Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources

In this paper, we give upper bounds for the rate-distortion function (RDF) of any Gaussian vector, and we propose coding strategies to achieve such bounds. We use these strategies to reduce the computational complexity of coding Gaussian asymptotically wide sense stationary (AWSS) autoregressive (AR...

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Detalles Bibliográficos
Autores principales: Gutiérrez-Gutiérrez, Jesús, Zárraga-Rodríguez, Marta, Villar-Rosety, Fernando M., Insausti, Xabier
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512917/
https://www.ncbi.nlm.nih.gov/pubmed/33265489
http://dx.doi.org/10.3390/e20060399
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author Gutiérrez-Gutiérrez, Jesús
Zárraga-Rodríguez, Marta
Villar-Rosety, Fernando M.
Insausti, Xabier
author_facet Gutiérrez-Gutiérrez, Jesús
Zárraga-Rodríguez, Marta
Villar-Rosety, Fernando M.
Insausti, Xabier
author_sort Gutiérrez-Gutiérrez, Jesús
collection PubMed
description In this paper, we give upper bounds for the rate-distortion function (RDF) of any Gaussian vector, and we propose coding strategies to achieve such bounds. We use these strategies to reduce the computational complexity of coding Gaussian asymptotically wide sense stationary (AWSS) autoregressive (AR) sources. Furthermore, we also give sufficient conditions for AR processes to be AWSS.
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spelling pubmed-75129172020-11-09 Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources Gutiérrez-Gutiérrez, Jesús Zárraga-Rodríguez, Marta Villar-Rosety, Fernando M. Insausti, Xabier Entropy (Basel) Article In this paper, we give upper bounds for the rate-distortion function (RDF) of any Gaussian vector, and we propose coding strategies to achieve such bounds. We use these strategies to reduce the computational complexity of coding Gaussian asymptotically wide sense stationary (AWSS) autoregressive (AR) sources. Furthermore, we also give sufficient conditions for AR processes to be AWSS. MDPI 2018-05-23 /pmc/articles/PMC7512917/ /pubmed/33265489 http://dx.doi.org/10.3390/e20060399 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Gutiérrez-Gutiérrez, Jesús
Zárraga-Rodríguez, Marta
Villar-Rosety, Fernando M.
Insausti, Xabier
Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title_full Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title_fullStr Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title_full_unstemmed Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title_short Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
title_sort rate-distortion function upper bounds for gaussian vectors and their applications in coding ar sources
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512917/
https://www.ncbi.nlm.nih.gov/pubmed/33265489
http://dx.doi.org/10.3390/e20060399
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