The Poisson Channel at Low Input Powers

Details The Poisson Channel at Low Input Powers The Poisson Channel at Low Input Powers

2008-10-20

arxiv.org/abs/0810.3564v1

Computer Science

Information Theory

To be presented at IEEEI 2008, December 3-5 2008, Eilat, Israel

Scientific paper

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 $E$, capacity scales like $E\log\frac{1}{E}$ for small $E$. For a Poisson channel whose dark current is a nonzero constant, capacity scales, to within a constant, like $E\log\log\frac{1}{E}$ for small $E$.

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