Characterizing the mobile coverage probability in different geometries

Abstract

In this work, we characterize the RF power distribution within a given
area via its mean and variance in three particular geometries. Through
our statistical approach we have developed computationally simple
equations that can be used to compute the mean value and variance
of the RF power received in a circular area and in some other geometries
without numerical evaluations of integrals and which improve on the
results/methods provided in the literature to date.

We begin our study with the analysis of the received power on a linear
trajectory and then we extend the result for a circular geometry and
have validated our results via Monte Carlo simulations. These results
are useful in the study of the coverage of a RF transmitter or to
determine where the RF spectrum can be reused.