On the capacity of the discrete-time poisson channel

  • Authors:
  • Amos Lapidoth;Stefan M. Moser

  • Affiliations:
  • Department of Information Technology and Electrical Engineering, Swiss Federal Institute of Technology, Zurich, Switzerland;Department of Communication Engineering, National Chiao Tung University, Hsinchu, Taiwan

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

The large-inputs asymptotic capacity of a peak-power and average-power limited discrete-time Poisson channel is derived using a new firm (nonasymptotic) lower bound and an asymptotic upper bound. The upper bound is based on the dual expression for channel capacity and the notion of capacity-achieving input distributions that escape to infinity. The lower bound is based on a lower bound on the entropy of a conditionally Poisson random variable in terms of the differential entropy of its conditional mean.