State representations of convolutional codes over a finite ring

Detalhes bibliográficos
Autor(a) principal: Napp, Diego
Data de Publicação: 2022
Outros Autores: Pinto, Raquel, Rocha, Conceição
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/33000
Resumo: In this paper we study finite support convolutional codes over Z_{p^r} by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of a Z_{p^r}-submodule of Z_{p^r}^n and therefore is a (finite support) convolutional code. Fundamental system-theoretical properties such as observability, reachability or minimality, are investigated in this context.
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spelling State representations of convolutional codes over a finite ringFinite ringsRealization theoryConvolutionalIn this paper we study finite support convolutional codes over Z_{p^r} by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of a Z_{p^r}-submodule of Z_{p^r}^n and therefore is a (finite support) convolutional code. Fundamental system-theoretical properties such as observability, reachability or minimality, are investigated in this context.Elsevier2022-01-24T16:30:14Z2024-05-01T00:00:00Z2022-05-01T00:00:00Z2022-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10773/33000eng0024-379510.1016/j.laa.2021.12.006Napp, DiegoPinto, RaquelRocha, Conceiçãoinfo:eu-repo/semantics/embargoedAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T12:03:31Zoai:ria.ua.pt:10773/33000Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:32.114598Repositório 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 representations of convolutional codes over a finite ring
title State representations of convolutional codes over a finite ring
spellingShingle State representations of convolutional codes over a finite ring
Napp, Diego
Finite rings
Realization theory
Convolutional
title_short State representations of convolutional codes over a finite ring
title_full State representations of convolutional codes over a finite ring
title_fullStr State representations of convolutional codes over a finite ring
title_full_unstemmed State representations of convolutional codes over a finite ring
title_sort State representations of convolutional codes over a finite ring
author Napp, Diego
author_facet Napp, Diego
Pinto, Raquel
Rocha, Conceição
author_role author
author2 Pinto, Raquel
Rocha, Conceição
author2_role author
author
dc.contributor.author.fl_str_mv Napp, Diego
Pinto, Raquel
Rocha, Conceição
dc.subject.por.fl_str_mv Finite rings
Realization theory
Convolutional
topic Finite rings
Realization theory
Convolutional
description In this paper we study finite support convolutional codes over Z_{p^r} by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of a Z_{p^r}-submodule of Z_{p^r}^n and therefore is a (finite support) convolutional code. Fundamental system-theoretical properties such as observability, reachability or minimality, are investigated in this context.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-24T16:30:14Z
2022-05-01T00:00:00Z
2022-05-01
2024-05-01T00:00:00Z
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/10773/33000
url http://hdl.handle.net/10773/33000
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2021.12.006
dc.rights.driver.fl_str_mv info:eu-repo/semantics/embargoedAccess
eu_rights_str_mv embargoedAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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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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