Decoding of MDP convolutional codes over the erasure channel under linear systems point of view

This paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear system theory can be applied, in particular th...

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Detalles Bibliográficos
Autores: García Planas, María Isabel|||0000-0001-7418-7208, Um, Laurence
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/417084
Acceso en línea:https://hdl.handle.net/2117/417084
https://dx.doi.org/10.3390/math12142159
Access Level:acceso abierto
Palabra clave:Convolutional codes
Maximum distance separable codes
Decoding
Erasure channel.
Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
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repository_id_str
spelling Decoding of MDP convolutional codes over the erasure channel under linear systems point of viewGarcía Planas, María Isabel|||0000-0001-7418-7208Um, LaurenceConvolutional codesMaximum distance separable codesDecodingErasure channel.Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codesClassificació AMS::93 Systems TheoryControl::93C Control systems, guided systemsÀrees temàtiques de la UPC::Matemàtiques i estadísticaThis paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear system theory can be applied, in particular those of output observability, easily described using matrix language. Those are viewed against the decoding capabilities of MDS block codes over the same channel. Not only is the time complexity better but the decoding capabilities are also increased with this approach because convolutional codes are more flexible in handling variable-length data streams than block codes, where they are fixed-length and less adaptable to varying data lengths without padding or other adjustments.Peer ReviewedMultidisciplinary Digital Publishing Institute (MDPI)20242024-07-0120242024-11-06journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/417084https://dx.doi.org/10.3390/math12142159reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4170842026-05-27T15:37:01Z
dc.title.none.fl_str_mv Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
title Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
spellingShingle Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
García Planas, María Isabel|||0000-0001-7418-7208
Convolutional codes
Maximum distance separable codes
Decoding
Erasure channel.
Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
title_full Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
title_fullStr Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
title_full_unstemmed Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
title_sort Decoding of MDP convolutional codes over the erasure channel under linear systems point of view
dc.creator.none.fl_str_mv García Planas, María Isabel|||0000-0001-7418-7208
Um, Laurence
author García Planas, María Isabel|||0000-0001-7418-7208
author_facet García Planas, María Isabel|||0000-0001-7418-7208
Um, Laurence
author_role author
author2 Um, Laurence
author2_role author
dc.subject.none.fl_str_mv Convolutional codes
Maximum distance separable codes
Decoding
Erasure channel.
Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Convolutional codes
Maximum distance separable codes
Decoding
Erasure channel.
Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes
Classificació AMS::93 Systems Theory
Control::93C Control systems, guided systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
description This paper attempts to highlight the decoding capabilities of MDP convolutional codes over the erasure channel by defining them as discrete linear dynamical systems, with which the controllability property and the observability characteristics of linear system theory can be applied, in particular those of output observability, easily described using matrix language. Those are viewed against the decoding capabilities of MDS block codes over the same channel. Not only is the time complexity better but the decoding capabilities are also increased with this approach because convolutional codes are more flexible in handling variable-length data streams than block codes, where they are fixed-length and less adaptable to varying data lengths without padding or other adjustments.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-07-01
2024
2024-11-06
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/417084
https://dx.doi.org/10.3390/math12142159
url https://hdl.handle.net/2117/417084
https://dx.doi.org/10.3390/math12142159
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute (MDPI)
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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