Interference and Outage in Doubly Poisson Cognitive Networks

We consider a cognitive radio network with two types of users: primary users (PUs) and cognitive users (CUs), whose locations follow two independent Poisson point processes. The cognitive users follow the policy that a cognitive transmitter is active only when it is outside the primary user exclusion regions. Due to the interaction between the primary users and the cognitive users through exclusion regions, an exact calculation of the interference and the outage probability seems unfeasible. Instead, we derive bounds for the interference (in the form of Laplace transform) and the outage probability. Two network models, the bipolar and the nearest-neighbor model, are considered.