Active Simultaneously Transmitting and Reflecting Reconfigurable Intelligent Surface Assisted Multi-user Security Communication with Coupled Phase Shift
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摘要: 无源智能反射面在增强无线通信系统和提高物理层安全方面极具潜力,但是其存在严重的“双衰落”和半区域覆盖的缺点。为此,该文研究了一种有源同时反射和透射智能反射面(STAR-RIS),并在考虑反射和透射相移互耦合条件下,建立一个联合优化基站波束和有源STAR-RIS波束的安全能效最大化问题。为求解所形成的非凸优化问题,利用连续凸近似、罚函数法、半正定松弛、交替优化技术将原问题转化为凸问题,并提出一种基于惩罚对偶分解算法。仿真结果验证了该文所提算法的有效性。Abstract: Passive intelligent reflecting surfaces hold great potential in enhancing wireless communication systems and improving physical layer security, but they suffer from significant drawbacks such as “double fading” and partial coverage. Therefore, an active Simultaneously Transmitting And Reflecting Reconfigurable Intelligent Surface (STAR-RIS) is conducted in this paper. Considering the coupling between reflection and transmission phase shifts, a joint optimization problem for maximizing the security energy efficiency of base station beams and active STAR-RIS beams is formulated. To solve the resulting non-convex optimization problem, continuous convex approximation, penalty function method, semi-definite relaxation, and alternating optimization techniques are employed to transform the original problem into a convex one. Additionally, a penalty dual decomposition algorithm is proposed. Simulation results validate the effectiveness of the algorithm proposed in this paper.
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1 基于PDD的能效最大化算法
初始化优化变量,收敛精度$\varepsilon = {10^{ - 3}}$ 重复 重复 求解问题式(17),获得${{\boldsymbol{w}}_k}$ 求解问题式(18),获得${\boldsymbol{A}}$ 求解问题式(21),获得$\{ {{\boldsymbol{\theta}} _{\text{R}}},{{\boldsymbol{\theta}} _{\text{T}}}\} $ 求解式(25)、式(26)和式(28),获得$ \{ {\mathop{{\boldsymbol{\theta}} }\limits^{\smile} }_{\text{R}} ,{\mathop{{\boldsymbol{\theta}} }\limits^{\smile} } _{\text{T}}\} $ 直到收敛 判断如果$ \varDelta \le \omega $,更新${{\boldsymbol{\lambda}} _i} = {{\boldsymbol{\lambda}} _i} + \dfrac{1}{\rho }({{\mathop {{\boldsymbol{\theta}} }\limits^{\smile}} _i} - {{ {{\boldsymbol{\theta}} }}_i}),\forall i$ 否则设置$\rho = {\text{c}}\rho $ 更新$\omega = 0.9\varDelta $ 直到$\varDelta \le \varepsilon $,结束循环 -
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