A geometrical probability-based approach towards the analysis of uplink inter-cell interference

Interference signal-to-interference ratio (SIR), and other performance metrics in cellular networks depend on the distances between the nodes. As a result, a geometrical probability-based approach can shed light on the analysis of the interference and SIR. In cellular networks, hexagon geometry is considered as the preferred cell shape, as it provides compactness and coverage efficiency. We propose an analytical model for the interference and SIR using the existing knowledge of random distances related to the hexagon geometry. We derive the closed-form expressions for the probability distribution function (PDF) of the interference from one interferer, as well as the PDF of the received signal power of the intended transmission using a geometrical probability-based approach. Moreover, the distributions of the total interference power and SIR are presented in this work. Finally, the analytical results are verified through extensive simulations, which shows the accuracy of our model.