Construction of Slepian-Wolf Source Code and Broadcast Channel Code Based on Hash Property

Jun Muramatsu; Shigeki Miyake

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arXiv · 1006.5271

Construction of Slepian-Wolf Source Code and Broadcast Channel Code Based on Hash Property

Jun Muramatsu·Shigeki Miyake

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Abstract

The aim of this paper is to prove theorems for the Slepian-Wolf source coding and the broadcast channel coding (independent messages and no common message) based on the the notion of a stronger version of the hash property for an ensemble of functions. Since an ensemble of sparse matrices has a strong hash property, codes using sparse matrices can realize the achievable rate region. Furthermore, extensions to the multiple source coding and multiple output broadcast channel coding are investigated.

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Jun Muramatsu, Shigeki Miyake. 2010-06-28. Construction of Slepian-Wolf Source Code and Broadcast Channel Code Based on Hash Property. https://arxiv.org/abs/1006.5271

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