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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Vydáno v:	IEEE transactions on information theory Ročník 60; číslo 9; s. 5533 - 5552
Hlavní autoři:	Wang, Jia, Chen, Jun
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.09.2014 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	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
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Popis
Shrnutí:	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.
Bibliografie:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2014.2333473