Non-Asymptotic Capacity Upper Bounds for the Discrete-Time Poisson Channel with Positive Dark Current
Information Theory
2020-11-03 v2 math.IT
Abstract
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.
Keywords
Cite
@article{arxiv.2010.14858,
title = {Non-Asymptotic Capacity Upper Bounds for the Discrete-Time Poisson Channel with Positive Dark Current},
author = {Mahdi Cheraghchi and João Ribeiro},
journal= {arXiv preprint arXiv:2010.14858},
year = {2020}
}
Comments
12 pages, 2 figures. Minor revisions in the introduction