Stochastic geometry based analysis of heterogeneous networks

Recent cellular systems are composed of multiple tiers of access points with dense base station deployments in order to maintain higher coverage region and network capacity. Classical methods of modeling base station deployments such as hexagonal grid or square grid modeling are mostly insufficient to analyze characteristics of the real geometric configuration. As a result, stochastic geometry approach has been suggested to provide analytically tractable models of ad hoc wireless networks. Since the interference is a primary limitation factor of the capacity of wireless networks and the quality of service, inter-cell interference coordination (ICIC) is suggested to enhance the performance of the network, especially in heterogeneous networks. We are mainly focused on the performance of the strict fractional frequency reuse (FFR) and soft frequency reuse (SFR) schemes, which are the two most commonly used ICIC techniques. Since small cells are becoming an essential part of future LTE networks, it is vital to investigate the impact of user mobility on heterogeneous networks. We examine different approaches for mobility evaluation of cellular networks by providing single snapshot analysis of the interference and coverage probability.