  In this paper, we study resource allocation algorithm design for power
efficient secure communication with simultaneous wireless information and power
transfer (WIPT) in multiuser communication systems. In particular, we focus on
power splitting receivers which are able to harvest energy and decode
information from the received signals. The considered problem is modeled as an
optimization problem which takes into account a minimum required
signal-to-interference-plus-noise ratio (SINR) at multiple desired receivers, a
maximum tolerable data rate at multiple multi-antenna potential eavesdroppers,
and a minimum required power delivered to the receivers. The proposed problem
formulation facilitates the dual use of artificial noise in providing efficient
energy transfer and guaranteeing secure communication. We aim at minimizing the
total transmit power by jointly optimizing transmit beamforming vectors, power
splitting ratios at the desired receivers, and the covariance of the artificial
noise. The resulting non-convex optimization problem is transformed into a
semidefinite programming (SDP) and solved by SDP relaxation. We show that the
adopted SDP relaxation is tight and achieves the global optimum of the original
problem. Simulation results illustrate the significant power saving obtained by
the proposed optimal algorithm compared to suboptimal baseline schemes.
