Series concatenation of 2D convolutional codes by means of input-state-output representations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/10773/25209 |
Resumo: | In this paper we investigate the properties of two-dimensional ($2$D) convolutional codes which are obtained from series concatenation of two $2$D convolutional codes. For this purpose we confine ourselves to dealing with finite-support $2$D convolutional codes and make use of the so-called Fornasini-Marchesini input-state-output (ISO) model representations. Within these ISO representations we study when the structural properties of modal reachability and modal observability of the two given ISO representations carry over to the resulting $2$D convolutional code. Moreover, we provide necessary conditions for obtaining a systematic concatenated convolutional code. Finally, we present a lower bound on its free distance. |
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7160 |
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Series concatenation of 2D convolutional codes by means of input-state-output representations2D convolution codesObservabilityReachabilitySeries concatenationIn this paper we investigate the properties of two-dimensional ($2$D) convolutional codes which are obtained from series concatenation of two $2$D convolutional codes. For this purpose we confine ourselves to dealing with finite-support $2$D convolutional codes and make use of the so-called Fornasini-Marchesini input-state-output (ISO) model representations. Within these ISO representations we study when the structural properties of modal reachability and modal observability of the two given ISO representations carry over to the resulting $2$D convolutional code. Moreover, we provide necessary conditions for obtaining a systematic concatenated convolutional code. Finally, we present a lower bound on its free distance.Taylors & Francis2019-01-02T00:00:00Z2018-12-02T00:00:00Z2018-12-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/25209eng0020-717910.1080/00207179.2017.1410573Climent, Jaon-JosepNapp, DiegoPinto, RaquelSimões, Ritainfo: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:RCAAP2024-02-22T11:49:02Zoai:ria.ua.pt:10773/25209Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:34.190589Repositório 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 |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
title |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
spellingShingle |
Series concatenation of 2D convolutional codes by means of input-state-output representations Climent, Jaon-Josep 2D convolution codes Observability Reachability Series concatenation |
title_short |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
title_full |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
title_fullStr |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
title_full_unstemmed |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
title_sort |
Series concatenation of 2D convolutional codes by means of input-state-output representations |
author |
Climent, Jaon-Josep |
author_facet |
Climent, Jaon-Josep Napp, Diego Pinto, Raquel Simões, Rita |
author_role |
author |
author2 |
Napp, Diego Pinto, Raquel Simões, Rita |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Climent, Jaon-Josep Napp, Diego Pinto, Raquel Simões, Rita |
dc.subject.por.fl_str_mv |
2D convolution codes Observability Reachability Series concatenation |
topic |
2D convolution codes Observability Reachability Series concatenation |
description |
In this paper we investigate the properties of two-dimensional ($2$D) convolutional codes which are obtained from series concatenation of two $2$D convolutional codes. For this purpose we confine ourselves to dealing with finite-support $2$D convolutional codes and make use of the so-called Fornasini-Marchesini input-state-output (ISO) model representations. Within these ISO representations we study when the structural properties of modal reachability and modal observability of the two given ISO representations carry over to the resulting $2$D convolutional code. Moreover, we provide necessary conditions for obtaining a systematic concatenated convolutional code. Finally, we present a lower bound on its free distance. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-02T00:00:00Z 2018-12-02 2019-01-02T00:00:00Z |
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/10773/25209 |
url |
http://hdl.handle.net/10773/25209 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0020-7179 10.1080/00207179.2017.1410573 |
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 |
Taylors & Francis |
publisher.none.fl_str_mv |
Taylors & Francis |
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_ |
1799137640173273088 |