A new least-squares approach to differintegration modeling

Detalhes bibliográficos
Autor(a) principal: Ortigueira, M.D.
Data de Publicação: 2006
Outros Autores: Serralheiro, António J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/2587
Resumo: Signal Processing, Vol. 86, nº 10
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spelling A new least-squares approach to differintegration modelingDiscrete-time fractional differintegratorPseudo-fractional ARMAGru¨ nwald–Letnikov derivativeTustin bilinear transformationSignal Processing, Vol. 86, nº 10In this paper a new least-squares (LS) approach is used to model the discrete-time fractional differintegrator. This approach is based on a mismatch error between the required response and the one obtained by the difference equation defining the auto-regressive, moving-average (ARMA) model. In minimizing the error power we obtain a set of suitable normal equations that allow us to obtain the ARMA parameters. This new LS is then applied to the same examples as in [R.S. Barbosa, J.A. Tenreiro Machado, I.M. Ferreira, Least-squares design of digital fractional-order operators, FDA’2004 First IFAC Workshop on Fractional Differentiation and Its Applications, Bordeaux, France, July 19–21, 2004, P. Ostalczyk, Fundamental properties of the fractional-order discrete-time integrator, Signal Processing 83 (2003) 2367–2376] so performance comparisons can be drawn. Simulation results show that both magnitude frequency responses are essentially identical. Concerning the modeling stability, both algorithms present similar limitations, although for different ARMA model orders.Elsevier B.V.RUNOrtigueira, M.D.Serralheiro, António J.2010-02-03T10:33:34Z2006-102006-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/2587eng0165-1684info: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:RCAAP2024-03-11T03:32:49Zoai:run.unl.pt:10362/2587Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:15:13.106533Repositório 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 new least-squares approach to differintegration modeling
title A new least-squares approach to differintegration modeling
spellingShingle A new least-squares approach to differintegration modeling
Ortigueira, M.D.
Discrete-time fractional differintegrator
Pseudo-fractional ARMA
Gru¨ nwald–Letnikov derivative
Tustin bilinear transformation
title_short A new least-squares approach to differintegration modeling
title_full A new least-squares approach to differintegration modeling
title_fullStr A new least-squares approach to differintegration modeling
title_full_unstemmed A new least-squares approach to differintegration modeling
title_sort A new least-squares approach to differintegration modeling
author Ortigueira, M.D.
author_facet Ortigueira, M.D.
Serralheiro, António J.
author_role author
author2 Serralheiro, António J.
author2_role author
dc.contributor.none.fl_str_mv RUN
dc.contributor.author.fl_str_mv Ortigueira, M.D.
Serralheiro, António J.
dc.subject.por.fl_str_mv Discrete-time fractional differintegrator
Pseudo-fractional ARMA
Gru¨ nwald–Letnikov derivative
Tustin bilinear transformation
topic Discrete-time fractional differintegrator
Pseudo-fractional ARMA
Gru¨ nwald–Letnikov derivative
Tustin bilinear transformation
description Signal Processing, Vol. 86, nº 10
publishDate 2006
dc.date.none.fl_str_mv 2006-10
2006-10-01T00:00:00Z
2010-02-03T10:33:34Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/2587
url http://hdl.handle.net/10362/2587
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0165-1684
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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