An Outer Bound for the Vector Gaussian CEO Problem

被引：24

作者：

Ekrem, Ersen ^{[1
]}

Ulukus, Sennur ^{[1
]}

机构：

[1] Univ Maryland, Dept Elect & Comp Engn, College Pk, MD 20742 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2014年 / 60卷 / 11期

基金：

美国国家科学基金会;

关键词：

CEO problem; Gaussian multi-terminal source coding; entropy power inequality; Fisher information; CAPACITY REGION; INFORMATION;

D O I：

10.1109/TIT.2014.2358692

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We study the vector Gaussian CEO problem, where there are arbitrary number of agents, each having a noisy observation of a vector Gaussian source. The goal of the agents is to describe the source to a central unit, which wants to reconstruct the source within a given distortion. The rate-distortion region of the vector Gaussian CEO problem is unknown in general. Here, we provide an outer bound for the rate-distortion region of the vector Gaussian CEO problem. We obtain our outer bound by evaluating an outer bound for the multiterminal source coding problem by means of a technique relying on the de Bruijn identity and properties of the Fisher information. Next, we investigate the tightness of our outer bound. Although our outer bound is tight for certain cases, we show that our outer bound does not provide the exact rate-distortion region in general. To this end, we provide an example and show that the rate-distortion region is strictly contained in our outer bound for this example.

引用

页码：6870 / 6887

页数：18

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