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Separation set distance for 2D Convolutional Codes

Bibliographic Details
Main Author: Simões, Rita
Publication Date: 2018
Other Authors: Pinto, Raquel, Napp, Diego, Perea, Carmen, Iglesias, Jose
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/24653
Summary: In this paper we address the problem of extending the well-known notion of column distance of one-dimensional (1D) convolutional codes to the context of multidimensional (nD) convolutional codes. In particular, we treat the 2D case and propose a new and more general notion than the one previously introduced in this context. We derive upper bounds on the distances that lead to the novel notion of Maximum Separation Set Distance Profile 2D convolutional codes. This notion naturally extends the notion of Maximum Distance Profile 1D convolutional code. Characterizations in terms of the sliding paritycheck matrices are presented.
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spelling Separation set distance for 2D Convolutional Codes2D convolutional codeSeparation set distandeMaximum Separation Set Distance ProfileIn this paper we address the problem of extending the well-known notion of column distance of one-dimensional (1D) convolutional codes to the context of multidimensional (nD) convolutional codes. In particular, we treat the 2D case and propose a new and more general notion than the one previously introduced in this context. We derive upper bounds on the distances that lead to the novel notion of Maximum Separation Set Distance Profile 2D convolutional codes. This notion naturally extends the notion of Maximum Distance Profile 1D convolutional code. Characterizations in terms of the sliding paritycheck matrices are presented.2018-11-16T14:45:36Z2018-07-01T00:00:00Z2018-07conference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/24653engSimões, RitaPinto, RaquelNapp, DiegoPerea, CarmenIglesias, Joseinfo: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:RCAAP2024-05-06T04:17:37Zoai:ria.ua.pt:10773/24653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:03:40.614535Repositórios 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 Separation set distance for 2D Convolutional Codes
title Separation set distance for 2D Convolutional Codes
spellingShingle Separation set distance for 2D Convolutional Codes
Simões, Rita
2D convolutional code
Separation set distande
Maximum Separation Set Distance Profile
title_short Separation set distance for 2D Convolutional Codes
title_full Separation set distance for 2D Convolutional Codes
title_fullStr Separation set distance for 2D Convolutional Codes
title_full_unstemmed Separation set distance for 2D Convolutional Codes
title_sort Separation set distance for 2D Convolutional Codes
author Simões, Rita
author_facet Simões, Rita
Pinto, Raquel
Napp, Diego
Perea, Carmen
Iglesias, Jose
author_role author
author2 Pinto, Raquel
Napp, Diego
Perea, Carmen
Iglesias, Jose
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Simões, Rita
Pinto, Raquel
Napp, Diego
Perea, Carmen
Iglesias, Jose
dc.subject.por.fl_str_mv 2D convolutional code
Separation set distande
Maximum Separation Set Distance Profile
topic 2D convolutional code
Separation set distande
Maximum Separation Set Distance Profile
description In this paper we address the problem of extending the well-known notion of column distance of one-dimensional (1D) convolutional codes to the context of multidimensional (nD) convolutional codes. In particular, we treat the 2D case and propose a new and more general notion than the one previously introduced in this context. We derive upper bounds on the distances that lead to the novel notion of Maximum Separation Set Distance Profile 2D convolutional codes. This notion naturally extends the notion of Maximum Distance Profile 1D convolutional code. Characterizations in terms of the sliding paritycheck matrices are presented.
publishDate 2018
dc.date.none.fl_str_mv 2018-11-16T14:45:36Z
2018-07-01T00:00:00Z
2018-07
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/24653
url http://hdl.handle.net/10773/24653
dc.language.iso.fl_str_mv eng
language eng
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: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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