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In this paper, we consider a three-node cooperative wireless poweredcommunication system consisting of a multi-antenna hybrid access point (H-AP)and a single-antenna relay and a single-antenna user. The energy constrainedrelay and user first harvest energy in the downlink and then the relay assiststhe user using the harvested power for information transmission in the uplink.The optimal energy beamforming vector and the time split between harvest andcooperation are investigated. To reduce the computational complexity,suboptimal designs are also studied, where closed-form expressions are derivedfor the energy beamforming vector and the time split. For comparison purposes,we also present a detailed performance analysis in terms of the achievableoutage probability and the average throughput of an intuitive energybeamforming scheme, where the H-AP directs all the energy towards the user. Thefindings of the paper suggest that implementing multiple antennas at the H-APcan significantly improve the system performance, and the closed-formsuboptimal energy beamforming vector and time split yields near optimalperformance. Also, for the intuitive beamforming scheme, a diversity order of(N+1)/2 can be achieved, where N is the number of antennas at the H-AP.

Optimization and Analysis of Wireless Powered Multi-antenna Cooperative Systems