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
Descripción
Sumario: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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