Stochastic Ordering Based Carrier-to-Interference Ratio Analysis for the Shotgun Cellular Systems

An analytical tool based on usual stochastic ordering is developed to compare the distributions of carrier-to-interference ratio at the mobile station of cellular systems where the base stations are distributed randomly according to certain non-homogeneous Poisson point processes. The comparison is done by studying the base station densities without having to solve for the distributions of the carrier-to-interference ratio, which are often hard to obtain.