Binary Rate Distortion With Side Information: The Asymmetric Correlation Channel Case

TL;DR

This paper analyzes the rate distortion problem for binary sources with asymmetric side information channels, providing new insights into the rate loss between predictive and Wyner-Ziv coding in asymmetric correlation scenarios.

Contribution

It extends existing information theoretic results to asymmetric binary channels, analyzing rate loss in lossy source coding with side information.

Findings

Quantifies rate loss as a function of channel parameters.

Provides analytical results for asymmetric correlation channels.

Extends previous symmetric correlation models.

Abstract

Advancing over up-to-date information theoretic results that assume symmetric correlation models, in this work we consider the problem of lossy binary source coding with side information, where the correlation is expressed by a generic binary asymmetric channel. Specifically, we present an in-depth analysis of rate distortion with side information available to both the encoder and decoder (conventional predictive), as well as the Wyner-Ziv problem for this particular setup. Prompted by our recent results for the Z-channel correlation case, we evaluate the rate loss between the Wyner-Ziv and the conventional predictive coding, as a function of the parameters of the binary asymmetric correlation channel.