Abstract
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 ?, capacity scales like ? log 1/? for small ?. For a Poisson channel whose dark current is a nonzero constant, capacity scales, to within a constant, like ? log log 1/? for small ?.
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