Section: New Results

SINR-based $k$-coverage probability in cellular networks with arbitrary shadowing

In [20] , we give numerically tractable, explicit integral expressions for the distribution of the signal-to-interference-and-noise-ratio (SINR) experienced by a typical user in the down-link channel from the $k$-th strongest base stations of a cellular network modelled by Poisson point process on the plane. Our signal propagation-loss model comprises of a power-law path-loss function with arbitrarily distributed shadowing, independent across all base stations, with and without Rayleigh fading. Our results are valid in the whole domain of SINR, in particular for $SINR<1$, where one observes multiple coverage. In this latter aspect our paper complements previous studies reported in  [55] .