Computing the Rate-Distortion Function of Gray-Wyner System
Information Theory
2023-03-29 v4 math.IT
Abstract
In this paper, the rate-distortion theory of the Gray-Wyner lossy source coding system is investigated. For the case of jointly Gaussian distributed sources, we establish an expression for the rate-distortion function under the constraint of quadratic distortion. Using the proposed rate-distortion function, any corner point on the rate-distortion region can be conveniently calculated. We take Wyner's common information as an example and provide a general and simple method to solve this problem. Through the analysis of the rate-distortion function, the rate on each layer and covariance matrix of auxiliary random variables and the sources are also presented in this paper.
Keywords
Cite
@article{arxiv.2009.09683,
title = {Computing the Rate-Distortion Function of Gray-Wyner System},
author = {Guojun Chen and Yinfei Xu and Ling Liu and Tiecheng Song and Jing Hu},
journal= {arXiv preprint arXiv:2009.09683},
year = {2023}
}