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A strong converse for a collection of network source coding problems

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2 Author(s)
WeiHsin Gu ; Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA ; Effros, M.

We prove a strong converse for particular source coding problems: the Ahlswede-Korner (coded side information) problem, lossless source coding for multicast networks with side-information at the end nodes, and the Gray-Wyner problem. Source and side-information sequences are drawn i.i.d. according to a given distribution on a finite alphabet. The strong converse discussed here states that when a given rate vector R is not D-achievable, the probability of observing distortion D for any sequence of block codes at rate R must decrease exponentially to 0 as the block length grows without bound. This strong converse implies the prior strong converses for the point-to-point network, Slepian-Wolf problem, and Ahlswede-Korner (coded side information) problem.

Published in:

Information Theory, 2009. ISIT 2009. IEEE International Symposium on

Date of Conference:

June 28 2009-July 3 2009