Code design for lossless multiterminal networks

Stankovic, V. and Liveris, A.D and Xiong, Z.X. and Georghiades, C.N. (2004) Code design for lossless multiterminal networks. In: IEEE International Symposium on Information Theory, 2004-06-27 - 2004-07-02.

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We consider a general multiterminal (NIT) system which consists of L encoders and P decoders [1]. Let X-1,...,X-L be memoryless, uniform, correlated random binary vectors of length n, and let X-1,...,X-L denote their realizations. Let further Sigma = {1,...,L}. The i-th encoder compresses Xi independently from other encoders. The j-th decoder receives the bitstreams from a set of encoders Sigma(j) subset of or equal to Sigma and jointly decodes them. It should reconstruct the received source messages with arbitrarily small probability of error. To construct a practical coding scheme for this network, we exploit the fact that such a network can be split into P subnetworks, each being regarded as a Slepian-Wolf (SW) coding system with multiple sources. This SW subnetwork consists of a decoder which receives encodings of all X-k'S such that k is an element of Sigma(SW) subset of or equal to Sigma and attempts to reconstruct them perfectly. Based on [2], we first provide a code design for this setting, and then extend it to the general case.