A new least-squares approach to differintegration modeling
Autor(a) principal: | |
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Data de Publicação: | 2006 |
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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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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 |
format |
article |
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 |
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eng |
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0165-1684 |
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info:eu-repo/semantics/openAccess |
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openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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