A Lower Bound for the Capacity of the Discrete-Time Poisson Channel
Alfonso Martinez
In: ISIT 2009, 28 June-3 July, Seoul, Korea.

## Abstract

A simple lower bound to the capacity of the discrete-time Poisson channel with average number of quanta of energy $\es$ is derived. The rate $\frac{1}{2}\log(1+\es)$ is shown to be the generalized mutual information of a modified minimum-distance decoder, when the input follows a gamma distribution of parameter $1/2$ and mean $\es$.

EPrint Type: Conference or Workshop Item (Paper) Project Keyword UNSPECIFIED Computational, Information-Theoretic Learning with Statistics 6141 Alfonso Martinez 08 March 2010