论文标题

离散时间泊松​​通道的非扰动能力上限为正电流

Non-Asymptotic Capacity Upper Bounds for the Discrete-Time Poisson Channel with Positive Dark Current

论文作者

Cheraghchi, Mahdi, Ribeiro, João

论文摘要

我们在平均功率约束和任意恒定的深色电流项下得出了离散时间泊松​​通道的容量的改进且易于计算的上限。这是通过将一般凸双重性框架与作者先前工作中考虑的Digamma分布的修改版本相结合的(Cheraghchi,J。ACM 2019; Cheraghchi,Cheraghchi,Ribeiro,Ieeetrans。Inf。Troosion2019)。对于大多数参数选择,即使在输入上施加了额外的峰值约束,我们的上限也会改善先前的结果。

We derive improved and easily computable upper bounds on the capacity of the discrete-time Poisson channel under an average-power constraint and an arbitrary constant dark current term. This is accomplished by combining a general convex duality framework with a modified version of the digamma distribution considered in previous work of the authors (Cheraghchi, J. ACM 2019; Cheraghchi, Ribeiro, IEEE Trans. Inf. Theory 2019). For most choices of parameters, our upper bounds improve upon previous results even when an additional peak-power constraint is imposed on the input.

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