Two-Hop Co-Located Robust Precoding Design in Radio SWIPT Relay Networks

—This paper studies the two-hop co-located transmission architecture that incorporates simultaneous wireless information and power transfer in radio relay networks. Joint robust precoding design of the information and power transfer that can minimize the overall relays’ power consumption while satisfying our predefined quality-of-service and energy-harvest requirements is provided. By using SemiDefinite Relaxation technique, the non-convex initial problem can be converted to be convex. Additionally, the dual problem of the relaxed problem is investigated, and the closed-form optimal solutions of the relaxed problem can be achieved by our proposed method. Finally, approximate solutions show the effectiveness of our proposed robust precoding design.