Abstract

The large-inputs asymptotic capacity of a peak-power and average-power
limited discrete-time Poisson channel is derived using a new firm
(nonasymptotic) lower bound and an asymptotic upper bound. The upper
bound is based on the dual expression for channel capacity and the
notion of capacity-achieving input distributions that escape to
infinity. The lower bound is based on a lower bound on the entropy
of a conditionally Poisson random variable in terms of the
differential entropy of the conditional mean.

Keywords

Channel capacity, direct detection, high signal-to-noise ratio (SNR),
optical communication, photon, pulse amplitude modulation, Poisson
channel.

-||-   _|_ _|_     /    __|__   Stefan M. Moser
[-]     --__|__   /__\    /__   Senior Scientist, ETH Zurich, Switzerland
_|_     -- --|-    _     /  /   Adjunct Professor, National Yang Ming Chiao Tung University, Taiwan
/ \     []  \|    |_|   / \/    Web: https://moser-isi.ethz.ch/

Last modified: Mon Feb 16 06:25:05 UTC+8 2009