The Three-Terminal Interactive Lossy Source Coding Problem
Abstract
The three-node multiterminal lossy source coding problem is investigated. We derive an inner bound to the general rate-distortion region of this problem which is a natural extension of the seminal work by Kaspi'85 on the interactive two-terminal source coding problem. It is shown that this (rather involved) inner bound contains several rate-distortion regions of some relevant source coding settings. In this way, besides the non-trivial extension of the interactive two terminal problem, our results can be seen as a generalization and hence unification of several previous works in the field. Specializing to particular cases we obtain novel rate-distortion regions for several lossy source coding problems. We finish by describing some of the open problems and challenges. However, the general three-node multiterminal lossy source coding problem seems to offer a formidable mathematical complexity.
Cite
@article{arxiv.1502.01359,
title = {The Three-Terminal Interactive Lossy Source Coding Problem},
author = {Leonardo Rey Vega and Pablo Piantanida and Alfred Hero},
journal= {arXiv preprint arXiv:1502.01359},
year = {2016}
}
Comments
New version with changes suggested by reviewers.Revised and resubmitted to IEEE Transactions on Information Theory. 92 pages, 11 figures, 1 table