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On the Continuity of Achievable Rate Regions for Source Coding over Networks

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2 Author(s)
WeiHsin Gu ; California Inst. of Technol., Pasadena ; Effros, M.

The continuity property of achievable rate regions for source coding over networks is considered. We show rate- distortion regions are continuous with respect to distortion vectors. Then we focus on the continuity of lossless rate regions with respect to source distribution: First, the proof of continuity for general networks with independent sources is given; then, for the case of dependent sources, continuity is proven both in examples where one-letter characterizations are known and in examples where one-letter characterizations are not known; the proofs in the latter case rely on the concavity of the rate regions for those networks.

Published in:

Information Theory Workshop, 2007. ITW '07. IEEE

Date of Conference:

2-6 Sept. 2007