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In this paper, a joint beamforming design for max-min fair simultaneouswireless information and power transfer (SWIPT) is investigated in a greencloud radio access network (Cloud-RAN) with millimeter wave (mmWave) wirelessfronthaul. To achieve a balanced user experience for separately located datareceivers (DRs) and energy receivers (ERs) in the network, joint transmitbeamforming vectors are optimized to maximize the minimum data rate among allthe DRs, while satisfying each ER with sufficient RF energy at the same time.Then, a two-step iterative algorithm is proposed to solve the originalnon-convex optimization problem with the fronthaul capacity constraint in an$l_0$-norm form. Specifically, the $l_0$-norm constraint can be approximated bythe reweighted $l_1$-norm, from which the optimal max-min data rate and thecorresponding joint beamforming vector can be derived via semidefiniterelaxation (SDR) and bi-section search. Finally, extensive numericalsimulations are performed to verify the superiority of the proposed jointbeamforming design to other separate beamforming strategies.

Beamforming Design for Max-Min Fair SWIPT in Green Cloud-RAN with Wireless Fronthaul