Poisson Noise Channel with Dark Current: Numerical Computation of the Optimal Input Distribution

2021/11/22 by Luca Barletta, Barletta, Luca, Alex Dytso +1
Engineering · Computer Science · #Optical Network Technologies #Quantum Information and Cryptography #Photonic and Optical Devices

paper · pdf · doi:10.48550/arxiv.2111.11371

Abstract

This paper considers a discrete time-Poisson noise channel which is used to model pulse-amplitude modulated optical communication with a direct-detection receiver. The goal of this paper is to obtain insights into the capacity and the structure of the capacity-achieving distribution for the channel under the amplitude constraint A and in the presence of dark current λ. Using recent theoretical progress on the structure of the capacity-achieving distribution, this paper develops a numerical algorithm, based on the gradient ascent and Blahut-Arimoto algorithms, for computing the capacity and the capacity-achieving distribution. The algorithm is used to perform extensive numerical simulations for various regimes of A and λ.

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