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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oai_identifier_str oai:upcommons.upc.edu:2117/417084
network_acronym_str ES
network_name_str España
spelling Decoding of MDP convolutional codes over the erasure channel under linear systems point of view García Planas, María Isabel|||0000-0001-7418-7208 Um, Laurence 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 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. Peer Reviewed Multidisciplinary Digital Publishing Institute (MDPI) https://hdl.handle.net/2117/417084 https://dx.doi.org/10.3390/math12142159
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
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
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
topic_facet 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
format article
url https://hdl.handle.net/2117/417084
https://dx.doi.org/10.3390/math12142159
language eng
eu_rights_str_mv openAccess
publisher Multidisciplinary Digital Publishing Institute (MDPI)
institution Universitat Politècnica de Catalunya (UPC)
collection UPCommons. Portal del coneixement obert de la UPC
reponame_str UPCommons. Portal del coneixement obert de la UPC
instname_str Universitat Politècnica de Catalunya (UPC)
_version_ 1878740263474561024
publishDateSort 2024
author_browse García Planas, María Isabel|||0000-0001-7418-7208
Um, Laurence
publisherStr Multidisciplinary Digital Publishing Institute (MDPI)
score 6,8972664

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