Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint
Information Theory
2014-02-21 v5 math.IT
Abstract
We establish a new extremal inequality, which is further leveraged to give a complete characterization of the rate region of the vector Gaussian CEO problem with the trace distortion constraint. The proof of this extremal inequality hinges on a careful analysis of the Karush-Kuhn-Tucker necessary conditions for the non-convex optimization problem associated with the Berger-Tung scheme, which enables us to integrate the perturbation argument by Wang and Chen with the distortion projection method by Rahman and Wagner.
Keywords
Cite
@article{arxiv.1401.6258,
title = {Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint},
author = {Yinfei Xu and Qiao Wang},
journal= {arXiv preprint arXiv:1401.6258},
year = {2014}
}
Comments
12 pages, 1 figures, a shorter version is submitted for publication in IEEE International Symposium on Information Theory (ISIT), 2014