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On the Duality Between Slepian–Wolf Coding and Channel Coding Under Mismatched Decoding

机译:失配解码下Slepian-Wolf编码和信道编码之间的对偶性

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摘要

In this paper, Slepian–Wolf coding with a mismatched decoding metric is studied. Two different dualities between Slepian–Wolf coding and channel coding under mismatched decoding are established. These two dualities provide a systematic framework for comparing linear Slepian–Wolf codes, nonlinear Slepian–Wolf codes, and variable-rate Slepian–Wolf codes. In contrast with the fact that linear codes suffice to achieve the Slepian–Wolf limit under matched decoding, the minimum rate achievable with nonlinear Slepian–Wolf codes under mismatched decoding can be strictly lower than that achievable with linear Slepian–Wolf codes.
机译:在本文中,研究了具有不匹配的解码度量的Slepian-Wolf编码。在失配解码下,Slepian-Wolf编码和信道编码之间建立了两种不同的对偶。这两个对偶为比较线性Slepian-Wolf码,非线性Slepian-Wolf码和可变速率Slepian-Wolf码提供了系统的框架。与线性代码足以在匹配解码下达到Slepian-Wolf限制的事实相反,在不匹配解码条件下,非线性Slepian-Wolf码所能达到的最小速率可以严格低于线性Slepian-Wolf码所能达到的最小速率。

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