Second-Order Asymptotics of the Continuous-Time Poisson Channel

03/25/2019

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by   Yuta Sakai, et al.

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The paper derives the optimal second-order coding rate for the continuous-time Poisson channel. This is the first instance of a second-order result for a continuous-time channel. The converse proof hinges on a novel construction of an output distribution consisting of a convex combination of countably infinitely many distributions indexed by a subset of the rationals.