Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , , |
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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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:29462024-08-05T20:42:27.626081Repositório 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_ |
1808129237272494080 |