A Review of Sample and Hold Systems and Design of a New Fractional Algorithm

Detalhes bibliográficos
Autor(a) principal: Ortigueira, Manuel Duarte
Data de Publicação: 2020
Outros Autores: Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/18623
Resumo: Digital systems require sample and hold (S&H) systems to perform the conversion from analog to digital and vice versa. Besides the standard zero and first order holds, we find in the literature other versions, namely the fractional and exponential order holds, involving parameters that can be tuned to produce a superior performance. This paper reviews the fundamental concepts associated with the S&H and proposes a new fractional version. The systems are modeled both in the time and Laplace domains. The new S&H stemming from fractional calculus generalizes these devices. The different S&H systems are compared in the frequency domain and their relationships visualized by means of hierarchical clustering and multidimensional scaling representations. The novel strategy allows a better understanding of the possibilities and limitations of S&H systems.
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spelling A Review of Sample and Hold Systems and Design of a New Fractional AlgorithmSample and holdFractional calculusHierarchical clusteringMultidimensional scalingDistancesDigital systems require sample and hold (S&H) systems to perform the conversion from analog to digital and vice versa. Besides the standard zero and first order holds, we find in the literature other versions, namely the fractional and exponential order holds, involving parameters that can be tuned to produce a superior performance. This paper reviews the fundamental concepts associated with the S&H and proposes a new fractional version. The systems are modeled both in the time and Laplace domains. The new S&H stemming from fractional calculus generalizes these devices. The different S&H systems are compared in the frequency domain and their relationships visualized by means of hierarchical clustering and multidimensional scaling representations. The novel strategy allows a better understanding of the possibilities and limitations of S&H systems.This work was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020.MDPIRepositório Científico do Instituto Politécnico do PortoOrtigueira, Manuel DuarteMachado, J. A. Tenreiro2021-09-29T13:27:29Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/18623eng10.3390/app10207360info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T13:10:26Zoai:recipp.ipp.pt:10400.22/18623Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:38:10.545599Repositório 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 A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
title A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
spellingShingle A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
Ortigueira, Manuel Duarte
Sample and hold
Fractional calculus
Hierarchical clustering
Multidimensional scaling
Distances
title_short A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
title_full A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
title_fullStr A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
title_full_unstemmed A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
title_sort A Review of Sample and Hold Systems and Design of a New Fractional Algorithm
author Ortigueira, Manuel Duarte
author_facet Ortigueira, Manuel Duarte
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Ortigueira, Manuel Duarte
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Sample and hold
Fractional calculus
Hierarchical clustering
Multidimensional scaling
Distances
topic Sample and hold
Fractional calculus
Hierarchical clustering
Multidimensional scaling
Distances
description Digital systems require sample and hold (S&H) systems to perform the conversion from analog to digital and vice versa. Besides the standard zero and first order holds, we find in the literature other versions, namely the fractional and exponential order holds, involving parameters that can be tuned to produce a superior performance. This paper reviews the fundamental concepts associated with the S&H and proposes a new fractional version. The systems are modeled both in the time and Laplace domains. The new S&H stemming from fractional calculus generalizes these devices. The different S&H systems are compared in the frequency domain and their relationships visualized by means of hierarchical clustering and multidimensional scaling representations. The novel strategy allows a better understanding of the possibilities and limitations of S&H systems.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-01T00:00:00Z
2021-09-29T13:27:29Z
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/10400.22/18623
url http://hdl.handle.net/10400.22/18623
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/app10207360
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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