Optimal transceiver design for SWIPT system with full-duplex receiver and energy-harvesting eavesdropper

In this paper, we consider simultaneous wireless information and power transfer (SWIPT) in a multiple-input-single-output (MISO) channel with a full-duplex (FD) receiver and an energy-harvesting (EH) receiver which is a potential eavesdropper, where the receivers adopt the power splitting approach to decode information and harvest energy simultaneously. The FD receiver decodes the information that should be kept secret from the EH receiver and sends jamming signals to degrade the eavesdropper simultaneously using the energy it harvests from the source. Taking into account the eavesdropper channel uncertainties, we attempt to maximize the worst-case secrecy rate (WCSR) at the receiver by jointly optimizing the information beamforming and energy covariance at the transmitter and the artificial noise (AN) covariance at the FD receiver, subject to the power constraint at the transmitter and the minimum energy required at the EH receiver. In order to solve this non-convex optimization problem, semidefinite relaxation (SDR) approach and extended S-procedure are explored to convert the original non-convex optimization problem to a convex one which can be solved efficiently. Numerical results are given to show the superiority of our proposed scheme.