Stochastic Wireless Powered Communication Networks With Truncated Cluster Point Process

Wireless powered communication network (WPCN) can prolong the lifetime of energy constrained wireless networks in a sustainable way without replacing or recharging the batteries. A popular approach for analyzing stochastic WPCN is to model the location of different nodes according to a homogeneous Poisson point process. However, it is more reasonable to place user equipments (UEs) around a power beacon considering the inefficiency and difficulty of wireless energy transfer. This motivates us to model the location of UEs as a cluster point process (CPP). With practical transmission range considered, the truncated Matern CPP and Thomas CPP are proposed. The performances of coverage probability and the average received signal-to-interference-plus-noise ratio are derived. Then, we optimize the time allocation fraction to maximize the average network throughput by pseudo-convexity optimization, and the closed-form optimal results are presented.