Achievability of the Rate ${1/2}\log(1+\es)$ in the Discrete-Time Poisson Channel

Details Achievability of the Rate ${1/2}\log(1+\es)$ in the Discrete-Time Poisson Channel Achievability of the Rate ${1/2}\log(1+\es)$ in the Discrete-Time Poisson Channel

2008-09-19

arxiv.org/abs/0809.3370v1

Computer Science

Information Theory

Scientific paper

A simple lower bound to the capacity of the discrete-time Poisson channel
with average energy $\es$ is derived. The rate ${1/2}\log(1+\es)$ 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 $\es$.

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