  Physical layer security is a key issue in the full duplex (FD) communication
systems due to the broadcast nature of wireless channels. In this paper, the
joint design of information and artificial noise beamforming vectors is
proposed for the FD simultaneous wireless information and power transferring
(FD-SWIPT) systems. To guarantee high security and energy harvesting
performance of the FD-SWIPT system, the proposed design is formulated as a sum
information transmission rate (SITR) maximization problem under
information-leakage and energy constraints. In addition, we consider the
fairness issue between the uplink and downlink information transmission rates
by formulating a \mbox{fairness-aware} SITR-maximization problem. Although the
formulated \mbox{SITR-maximization} and \mbox{fairness-aware}
\mbox{SITR-maximization} problems are non-convex, we solve them via
semidefinite relaxation and one-dimensional search. The optimality of our
proposed algorithms is theoretically proved, and the computation complexities
are established. Moreover, we propose two suboptimal solutions to the
formulated optimization problems. In terms of the SITR-maximization problem,
numerical results show that the performance achieved by one of the two
suboptimal algorithms is close to the performance of the optimal algorithm with
increasing maximum transmission power of the FD-BST.
