Title :
On the Capacity of the Discrete-Time Poisson Channel
Author :
Lapidoth, Amos ; Moser, Stefan M.
Author_Institution :
Dept. of Inf. Technol. & Electr. Eng., ETH Zurich, Zurich
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.
Keywords :
channel capacity; discrete time systems; optical communication; random processes; stochastic processes; Poisson random variable; asymptotic upper bound; discrete-time Poisson channel capacity; entropy; nonasymptotic lower bound; optical communication; Channel capacity; Dark current; Entropy; H infinity control; Optical fiber communication; Optical pulses; Optical receivers; Pulse modulation; Random variables; Upper bound; Channel capacity; Poisson channel; direct detection; high signal-to-noise ratio (SNR); optical communication; photon; pulse amplitude modulation;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2008.2008121
