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Coordinated Energy Beamforming: Wireless Power Coverage and Transmission Probability

This paper investigates the wireless power coverage and the transmission probability in a network where multiple access points, distributed according to a homogeneous Poisson point process, cooperate in the energy transfer towards harvesting devices. Using distributed energy beamforming and maximum ratio transmission, and leveraging stochastic geometry tools, the power coverage probability and the transmission probability are obtained in closed-form for three types of devices, namely, inner-cell, cell-edge, and vertex-cell. Exact formulae for the coverage and transmission metrics when devices are serviced by single energy sources are also provided. The impact of the main network parameters on performance is analyzed. In particular, comparative results show the significant gains that can be achieved in the coverage and transmission probabilities when multiple access points participate in the wireless power transfer, as compared to the non-cooperative scheme.