On the distribution and mean of received power in stochastic cellular network

This paper exploits the distribution and mean of received power for cellular network with stochastic network modeling to study the difference between the two cell association criteria, i.e. the strongest received power based cell association and the closest distance based cell association. Consequently we derive the analytical expression of the distribution and the mean of the nth strongest received power and the received power from the nth nearest base station and the derivations have been confirmed by simulation results. From both the simulation results and analytical results, we can see that the distributions of received power with both association criteria vary with different path loss exponents a: there is a clear gap between the two when the exponent is small and the two are almost the same with larger exponent. Meanwhile, the analysis on the mean of the received power suggests that under a certain converged condition, i.e. n > α/2, the average of the received power from the nth closest BS is actually larger than the nth strongest one.