Outage probabilities in CDMA networks with Poisson traffic

We consider a very general model of mobility, and investigate the spatial distribution of active mobile calls in the system at an arbitrary time t. We show that the set of active mobile locations forms a Poisson process in space. We consider a CDMA model with shadowing and distance-dependent path loss, and with soft handoff. We show that the set of active users in each cell (at time t) forms an independent Poisson process in space. We use Campbell´s theorem to characterize the first two moments of the interference of other-cell users at each cell-site, and in this way obtain a Gaussian approximation for the other-cell interference at time t. We consider an example and use this approximation to calculate outage probabilities and compare it with simulation. Our work combines the theory of Poisson processes reviewed by Kingman (1993), with that of CDMA traffic modeling proposed by Gilhousen et al. (1991)