A GEOMETRIC METHOD FOR COMPUTING THE NODAL DISTANCE DISTRIBUTION IN MOBILE NETWORKS

This paper presents a geometrically based method for the calculation of the node-to-node distance distribution function in circular-shaped networks. In our approach, this function is obtained from the intersection volume of a sphere and an ellipsoid. The method is valid for both overlapping and non-overlapping networks. Simulation results and comparisons with methods in the literature demonstrate the e-cacy of the approach. The relation between networks geometric parameters and distance statistics is explored. As an application example, we model distance-dependent path loss and investigate the impact of channel characteristics and networks size on signal absorption. The aforementioned model is a useful and low- complexity tool for system-level modeling and simulation of mobile communication systems.