An outer bound for distributed compression of linear functions

We consider the problem of distributed compression of a pair of Gaussian sources in which the goal is to reproduce a given linear combination of the pair, subject to an upper bound on the allowable mean-square error. The rate-distortion region for this problem is unknown except in certain cases, and...

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Bibliographic Details
Published in2008 42nd Annual Conference on Information Sciences and Systems pp. 435 - 440
Main Author Wagner, A.B.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.03.2008
Subjects
Covariance matrix
Decoding
Distortion measurement
Distributed computing
Peer to peer computing
Random variables
Rate-distortion
Relays
Upper bound
Video coding
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ISBN1424422469
9781424422463
DOI10.1109/CISS.2008.4558566

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Summary:We consider the problem of distributed compression of a pair of Gaussian sources in which the goal is to reproduce a given linear combination of the pair, subject to an upper bound on the allowable mean-square error. The rate-distortion region for this problem is unknown except in certain cases, and several achievable schemes have been proposed. We provide an outer bound to the rate-distortion region, which strictly improves upon the cut-set bound. For the special case of reproducing the difference of two positively correlated Gaussian random variables, the outer bound determines the rate region to within one bit at all distortion levels.
ISBN:1424422469
9781424422463
DOI:10.1109/CISS.2008.4558566