Performance Analysis for Heterogeneous Cellular Systems with Range   Expansion
  Recently heterogeneous base station structure has been adopted in cellular systems to enhance system throughput and coverage. In this paper, the uplink coverage probability for the heterogeneous cellular systems is analyzed and derived in closed-form. The randomness on the locations and number of mobile users is taken into account in the analysis. Based on the analytical results, the impacts of various system parameters on the uplink performance are investigated in detail. The correctness of the analytical results is also verified by simulation results. These analytical results can thus serve as a guidance for system design without the need of time consuming simulations. 
Haichuan Ding, Shaodan Ma, Chengwen Xing, Zesong Fei, Jingming Kuang
cs.IT math.IT