Secure Communication Method Based on Intelligent Reflection Surface Assisted UAV Relay System
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摘要: 为了提高无人机中继系统的安全通信性能，解决无线信道受障碍物遮挡问题，该文提出一种基于智能反射面(IRS)辅助的无人机(UAV)中继系统安全通信方法。在所提方法中，通过联合优化UAV的位置、基站波束成形和IRS相移，最大化系统的最小保密速率。为了解决这个复杂的非凸优化问题，该文将原问题分解为UAV位置优化子问题、波束成形和IRS相移优化两个子问题。使用1阶泰勒展开处理优化问题中的非凸项，然后提出一种交替优化的算法进行求解。仿真结果表明该文提出的算法能提高系统的最小保密速率，并且具有良好的收敛性。Abstract: To improve the security of wireless transmission system and solve the problem that wireless channel is easily blocked by obstacles, a secure communication method based on an Intelligent Reflecting Surface (IRS) assisted Unmanned Air Vehicle (UAV) relay system is proposed. In the proposed method, the minimum-secrecy are maximized by jointly optimizing the position of UAV, beamforming at base station and phase shifts of IRS. To solve this complicated non-convex optimization problem, the original problem is divided into UAV position optimization sub-problem, beamforming and IRS’s phase shifts optimization sub-problem. The first order Taylor expansion method is applied to handle the non-convex terms of the optimization problems. Then, an alternate optimization algorithm is proposed to solve the problem. The simulation results shows that the proposed algorithm can improve the minimum-secrecy rate, and its convergence is well.
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表 1 优化过程
初始化参数：${{\boldsymbol{W}}^{(0)}},{{\boldsymbol{v}}^{(0)}}$ 收敛精度$\varepsilon \ge0$，迭代次数$l = 0$，最大
迭代次数${L_{\max }}$；(1) While$\left| {c_{}^{(l)} - c_{}^{(l - 1)}} \right| \ge\varepsilon $或$l < {L_{\max }}$do (2) 迭代次数$ l = l + 1 $； (3) 设置${\boldsymbol{W}} = {{\boldsymbol{W}}^{(l - 1)}},{\boldsymbol{v}} = {{\boldsymbol{v}}^{(l - 1)}}$求解问题式(22)确定无人机位
置${\boldsymbol{w}}_{\text{u}}^{(l)}$；(4) 设置${{\boldsymbol{w}}_{\text{u}}} = {\boldsymbol{w}}_{\text{u}}^{(l)},{\boldsymbol{v}} = {{\boldsymbol{v}}^{(l - 1)}}$求解问题式(32)得到波束成形向
量优化值${{\boldsymbol{W}}^{(l)}}$；(5) 设置${{\boldsymbol{w}}_{\text{u}}} = {\boldsymbol{w}}_{\text{u}}^{(l)},{\boldsymbol{W}} = {{\boldsymbol{W}}^{(l)}}$求解问题式(33)得到IRS相移优
化值${{\boldsymbol{v}}^{(l)}}$；
(6) 更新最小保密速率$c_{}^{(l)}{\text{ = }}\mathop {\min }\limits_{\forall k} \left\{ {R_k^{(l)} - R_{{\text{e}},k}^{(l)}} \right\}$；(7) End While 
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