### Capacity and error exponents of stationary point processes with additive displacement noise

Baccelli, F *(INRIA Paris - ENS)*

Monday 22 March 2010, 09:30-10:30

Seminar Room 1, Newton Institute

#### Abstract

We define and analyze the Shannon-Poltyrev capacity of a stationary point process under a stationary and ergodic additive displacement noise. We give a representation of the error probability within this setting in terms of the Palm probability of the underlying point process. In the Poisson case, we use this representation and large deviation techniques for deriving bounds on the associated error exponents. This also leads to bounds on the error exponents of the channel with stationary and ergodic additive noise and with power constraint.
Joint work with Venkat Anantharam.

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