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arXiv · 1505.00026

Distributed Multilevel Diversity Coding

Zhiqing Xiao·Jun Chen·Yunzhou Li·Jing Wang
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Abstract

In distributed multilevel diversity coding, $K$ correlated sources (each with $K$ components) are encoded in a distributed manner such that, given the outputs from any $\alpha$ encoders, the decoder can reconstruct the first $\alpha$ components of each of the corresponding $\alpha$ sources. For this problem, the optimality of a multilayer Slepian-Wolf coding scheme based on binning and superposition is established when $K\leq 3$. The same conclusion is shown to hold for general $K$ under a certain symmetry condition, which generalizes a celebrated result by Yeung and Zhang.

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Zhiqing Xiao, Jun Chen, Yunzhou Li, Jing Wang. 2015-04-30. Distributed Multilevel Diversity Coding. https://arxiv.org/abs/1505.00026

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