A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime
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Wornell_A refined.pdf
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Author(s)
Wang, Ligong
Wornell, Gregory W.
Date Issued
April 2014
Journal
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
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.
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/TIT.2014.2320718
