Gelfand-Pinsker通道:可靠性函数的强逆和上界
The Gelfand-Pinsker Channel: Strong Converse and Upper Bound for the Reliability Function
摘要:
我们考虑Gelfand-Pinsker离散无记忆信道(DMC)模型,并提供了一个强逆的容量。强逆,然后用于获得上界的可靠性函数。在我们的证明工具是一个新的技术引理,它提供了一个上限的代码与码字,有条件地典型的一组典型的状态序列的大消息相关的子集的速率。这个技术结果是一个非直接模拟的公知结果的DMC没有国家,提供了一个上限的一个良好的代码与码字的固定类型(可以找到,例如,在Csiszar-Korner书)。
英文摘要:
We consider a Gelfand-Pinsker discrete memoryless channel (DMC) model and provide a strong converse for its capacity. The strong converse is then used to obtain an upper bound on the reliability function. Instrumental in our proofs is a new technical lemma which provides an upper bound for the rate of codes with codewords that are conditionally typical over large message dependent subsets of a typical set of state sequences. This technical result is a nonstraightforward analog of a known result for a DMC without states that provides an upper bound on the rate of a good code with codewords of a fixed type (to be found in, for instance, the Csiszar-Korner book).
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