The linear interpolation method: a sampling theorem approach

Detalhes bibliográficos
Autor(a) principal: Peres,Pedro L. D.
Data de Publicação: 2003
Outros Autores: Bonatti,Ivanil S., Borelli,Walter C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Sba: Controle & Automação Sociedade Brasileira de Automatica
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400012
Resumo: A lecture note introducing the sampling theorem as an interpolation method is presented. The relationship between piecewise linear approximation and the sampling theorem is highlighted by the use of triangular pulses instead of sampling functions. Furthermore, a comparison of the linear interpolation with a series on a nonorthogonal basis composed of equally spaced triangular pulses is provided. The interpolation uses the sample values of the function whereas the series coefficients are obtained by minimizing the quadratic error between the original function and the series.
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spelling The linear interpolation method: a sampling theorem approachSampling theoreminterpolationFourier seriesnonorthonormal basisA lecture note introducing the sampling theorem as an interpolation method is presented. The relationship between piecewise linear approximation and the sampling theorem is highlighted by the use of triangular pulses instead of sampling functions. Furthermore, a comparison of the linear interpolation with a series on a nonorthogonal basis composed of equally spaced triangular pulses is provided. The interpolation uses the sample values of the function whereas the series coefficients are obtained by minimizing the quadratic error between the original function and the series.Sociedade Brasileira de Automática2003-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400012Sba: Controle & Automação Sociedade Brasileira de Automatica v.14 n.4 2003reponame:Sba: Controle & Automação Sociedade Brasileira de Automaticainstname:Sociedade Brasileira de Automática (SBA)instacron:SBA10.1590/S0103-17592003000400012info:eu-repo/semantics/openAccessPeres,Pedro L. D.Bonatti,Ivanil S.Borelli,Walter C.eng2004-04-15T00:00:00Zoai:scielo:S0103-17592003000400012Revistahttps://www.sba.org.br/revista/PUBhttps://old.scielo.br/oai/scielo-oai.php||revista_sba@fee.unicamp.br1807-03450103-1759opendoar:2004-04-15T00:00Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)false
dc.title.none.fl_str_mv The linear interpolation method: a sampling theorem approach
title The linear interpolation method: a sampling theorem approach
spellingShingle The linear interpolation method: a sampling theorem approach
Peres,Pedro L. D.
Sampling theorem
interpolation
Fourier series
nonorthonormal basis
title_short The linear interpolation method: a sampling theorem approach
title_full The linear interpolation method: a sampling theorem approach
title_fullStr The linear interpolation method: a sampling theorem approach
title_full_unstemmed The linear interpolation method: a sampling theorem approach
title_sort The linear interpolation method: a sampling theorem approach
author Peres,Pedro L. D.
author_facet Peres,Pedro L. D.
Bonatti,Ivanil S.
Borelli,Walter C.
author_role author
author2 Bonatti,Ivanil S.
Borelli,Walter C.
author2_role author
author
dc.contributor.author.fl_str_mv Peres,Pedro L. D.
Bonatti,Ivanil S.
Borelli,Walter C.
dc.subject.por.fl_str_mv Sampling theorem
interpolation
Fourier series
nonorthonormal basis
topic Sampling theorem
interpolation
Fourier series
nonorthonormal basis
description A lecture note introducing the sampling theorem as an interpolation method is presented. The relationship between piecewise linear approximation and the sampling theorem is highlighted by the use of triangular pulses instead of sampling functions. Furthermore, a comparison of the linear interpolation with a series on a nonorthogonal basis composed of equally spaced triangular pulses is provided. The interpolation uses the sample values of the function whereas the series coefficients are obtained by minimizing the quadratic error between the original function and the series.
publishDate 2003
dc.date.none.fl_str_mv 2003-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400012
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-17592003000400012
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-17592003000400012
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Automática
publisher.none.fl_str_mv Sociedade Brasileira de Automática
dc.source.none.fl_str_mv Sba: Controle & Automação Sociedade Brasileira de Automatica v.14 n.4 2003
reponame:Sba: Controle & Automação Sociedade Brasileira de Automatica
instname:Sociedade Brasileira de Automática (SBA)
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instname_str Sociedade Brasileira de Automática (SBA)
instacron_str SBA
institution SBA
reponame_str Sba: Controle & Automação Sociedade Brasileira de Automatica
collection Sba: Controle & Automação Sociedade Brasileira de Automatica
repository.name.fl_str_mv Sba: Controle & Automação Sociedade Brasileira de Automatica - Sociedade Brasileira de Automática (SBA)
repository.mail.fl_str_mv ||revista_sba@fee.unicamp.br
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