A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources

In this paper, we present a low-complexity coding strategy to encode (compress) finite-length data blocks of Gaussian vector sources. We show that for large enough data blocks of a Gaussian asymptotically wide sense stationary (AWSS) vector source, the rate of the coding strategy tends to the lowest...

Descripción completa

Detalles Bibliográficos
Autores: Zárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23, Gutiérrez-Gutiérrez, J. (Jesús)|||/items/c66a6378-3f3e-46d7-a0f2-019fd93a086f, Insausti-Sarasola, X. (Xabier)|||/items/c73c592e-62ec-4953-8589-5da99ac84ad7
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad de Navarra
Repositorio:Dadun. Depósito Académico Digital de la Universidad de Navarra
Idioma:inglés
OAI Identifier:oai:dadun.unav.edu:10171/61894
Acceso en línea:https://hdl.handle.net/10171/61894
Access Level:acceso abierto
Palabra clave:Materias Investigacion::Ingeniería::Generalidades
Source coding
Rate distortion function (RDF)
Gaussian vector
Asymptotically wide sense stationary (AWSS) vector source
Block discrete Fourier transform (DFT)
id ES_e299c5f2d79a0b33d2a581e62efdfd46
oai_identifier_str oai:dadun.unav.edu:10171/61894
network_acronym_str ES
network_name_str España
repository_id_str
spelling A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector SourcesZárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23Gutiérrez-Gutiérrez, J. (Jesús)|||/items/c66a6378-3f3e-46d7-a0f2-019fd93a086fInsausti-Sarasola, X. (Xabier)|||/items/c73c592e-62ec-4953-8589-5da99ac84ad7Materias Investigacion::Ingeniería::GeneralidadesSource codingRate distortion function (RDF)Gaussian vectorAsymptotically wide sense stationary (AWSS) vector sourceBlock discrete Fourier transform (DFT)In this paper, we present a low-complexity coding strategy to encode (compress) finite-length data blocks of Gaussian vector sources. We show that for large enough data blocks of a Gaussian asymptotically wide sense stationary (AWSS) vector source, the rate of the coding strategy tends to the lowest possible rate. Besides being a low-complexity strategy it does not require the knowledge of the correlation matrix of such data blocks. We also show that this coding strategy is appropriate to encode the most relevant Gaussian vector sources, namely, wide sense stationary (WSS), moving average (MA), autoregressive (AR), and ARMA vector sources.MDPI AGDadun. Depósito Académico Digital Universidad de Navarra20212021-08-3020192019-01-0120192019-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10171/61894reponame:Dadun. Depósito Académico Digital de la Universidad de Navarrainstname:Universidad de NavarraInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:dadun.unav.edu:10171/618942026-06-21T12:47:57Z
dc.title.none.fl_str_mv A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
title A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
spellingShingle A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
Zárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23
Materias Investigacion::Ingeniería::Generalidades
Source coding
Rate distortion function (RDF)
Gaussian vector
Asymptotically wide sense stationary (AWSS) vector source
Block discrete Fourier transform (DFT)
title_short A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
title_full A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
title_fullStr A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
title_full_unstemmed A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
title_sort A Low-Complexity and Asymptotically Optimal Coding Strategy for Gaussian Vector Sources
dc.creator.none.fl_str_mv Zárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23
Gutiérrez-Gutiérrez, J. (Jesús)|||/items/c66a6378-3f3e-46d7-a0f2-019fd93a086f
Insausti-Sarasola, X. (Xabier)|||/items/c73c592e-62ec-4953-8589-5da99ac84ad7
author Zárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23
author_facet Zárraga-Rodríguez, M. (Marta de)|||/items/d20f8020-3353-4b8b-865d-6007163d7c23
Gutiérrez-Gutiérrez, J. (Jesús)|||/items/c66a6378-3f3e-46d7-a0f2-019fd93a086f
Insausti-Sarasola, X. (Xabier)|||/items/c73c592e-62ec-4953-8589-5da99ac84ad7
author_role author
author2 Gutiérrez-Gutiérrez, J. (Jesús)|||/items/c66a6378-3f3e-46d7-a0f2-019fd93a086f
Insausti-Sarasola, X. (Xabier)|||/items/c73c592e-62ec-4953-8589-5da99ac84ad7
author2_role author
author
dc.contributor.none.fl_str_mv Dadun. Depósito Académico Digital Universidad de Navarra
dc.subject.none.fl_str_mv Materias Investigacion::Ingeniería::Generalidades
Source coding
Rate distortion function (RDF)
Gaussian vector
Asymptotically wide sense stationary (AWSS) vector source
Block discrete Fourier transform (DFT)
topic Materias Investigacion::Ingeniería::Generalidades
Source coding
Rate distortion function (RDF)
Gaussian vector
Asymptotically wide sense stationary (AWSS) vector source
Block discrete Fourier transform (DFT)
description In this paper, we present a low-complexity coding strategy to encode (compress) finite-length data blocks of Gaussian vector sources. We show that for large enough data blocks of a Gaussian asymptotically wide sense stationary (AWSS) vector source, the rate of the coding strategy tends to the lowest possible rate. Besides being a low-complexity strategy it does not require the knowledge of the correlation matrix of such data blocks. We also show that this coding strategy is appropriate to encode the most relevant Gaussian vector sources, namely, wide sense stationary (WSS), moving average (MA), autoregressive (AR), and ARMA vector sources.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-01-01
2019
2019-01-01
2021
2021-08-30
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10171/61894
url https://hdl.handle.net/10171/61894
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
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI AG
publisher.none.fl_str_mv MDPI AG
dc.source.none.fl_str_mv reponame:Dadun. Depósito Académico Digital de la Universidad de Navarra
instname:Universidad de Navarra
instname_str Universidad de Navarra
reponame_str Dadun. Depósito Académico Digital de la Universidad de Navarra
collection Dadun. Depósito Académico Digital de la Universidad de Navarra
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869422425287950336
score 15,300724

Similares en LA Referencia