In this paper, we investigate the secrecy design in a sustainable relay network, where the relay is energy harvesting enabled and utilizes time switching to harvest wireless power. Specifically, assuming half-duplex amplify-and-forward relaying, we investigate the worst-case secrecy rate maximization by jointly designing the relay beamforming matrix, artificial noise covariance, and the time switching ratio. However, the formulated problem is highly non-convex due to the secrecy rate function and the dynamic relay transmit power constraint. By decoupling the original problem, we propose a two-layer optimization algorithm, where the outer problem is solved by two-dimensional search while the inner problem is solved by semi-definite relaxation. Numerical results show the effectiveness of the proposed scheme.
INTRODUCTIONRecently, a newly emerging absorber, named as metamaterial absorber (MA), has aroused great attention [1][2][3]. Specifically, the multi-band, broad-band, and tunable MAs were investigated in [1,2], and [3], respectively. Based on amount of theoretically analysis and experiment data, the authors obtained several promising conclusions about MA. The progress in MA makes a new technique named energy harvesting (EH) become more practical, which is considered as one of the most effective approaches for improving the energy efficiency of wireless networks [4]. Since relay is commonly an energy-constrained node, it is critical to require ambient energy supply for supporting transmission in relay networks [5].Recently, there has been a urgent concern about EH-enabled relay, e.g., the relay can harvest energy from the ambient radio frequency (RF) signal [6]. Specifically, in [7], the authors investigated a novel full duplex wireless-powered relay with self-energy recycling scheme. In [8], the authors investigated the relay beamforming (BF) and power splitting (PS) for EH-enabled amplify-and-forward (AF) relay networks. In [9], the authors investigated the joint power control and energy transfer scheme in EHenabled AF relay networks. In [10], taking into account imperfect channel state information (CSI), the authors proposed a robust BF and PS scheme.On the other hand, due the complex communication environment and the openness of wireless channels, the security issues of relay networks are facing severe challenges [11]. The physical layer security (PLS) technique, which utilizes the features of wireless channel to improve the security, has been proved to be an effective way [12]. Specifically,[13][14][15], the authors investigated secure EHenabled relay methods to maximize the achievable secrecy rate. In [16], the authors investigated a secure EH-enabled relay design to minimize the relay power consumption.It should be noted that most of these works focus on PS scheme. On the other hand, time switching (TS) is another feasible way to coordinate EH and information decoding (ID) due to simplicity [17][18][19][20][21]. Specifically,in [17], the authors compared the performances of PS and TS methods in EH-enabled