Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint
arXiv:1401.6258
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.
arXiv comment12 pages, 1 figures, a shorter version is submitted for publication in IEEE International Symposium on Information Theory (ISIT), 2014