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Published April 2015 | Submitted
Journal Article Open

Separation of Source-Network Coding and Channel Coding in Wireline Networks

Abstract

In this paper, we prove the separation of source-network coding and channel coding in wireline networks. For the purposes of this paper, a wireline network is any network of independent, memoryless, point-to-point, and finite-alphabet channels used to transmit dependent sources either losslessly or subject to a distortion constraint. In deriving this result, we also prove that in a general memoryless network with dependent sources, lossless, and zero-distortion reconstruction are equivalent provided that the conditional entropy of each source given the other sources is nonzero. Furthermore, we extend the separation result to the case of continuous-alphabet and point-to-point channels, such as additive white Gaussian noise channels.

Additional Information

© 2015 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. Manuscript received October 11, 2011; revised November 24, 2012; accepted September 3, 2013. Date of publication February 2, 2015; date of current version March 13, 2015. This work was supported in part by Caltech Center for the Mathematics of Information, in part by DARPA ITMANET under Grant W911NF-07-1-0029, and in part by NSF under Grant CCF-1018741. This paper was presented at the IEEE International Symposium on Information Theory in 2010 and the Information Theory and Applications Workshop in 2011. The authors would like to thank the two anonymous reviewers for providing helpful comments and suggestions, especially for pointing the authors to Lusin's theorem.

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August 20, 2023
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