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首页> 外文期刊>Information Theory, IEEE Transactions on >Joint Source Channel Coding Via Statistical Mechanics: Thermal Equilibrium Between the Source and the Channel
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Joint Source Channel Coding Via Statistical Mechanics: Thermal Equilibrium Between the Source and the Channel

机译：通过统计力学进行联合源通道编码：源与通道之间的热平衡

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摘要

We examine the classical joint source-channel coding problem from the viewpoint of statistical physics and demonstrate that in the random coding regime, the posterior probability distribution of the source given the channel output is dominated by source sequences, which exhibit a behavior that is highly parallel to that of thermal equilibrium between two systems of particles that exchange energy, where one system corresponds to the source and the other corresponds to the channel. The thermodynamical entropies of the dual physical problem are analogous to conditional and unconditional Shannon entropies of the source, and so, their balance in thermal equilibrium yields a simple formula for the mutual information between the source and the channel output, that is induced by the typical code in an ensemble of joint source–channel codes under certain conditions. This formula, as well as the statistical-mechanical perspective that leads to it, form the main contribution of this paper. We also demonstrate how our results can be used in applications, like the wiretap channel, and how can it be extended to multiuser scenarios, like that of the multiple access channel.
机译：我们从统计物理学的角度研究经典的联合信源-信道编码问题，并证明在随机编码机制中，给定信道输出的信源的后验概率分布受信源序列支配，其表现出高度并行的行为与两个交换能量的粒子系统之间的热平衡有关，其中一个系统对应于源，另一个系统对应于通道。对偶物理问题的热力学熵类似于源的有条件和无条件香农熵，因此，它们在热平衡中的平衡为源和通道输出之间的互信息产生了一个简单的公式，该公式由典型在某些条件下，源代码-信道代码联合在一起。该公式以及得出该公式的统计力学观点构成了本文的主要贡献。我们还演示了如何将结果用于诸如窃听通道的应用程序中，以及如何将其扩展到多用户方案（如多路访问通道）中。

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