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

被引：6

作者：

Gutierrez-Gutierrez, Jesus ^{[1
]}

Zarraga-Rodriguez, Marta ^{[1
]}

Villar-Rosety, Fernando M. ^{[1
]}

Insausti, Xabier ^{[1
]}

机构：

[1] Univ Navarra, Tecnun, Paseo Manuel Lardizabal 13, San Sebastian 20018, Spain

来源：

ENTROPY | 2018年 / 20卷 / 06期

关键词：

source coding; rate-distortion function (RDF); Gaussian vector; autoregressive (AR) source; discrete Fourier transform (DFT);

D O I：

10.3390/e20060399

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：15

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