Distortion Bounds for Transmitting Correlated Sources with Common Part over MAC

TL;DR

This paper derives bounds on the distortion for transmitting correlated sources with a common part over a MAC, showing how the common part can improve performance in distributed source-channel coding.

Contribution

It introduces new inner and outer bounds on the distortion region for correlated sources with common parts over MAC, including special cases and Gaussian scenarios.

Findings

Common part improves distortion performance.

New bounds unify and extend existing results.

Gaussian case bounds demonstrate practical benefits.

Abstract

This paper investigates the joint source-channel coding problem of sending two correlated memoryless sources with common part over a memoryless multiple access channel (MAC). An inner bound and two outer bounds on the achievable distortion region are derived. In particular, they respectively recover the existing bounds for several special cases, such as communication without common part, lossless communication, and noiseless communication. When specialized to quadratic Gaussian communication case, transmitting Gaussian sources with Gaussian common part over Gaussian MAC, the inner bound and outer bound are used to generate two new bounds. Numerical result shows that common part improves the distortion of such distributed source-channel coding problem.