非对称码本下的可靠通信：鲁棒信号散列的信息论分析
Reliable Communications with Asymmetric Codebooks: An Information Theoretic Analysis of Robust Signal Hashing
摘要：
本文对传统的点对点通信体制进行了推广，称之为“非对称码本可靠通信”。在独立同分布（i.i.d）编码器码字的假设下，证明了系统的运算容量等于系统的信息容量，由$\max_{p(x)} I(U;Y)$给出，其中$X, U$和$Y$分别表示编码器码字、译码器码字和译码器输入的各个随机元素.容量结果是在“二进制对称”的情况下（这是传统的“二进制对称信道”为我们的情况下的一个类似的配方），作为系统参数的函数。通过将二进制对称信道的经典Shannon型容量的差异归因于由于码本不对称而引起的{ \em间隙}，做出了概念上有见地的推断。
英文摘要：
In this paper, a generalization of the traditional point-to-point to communication setup, which is named as "reliable communications with asymmetric codebooks", is proposed. Under the assumption of independent identically distributed (i.i.d) encoder codewords, it is proven that the operational capacity of the system is equal to the information capacity of the system, which is given by $\max_{p(x)} I(U;Y)$, where $X, U$ and $Y$ denote the individual random elements of encoder codewords, decoder codewords and decoder inputs. The capacity result is derived in the "binary symmetric" case (which is an analogous formulation of the traditional "binary symmetric channel" for our case), as a function of the system parameters. A conceptually insightful inference is made by attributing the difference from the classical Shannon-type capacity of binary symmetric channel to the {\em gap} due to the codebook asymmetry.
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