State realizations of 2-periodic convolutional codes: a switching system approach
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/31657 |
Resumo: | In this work we investigate the realization problem of periodic convolutional codes. As convolutional codes are discrete linear systems over a finite field we use systems theory techniques to address our problem. In particular, we aim at deriving and studying state-space realizations of 2-periodic convolutional codes. Although one cannot expect, in general, to obtain a periodic state-space realization of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes, we show that one can implement the periodic system switching periodically the output in each state system. Comments on the minimality of this realization are given. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
State realizations of 2-periodic convolutional codes: a switching system approachPeriodic systemsConvolutional codesRealizationsIn this work we investigate the realization problem of periodic convolutional codes. As convolutional codes are discrete linear systems over a finite field we use systems theory techniques to address our problem. In particular, we aim at deriving and studying state-space realizations of 2-periodic convolutional codes. Although one cannot expect, in general, to obtain a periodic state-space realization of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes, we show that one can implement the periodic system switching periodically the output in each state system. Comments on the minimality of this realization are given.Elsevier; IFAC2021-07-27T10:08:57Z2021-01-01T00:00:00Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/31657eng2405-896310.1016/j.ifacol.2021.06.180Fornasini, EttoreNapp, DiegoPereira, RicardoPinto, RaquelRocha, Paulainfo: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:RCAAP2024-02-22T12:01:10Zoai:ria.ua.pt:10773/31657Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:03:30.901490Repositório 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 |
State realizations of 2-periodic convolutional codes: a switching system approach |
title |
State realizations of 2-periodic convolutional codes: a switching system approach |
spellingShingle |
State realizations of 2-periodic convolutional codes: a switching system approach Fornasini, Ettore Periodic systems Convolutional codes Realizations |
title_short |
State realizations of 2-periodic convolutional codes: a switching system approach |
title_full |
State realizations of 2-periodic convolutional codes: a switching system approach |
title_fullStr |
State realizations of 2-periodic convolutional codes: a switching system approach |
title_full_unstemmed |
State realizations of 2-periodic convolutional codes: a switching system approach |
title_sort |
State realizations of 2-periodic convolutional codes: a switching system approach |
author |
Fornasini, Ettore |
author_facet |
Fornasini, Ettore Napp, Diego Pereira, Ricardo Pinto, Raquel Rocha, Paula |
author_role |
author |
author2 |
Napp, Diego Pereira, Ricardo Pinto, Raquel Rocha, Paula |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Fornasini, Ettore Napp, Diego Pereira, Ricardo Pinto, Raquel Rocha, Paula |
dc.subject.por.fl_str_mv |
Periodic systems Convolutional codes Realizations |
topic |
Periodic systems Convolutional codes Realizations |
description |
In this work we investigate the realization problem of periodic convolutional codes. As convolutional codes are discrete linear systems over a finite field we use systems theory techniques to address our problem. In particular, we aim at deriving and studying state-space realizations of 2-periodic convolutional codes. Although one cannot expect, in general, to obtain a periodic state-space realization of a periodic convolutional code by means of the individual realizations of each of the associated time-invariant codes, we show that one can implement the periodic system switching periodically the output in each state system. Comments on the minimality of this realization are given. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-07-27T10:08:57Z 2021-01-01T00:00:00Z 2021 |
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/10773/31657 |
url |
http://hdl.handle.net/10773/31657 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2405-8963 10.1016/j.ifacol.2021.06.180 |
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 |
Elsevier; IFAC |
publisher.none.fl_str_mv |
Elsevier; IFAC |
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 instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799137690173571072 |