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Computer Science > Information Theory

arXiv:1401.6258 (cs)
[Submitted on 24 Jan 2014 (v1), last revised 20 Feb 2014 (this version, v5)]

Title:Rate Region of the Vector Gaussian CEO Problem with the Trace Distortion Constraint

Authors:Yinfei Xu, Qiao Wang
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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.
Comments: 12 pages, 1 figures, a shorter version is submitted for publication in IEEE International Symposium on Information Theory (ISIT), 2014
Subjects: Information Theory (cs.IT)
Cite as: arXiv:1401.6258 [cs.IT]
  (or arXiv:1401.6258v5 [cs.IT] for this version)
  https://doi.org/10.48550/arXiv.1401.6258

Submission history

From: Yinfei Xu Mr. [view email]
[v1] Fri, 24 Jan 2014 04:44:38 UTC (814 KB)
[v2] Wed, 29 Jan 2014 09:55:57 UTC (815 KB)
[v3] Mon, 10 Feb 2014 02:28:10 UTC (47 KB)
[v4] Wed, 19 Feb 2014 08:23:45 UTC (48 KB)
[v5] Thu, 20 Feb 2014 11:37:52 UTC (48 KB)
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