Robust beamforming for multiuser MISO interference channel with energy harvesting constraint

In this paper, we study the robust transmit beamforming and receive power splitting design for simultaneous wireless information and power transfer in multiuser multiple-input single-output interference channel with imperfect channel-state information at the transmitter. We consider two types of receivers, namely Type I and Type II receivers according to the ability of eliminating the interference from received signals. Following the worst-case model, we minimize the average total transmit power subject to a set of energy harvesting constraint and SINR constraint for Type I receiver or SNR constraint for Type II receiver, respectively. Based on the Lagrangian multiplier method, we propose a lower and upper bounds algorithm that is able to achieve a global optimum for Type I receiver. For Type II receiver, we transform this problem into a relaxed semidefinite programming problem, which can be solved efficiently. It is shown from simulation results that our proposed method outperform the non-robust scheme.