高斯向量的率失真函数上界及其在编码AR源中的应用

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

作者信息

Gutiérrez-Gutiérrez Jesús, Zárraga-Rodríguez Marta, Villar-Rosety Fernando M, Insausti Xabier

机构信息

Tecnun, University of Navarra, Paseo de Manuel Lardizábal 13, 20018 San Sebastián, Spain.

出版信息

Entropy (Basel). 2018 May 23;20(6):399. doi: 10.3390/e20060399.

DOI:10.3390/e20060399

PMID:33265489

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7512917/

Abstract

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.

摘要

在本文中，我们给出了任意高斯向量的率失真函数（RDF）的上界，并提出了实现这些界的编码策略。我们使用这些策略来降低对高斯渐近广义平稳（AWSS）自回归（AR）源进行编码的计算复杂度。此外，我们还给出了AR过程为AWSS的充分条件。