State realizations of 2-periodic convolutional codes: a switching system approach

Bibliographic Details
Main Author: Fornasini, Ettore
Publication Date: 2021
Other Authors: Napp, Diego, Pereira, Ricardo, Pinto, Raquel, Rocha, Paula
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/31657
Summary: 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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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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T04:32:36Zoai:ria.ua.pt:10773/31657Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:11:53.713940Repositórios 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 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: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
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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