Minimal state-space representation of convolutional product codes

Detalhes bibliográficos
Autor(a) principal: Climent, Joan-Josep
Data de Publicação: 2021
Outros Autores: Napp, Diego, Pinto, Raquel, Requena, Verónica
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10773/31599
Resumo: In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present a systematic procedure to build such representation with minimal dimension, i.e., reachable and observable.
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spelling Minimal state-space representation of convolutional product codesConvolutional codeGenerator matrixState-space representationMinimal representationProduct codeIn this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present a systematic procedure to build such representation with minimal dimension, i.e., reachable and observable.MDPI2021-07-16T16:56:34Z2021-06-02T00:00:00Z2021-06-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/31599eng2227-739010.3390/math9121410Climent, Joan-JosepNapp, DiegoPinto, RaquelRequena, Verónicainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:32:25Zoai:ria.ua.pt:10773/31599Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:11:48.141291Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Minimal state-space representation of convolutional product codes
title Minimal state-space representation of convolutional product codes
spellingShingle Minimal state-space representation of convolutional product codes
Climent, Joan-Josep
Convolutional code
Generator matrix
State-space representation
Minimal representation
Product code
title_short Minimal state-space representation of convolutional product codes
title_full Minimal state-space representation of convolutional product codes
title_fullStr Minimal state-space representation of convolutional product codes
title_full_unstemmed Minimal state-space representation of convolutional product codes
title_sort Minimal state-space representation of convolutional product codes
author Climent, Joan-Josep
author_facet Climent, Joan-Josep
Napp, Diego
Pinto, Raquel
Requena, Verónica
author_role author
author2 Napp, Diego
Pinto, Raquel
Requena, Verónica
author2_role author
author
author
dc.contributor.author.fl_str_mv Climent, Joan-Josep
Napp, Diego
Pinto, Raquel
Requena, Verónica
dc.subject.por.fl_str_mv Convolutional code
Generator matrix
State-space representation
Minimal representation
Product code
topic Convolutional code
Generator matrix
State-space representation
Minimal representation
Product code
description In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present a systematic procedure to build such representation with minimal dimension, i.e., reachable and observable.
publishDate 2021
dc.date.none.fl_str_mv 2021-07-16T16:56:34Z
2021-06-02T00:00:00Z
2021-06-02
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/10773/31599
url http://hdl.handle.net/10773/31599
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2227-7390
10.3390/math9121410
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 MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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repository.mail.fl_str_mv info@rcaap.pt
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