essas distinções são exploradas aqui no espaço de escalas. A fim de comparar os resultados das wavelets para um sinal real, essas wavelets são usadas na decomposição de um sinal inserido no contexto do sistemas de monitoramento de integridade estrutural.São Paulo State University, Department of Electrical EngineeringMato Grosso do Sul State University, Department of MathematicsSão Paulo State University, Department of MathematicsSão Paulo State University, Department of Electrical EngineeringSão Paulo State University, Department of MathematicsSociedade Brasileira de Matemática Aplicada e Computacional - SBMACUniversidade Estadual Paulista (Unesp)Mato Grosso do Sul State UniversityGossler, F. E. [UNESP]Oliveira, B. R. [UNESP]Duarte, M. A. Q.Vieira, J. [UNESP]Villarreal, F. [UNESP]Lamblém, R. L.2021-07-14T10:37:15Z2021-07-14T10:37:15Z2021-04-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article139-155application/pdfhttp://dx.doi.org/10.5540/tcam.2021.022.01.00139Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 1, p. 139-155, 2021.2676-0029http://hdl.handle.net/11449/21226910.5540/tcam.2021.022.01.00139S2676-00292021000100139S2676-00292021000100139.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTrends in Computational and Applied Mathematicsinfo:eu-repo/semantics/openAccess2023-12-19T06:18:39Zoai:repositorio.unesp.br:11449/212269Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-19T06:18:39Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
title Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
spellingShingle Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
Gossler, F. E. [UNESP]
gaussian wavelets
golden wavelets
vanishing moments
structural health monitoring
wavelets gaussiana
wavelets golden
momentos nulos
monitoramento de integridade estrutural
title_short Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
title_full Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
title_fullStr Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
title_full_unstemmed Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
title_sort Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
author Gossler, F. E. [UNESP]
author_facet Gossler, F. E. [UNESP]
Oliveira, B. R. [UNESP]
Duarte, M. A. Q.
Vieira, J. [UNESP]
Villarreal, F. [UNESP]
Lamblém, R. L.
author_role author
author2 Oliveira, B. R. [UNESP]
Duarte, M. A. Q.
Vieira, J. [UNESP]
Villarreal, F. [UNESP]
Lamblém, R. L.
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Mato Grosso do Sul State University
dc.contributor.author.fl_str_mv Gossler, F. E. [UNESP]
Oliveira, B. R. [UNESP]
Duarte, M. A. Q.
Vieira, J. [UNESP]
Villarreal, F. [UNESP]
Lamblém, R. L.
dc.subject.por.fl_str_mv gaussian wavelets
golden wavelets
vanishing moments
structural health monitoring
wavelets gaussiana
wavelets golden
momentos nulos
monitoramento de integridade estrutural
topic gaussian wavelets
golden wavelets
vanishing moments
structural health monitoring
wavelets gaussiana
wavelets golden
momentos nulos
monitoramento de integridade estrutural
description In this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions. In this case, the order of the derivative also indicates the number of vanishing moments of the wavelet. Although these wavelets have a similar waveform, they have several distinct characteristics in time and frequency domains. These distinctions are explored here in the scale space. In order to compare the results provided by these wavelets for a real signal, they are used in the decomposition of a signal inserted in the context of structural health monitoring.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-14T10:37:15Z
2021-07-14T10:37:15Z
2021-04-05
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://dx.doi.org/10.5540/tcam.2021.022.01.00139
Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 1, p. 139-155, 2021.
2676-0029
http://hdl.handle.net/11449/212269
10.5540/tcam.2021.022.01.00139
S2676-00292021000100139
S2676-00292021000100139.pdf
url http://dx.doi.org/10.5540/tcam.2021.022.01.00139
http://hdl.handle.net/11449/212269
identifier_str_mv Trends in Computational and Applied Mathematics. Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC, v. 22, n. 1, p. 139-155, 2021.
2676-0029
10.5540/tcam.2021.022.01.00139
S2676-00292021000100139
S2676-00292021000100139.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Trends in Computational and Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 139-155
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional - SBMAC
dc.source.none.fl_str_mv SciELO
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1799965332331298816

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