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  • https://doi.org/10.1109/tit.2011.2143990Copy DOI Icon

Slepian–Wolf Coding Over Cooperative Relay Networks

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Abstract

This paper deals with the problem of multicasting a set of discrete\nmemoryless correlated sources (DMCS) over a cooperative relay network.\nNecessary conditions with cut-set interpretation are presented. A \\emph{Joint\nsource-Wyner-Ziv encoding/sliding window decoding} scheme is proposed, in which\ndecoding at each receiver is done with respect to an ordered partition of other\nnodes. For each ordered partition a set of feasibility constraints is derived.\nThen, utilizing the sub-modular property of the entropy function and a novel\ngeometrical approach, the results of different ordered partitions are\nconsolidated, which lead to sufficient conditions for our problem. The proposed\nscheme achieves operational separation between source coding and channel\ncoding. It is shown that sufficient conditions are indeed necessary conditions\nin two special cooperative networks, namely, Aref network and finite-field\ndeterministic network. Also, in Gaussian cooperative networks, it is shown that\nreliable transmission of all DMCS whose Slepian-Wolf region intersects the\ncut-set bound region within a constant number of bits, is feasible. In\nparticular, all results of the paper are specialized to obtain an achievable\nrate region for cooperative relay networks which includes relay networks and\ntwo-way relay networks.\n

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