Bounding the Mean Interference in Mat\'ern Type II Hard-Core Wireless Networks

Abstract

The calculation of mean interference at a reference point of Matérn point process (MPP) type II involves integrals of the pair correlation function (PCF) which are in general difficult to handle. In this letter, we prove that the PCF in MPP type II is decreasing convex function of the pairwise distance. Using the convexity property we propose simple bounds for the PCF and subsequently for the mean interference which are always tighter than the existing bounds.