Rate Region of the Vector Gaussian One-Helper Source-Coding Problem

Computer Science – Information Theory

Scientific paper

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36 pages; 2 figures; submitted to IEEE Transactions on Information Theory; material in this paper was presented in part at the

Scientific paper

We determine the rate region of the vector Gaussian one-helper source-coding problem under a covariance matrix distortion constraint. The rate region is achieved by a simple scheme that separates the lossy vector quantization from the lossless spatial compression. The converse is established by extending and combining three analysis techniques that have been employed in the past to obtain partial results for the problem.

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