A lower bound for the capacity of the discrete-time Poisson channel

Authors:
Alfonso Martinez
Affiliations:
Centrum Wiskunde & Informatica, The Netherlands
Venue:
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 4
Year:
2009

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Abstract

A simple lower bound to the capacity of the discrete-time Poisson channel with average number of quanta of energy Ɛs is derived. The rate 1/2log(1+Ɛs) 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 Ɛs.