Characterization of aggregate received power from power beacons in millimeter wave ad hoc networks

Wireless power transfer (WPT) has emerged as an attractive solution to power future wireless communication networks. In this paper, we consider WPT using power beacons (PBs) for a millimeter wave (mmWave) wireless ad hoc network. Using stochastic geometry, we derive the moment generating function (MGF) and the nth cumulant of the aggregate received power from PBs at a reference receiver in closed-form. The MGF allows the complementary cumulative distribution function (CCDF) of the aggregate received power from PBs to be numerically evaluated. We also compare different closed-form distributions which can be used to approximate the CCDF of the aggregate received power. Our results show that the lognormal distribution provides the best CCDF approximation compared to other distributions considered in the literature. The results also show that under practical setups, it is feasible to power users in a mmWave ad hoc network using PBs.