Vector Gaussian Multiterminal Source Coding

We derive an outer bound of the rate region of the vector Gaussian L -terminal CEO problem by establishing a lower bound on each supporting hyperplane of the rate region. To this end, we prove a new extremal inequality by exploiting the connection between differential entropy and Fisher information...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 60; no. 9; pp. 5533 - 5552
Main Authors: Wang, Jia, Chen, Jun
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.09.2014
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Applied sciences
Coding, codes
Covariance matrices
Entropy
Estimating techniques
Exact sciences and technology
Information theory
Information, signal and communications theory
Limiting
Nickel
Normal distribution
Signal and communications theory
Source coding
Telecommunications and information theory
Upper bound
Vectors
extremal inequality
CEO problem
multiterminal source coding
Borsuk¿s theorem
MMSE
Fisher information
Lower bound
High resolution
Source coding
Entropy
Borsuk's theorem
Hyperplane
Mean square error
ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:We derive an outer bound of the rate region of the vector Gaussian L -terminal CEO problem by establishing a lower bound on each supporting hyperplane of the rate region. To this end, we prove a new extremal inequality by exploiting the connection between differential entropy and Fisher information as well as some fundamental estimation-theoretic inequalities. It is shown that the outer bound matches the Berger-Tung inner bound in the high-resolution regime. We then derive a lower bound on each supporting hyperplane of the rate region of the direct vector Gaussian L -terminal source coding problem by coupling it with the CEO problem through a limiting argument. The tightness of this lower bound in the high-resolution regime and the weak-dependence regime is also proved.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2014.2333473