Rate Region of the Vector Gaussian One-Helper Source-Coding Problem

TL;DR

This paper characterizes the rate region for the vector Gaussian one-helper source-coding problem under a covariance matrix distortion constraint, using a separation-based scheme and advanced analysis techniques.

Contribution

It provides a complete characterization of the rate region for this problem, extending previous partial results with new analysis methods.

Findings

Rate region explicitly characterized

Separation scheme achieves the rate region

Extended analysis techniques for converse proof

Abstract

We determine the rate region of the vector Gaussian one-helper source-coding problem under a covariance matrix distortion constraint. The rate region is achieved by a simple scheme that separates the lossy vector quantization from the lossless spatial compression. The converse is established by extending and combining three analysis techniques that have been employed in the past to obtain partial results for the problem.