Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , |
Tipo de documento: | Livro |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/10216/110092 |
Resumo: | In this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d(1), d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2)(d2)G(1)(d(1)). In case that G(1)(d(1)) and G(2)(d(2)) are prime we provide constructions of syndrome formers of the code, directly from G(1)(d(1)) and G(2)(d(2)). Moreover we investigate the minimality of 2D state-space realization by means of a separable Roesser model of syndrome formers of composition codes, where G(2)(d(2)) is a quasi-systematic encoder. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Minimal Realizations of Syndrome Formers of a Special Class of 2D CodesIn this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d(1), d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2)(d2)G(1)(d(1)). In case that G(1)(d(1)) and G(2)(d(2)) are prime we provide constructions of syndrome formers of the code, directly from G(1)(d(1)) and G(2)(d(2)). Moreover we investigate the minimality of 2D state-space realization by means of a separable Roesser model of syndrome formers of composition codes, where G(2)(d(2)) is a quasi-systematic encoder.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bookapplication/pdfhttps://hdl.handle.net/10216/110092eng10.1007/978-3-319-17296-5_19Fornasini, EPinho, TPinto, RRocha, Pinfo: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:RCAAP2023-11-29T13:26:38Zoai:repositorio-aberto.up.pt:10216/110092Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T23:40:35.736266Repositório 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 |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
title |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
spellingShingle |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes Fornasini, E |
title_short |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
title_full |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
title_fullStr |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
title_full_unstemmed |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
title_sort |
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes |
author |
Fornasini, E |
author_facet |
Fornasini, E Pinho, T Pinto, R Rocha, P |
author_role |
author |
author2 |
Pinho, T Pinto, R Rocha, P |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Fornasini, E Pinho, T Pinto, R Rocha, P |
description |
In this paper we consider a special class of 2D convolutional codes (composition codes) with encoders G(d(1), d(2)) that can be decomposed as the product of two 1D encoders, i.e., G(d(1), d(2)) = G(2)(d2)G(1)(d(1)). In case that G(1)(d(1)) and G(2)(d(2)) are prime we provide constructions of syndrome formers of the code, directly from G(1)(d(1)) and G(2)(d(2)). Moreover we investigate the minimality of 2D state-space realization by means of a separable Roesser model of syndrome formers of composition codes, where G(2)(d(2)) is a quasi-systematic encoder. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 2015-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/book |
format |
book |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/10216/110092 |
url |
https://hdl.handle.net/10216/110092 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1007/978-3-319-17296-5_19 |
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.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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
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1799135720230617089 |