A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime
Author(s)Wang, Ligong; Wornell, Gregory W.
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We study the discrete-time Poisson channel under the constraint that its average input power (in photons per channel use) must not exceed some constant ε. We consider the wideband, high-photon-efficiency extreme where ε approaches zero, and where the channel's dark current approaches zero proportionally with ε. Improving over a previously obtained first-order capacity approximation, we derive a refined approximation, which includes the exact characterization of the second-order term, as well as an asymptotic characterization of the third-order term with respect to the dark current. We also show that pulse-position modulation is nearly optimal in this regime.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Research Laboratory of Electronics
IEEE Transactions on Information Theory
Institute of Electrical and Electronics Engineers (IEEE)
Wang, Ligong, and Gregory W. Wornell. “A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime.” IEEE Trans. Inform. Theory 60, no. 7 (July 2014): 4299–4311.
Author's final manuscript