Analytical Modeling of Uplink Power Control in Two-tier Femtocell Networks

Despite the advantages of deploying femtocells into cellular networks, the consequent cross-tier interference has seriously limited the network performance. Applying different power control techniques has been heavily discussed in 3GPP as an efficient approach for handling dominant interference scenarios. Instead of relying on system level simulations, this paper evaluates an analytical uplink power control model based on spatial Poisson Point Process. Tractable expressions for the coverage probability and average achievable rates of both Macro UEs and Femto UEs are obtained. We also propose to reduce the densities of femtocells around the macro base stations and analyze the consequent network performance. These results provide guidelines for the design of two-tier co-channel networks.