On the outage capacity of an underlay cognitive radio network

In this paper, we consider a point-to-multipoint underlay cognitive radio network under the joint constraint of the primary user peak interference power and maximum transmit power limit of the secondary user (SU). Analytical expressions for the secondary outage capacity are obtained based on exact as well as approximate expressions of the first and second moments of the channel capacity. Numerical results are provided to assess the effect of the number of SU receivers and a given SU outage probability. We also evaluate the impact of the primary network parameters on the secondary network performance.