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arXiv · 2009.09683

Computing the Rate-Distortion Function of Gray-Wyner System

Guojun Chen·Yinfei Xu·Ling Liu·Tiecheng Song·Jing Hu
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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.

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Guojun Chen, Yinfei Xu, Ling Liu, Tiecheng Song, Jing Hu. 2020-09-21. Computing the Rate-Distortion Function of Gray-Wyner System. https://arxiv.org/abs/2009.09683

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