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首页> 外文期刊>IEEE Transactions on Information Theory >On Witsenhausen's zero-error rate for multiple sources
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On Witsenhausen's zero-error rate for multiple sources

机译:关于威森豪森多种来源的零错误率

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摘要

We investigate the problem of minimum rate zero-error source coding when there are several decoding terminals having different side information about the central source variable and each of them should decode in an error-free manner. For one decoder this problem was considered by Witsenhausen. The Witsenhausen rate of the investigated multiple source is the asymptotically achievable minimum rate. We prove that the Witsenhausen rate of a multiple source equals the Witsenhausen rate of its weakest element. The proof relies on a powerful result of Gargano, Korner, and Vaccaro about the zero-error capacity of the compound channel.
机译:当存在多个具有关于中心源变量的辅助信息的解码终端,并且每个解码终端都应以无错误的方式解码时,我们研究最小速率零错误源编码的问题。对于一个解码器,Witsenhausen考虑了这个问题。研究的多个源的维森豪森速率是渐近可达到的最小速率。我们证明了多种来源的维森豪森率等于其最弱元素的维森豪森率。证明依赖于Gargano,Korner和Vaccaro关于复合通道零错误能力的强大结果。

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