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A Lower Bound for the Capacity of the Discrete-Time Poisson Channel AbstractA 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 $\es$.
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