On the outage probability in CDMA cellular networks with adaptive antennas

We assume that a base transmitter station (BTS) in a code division multiple access (CDMA) mobile network is equipped with a smart antenna. Each transmitting user is tracked by a beam of fixed width centered at the user. Mobiles are assumed to apply perfect power control such that each is received with the same unit power at the BTS. Under these assumptions outage occurs if the number of overlapping beams exceeds a certain threshold. The according probability is calculated under different random traffic models. Particularly homogeneous Poisson fields and isotropic planar phase processes are considered. The investigations are strongly related to the first hitting time in a M/D/∞ queue as well as object recognition for a photon detector.