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首页> 外文期刊>IEEE Transactions on Communications >Capacity-Achieving Distributions for the Discrete-Time Poisson Channel—Part II: Binary Inputs
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Capacity-Achieving Distributions for the Discrete-Time Poisson Channel—Part II: Binary Inputs

机译:离散时间泊松​​通道的容量达到分布—第二部分:二进制输入

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Discrete-time Poisson (DTP) channels exist in many scenarios including space laser communication systems which operate over long distances and which can be corrupted by reflected and scattered light. Through simulation, binary-input distributions have been observed to be optimal in many cases, however, little analytical work exists on conditions for optimality or the form of optimal signalling. In this second part, the general properties of Part I are extended to the case of DTP channels where binary-inputs are optimal. Necessary and sufficient conditions on the optimality of binary (i.e. two mass point) distributions are presented by leveraging the general properties of DTP capacity-achieving distributions. Closed-form expressions of the capacity-achieving distributions are derived in several important special cases including zero dark current and for high dark current. Numerical results are presented to elucidate the developed analytical work.
机译:离散时间泊松​​(DTP)信道存在于许多场景中,包括空间激光通信系统,该系统在很长的距离上操作,并可能被反射和散射的光破坏。通过仿真,已观察到二进制输入分布在许多情况下是最佳的,但是,对于最佳性或最佳信号形式的分析工作很少。在第二部分中,将第一部分的常规属性扩展到二进制输入最佳的DTP通道。通过利用DTP容量实现分布的一般属性,提出了关于二元(即两个质量点)分布最优的充要条件。在几种重要的特殊情况下,包括零暗电流和高暗电流,得出了容量分布的闭式表达式。给出数值结果以阐明已开发的分析工作。

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