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The Discrete-Time Poisson Channel at Low Input Powers

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4 Author(s)
Lapidoth, A. ; ETH Zurich, Zurich, Switzerland ; Shapiro, J.H. ; Venkatesan, V. ; Ligong Wang

The asymptotic capacity at low input powers of an average-power limited or an average- and peak-power limited discrete-time Poisson channel is considered. For a Poisson channel whose dark current is zero or decays to zero linearly with its average input power ε, capacity scales like ε log 1/ε for small ε. For a Poisson channel whose dark current is a nonzero constant, capacity scales, to within a constant, like ε log log 1/ε for small ε.

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Information Theory, IEEE Transactions on  (Volume:57 ,  Issue: 6 )