不准确CSI下智能反射表面辅助的多用户系统物理层安全方案设计

雷维嘉; 翟泽旭; 雷宏江; 唐宏

doi:10.11999/JEIT220405

不准确CSI下智能反射表面辅助的多用户系统物理层安全方案设计

doi: 10.11999/JEIT220405

1.
重庆邮电大学通信与信息工程学院重庆 400065
2.
重庆邮电大学移动通信技术重庆市重点实验室重庆 400065

基金项目: 国家自然科学基金(61971080)

详细信息

作者简介:
雷维嘉：男，1969年生，博士，教授，主要研究方向为无线通信和移动通信技术

翟泽旭：男，1998年生，硕士生，研究方向为智能反射面和物理层安全通信技术

通讯作者:
翟泽旭　982876720@qq.com

中图分类号: TN911
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- 被引次数: 0
出版历程
- 收稿日期: 2022-04-06
- 修回日期: 2022-06-21
- 网络出版日期: 2022-06-27
- 刊出日期: 2022-07-25

Design of Physical Layer Security Scheme for Intelligent Reflecting Surface Assisted Multi-User System with Imperfect CSI

1.
School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
2.
Chongqing Key Laboratory of Mobile Communications Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Funds: The National Natural Science Foundation of China (61971080)

摘要

摘要: 该文研究智能反射表面(Intelligent Reflecting Surface, IRS)辅助的多用户下行系统中的物理层安全的优化问题。多个用户之间的信息需要相互保密，每个时隙，非信息传输的目标用户视为窃听者，因此这是一个多窃听者的安全传输系统。由于信道的时变性，基站拥有窃听信道的信道状态信息(Channel State Information, CSI)为与真实的CSI间存在误差的过时信息。在此条件下，以系统最坏情况下的保密速率最大化为目标，对基站发射信息信号和人工噪声波束成形矢量，以及IRS的相移矩阵进行联合优化。原始优化问题为非凸半正定规划问题，利用松弛变量、惩罚函数、Charnes-Cooper变换和交替迭代优化等方法将原问题转化为凸问题并求解。仿真结果显示，相较于基准方案，该文所提出的优化算法能有效提高系统的保密速率。
- 智能反射表面 /
- 物理层安全 /
- 系统保密速率 /
- 人工噪声 /
- 波束成形
Abstract: This paper investigates the optimization problem of physical layer security for an Intelligent Reflecting Surface (IRS) assisted multi-user downlink system. In each time slot, the information is sent to one user and is kept confidential from to other users, so it is a secure transmission system with multiple eavesdroppers. The target user of the information is the legitimate receiver and the others are regarded as eavesdroppers. The Channel State Information (CSI) of the eavesdropping channels owned by the base station is outdated because of the time variability of the channels, and there is error between the outdated CSI and the real CSI. To maximize system security rate in the worst case, the beamforming vectors of the signal and the artificial noise, and the IRS phase shifts are jointly optimized. The original optimization problem is a non-convex positive semi-definite programming problem.The problem is transformed into a convex problem and solved by using slack variables, penalty-based, Charnes-Cooper transformation, alternating optimization and other methods. The simulation results show that the proposed optimization algorithm can effectively improve the system security rate compared with other benchmark schemes.
- Intelligent Reflecting Surface (IRS) /
- Physical layer security /
- System security rate /
- Artificial noise /
- Beamforming

HTML全文

图 1 IRS 辅助的安全通信系统模型

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图 2 Alice发射功率对系统保密速率的影响

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图 3 Alice发射天线数对系统保密速率的影响

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图 4 Rose 反射单元数对系统保密速率的影响

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图 5 窃听者数目对系统保密速率的影响

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图 6 信道误差容忍度对系统保密速率的影响

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图 7 交替迭代算法收敛过程

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表 1 优化问题式(9)的求解算法(算法1)

　(1)初始化参数：步长

$\delta$ ，

$i = 1$ ，

$\varOmega = \varnothing$ ，

${\beta ^{(1)}} = 1$ .

　(2)while:

　(3)给定

${\beta ^{(i)}}$ ，求解问题(16)，得到解

$\varphi ({\beta ^{(i)}})$ .

　(4)

$\varOmega = \varOmega \cup \varphi ({\beta ^{(i)} })$ ，

$i = i + 1$ .

　(5)更新

${\beta ^{(i)}} = {\beta ^{(i - 1)}} + \delta$ .

　(6)until

${\beta ^{(i)}} > 1 + \sigma _{\text{B}}^{ - 2}P\left\| {{{\mathbf{h}}_{{\text{AB}}}}} \right\|_{\text{F}}^2$ .

　(7)输出

$\varOmega$ 中最大值

$\varphi ({\beta ^{{\text{opt}}}})$ 及其对应的

${\beta ^{{\text{opt}}}}$ .

下载: 导出CSV

表 2 第2层优化问题(16)的求解算法(算法2)

　(1)初始化参数：迭代次数

$m = 0$ ，

${{\boldsymbol{\varPhi}} ^{(0)} }$ ，

$\zeta$ .

　(2)while：

　(3)

$m = m + 1$ .

　(4)令

${\boldsymbol{\varPhi}} = {{\boldsymbol{\varPhi}} ^{(m - 1)} }$ ，求解问题式(18)，得到

${{\boldsymbol{Q}}^{(m)}}$ ,

${{\boldsymbol{Z}}^{(m)}}$ 与

${\xi ^{(m)}}$ .

　(5)利用公式

${{\boldsymbol{W}}_1} = {{\boldsymbol{Q}} \mathord{\left/ {\vphantom {{\boldsymbol{Q}} \xi }} \right. } \xi }$ 与

${{\boldsymbol{W}}_2} = {{\boldsymbol{Z}} \mathord{\left/ {\vphantom {{\boldsymbol{Z}} \xi }} \right. } \xi }$ 得到

${{\boldsymbol{W}}_1}^{(m)}$ 与

${{\boldsymbol{W}}_2}^{(m)}$ .

　(6)令

${{\boldsymbol{W}}_1} = {\boldsymbol{W}}_1^{(m)}$ 与

${{\boldsymbol{W}}_2} = {\boldsymbol{W}}_2^{(m)}$ ，求解问题式(25)，得到
　　

${{\boldsymbol{E}}^{(m)}}$ 与

${\xi ^{(m)}}$ .

　(7)利用公式

${\boldsymbol{V}} = {{\boldsymbol{E}} \mathord{\left/ {\vphantom {{\boldsymbol{E}} \xi }} \right. } \xi }$ ，得到

${{\boldsymbol{V}}^{(m)}}$ ，再对

${{\boldsymbol{V}}^{(m)}}$ 进行特征值分解
　　得到特征向量

${{\boldsymbol{v}}^{(m)}}$ ，由

${{\boldsymbol{v}}^{(m)}}$ 得到对角化矩阵

${{\boldsymbol{\varPhi}} ^{(m)} }$ .

　(8)until

${ {\left( {R_{\text{S} }^{(m)} - R_{\text{S} }^{(m - 1)} } \right)}/ {R_{\text{S} }^{(m)} } } \le \zeta$ .

　(9)对

${\boldsymbol{W}}_1^{(m)}$ 、

${\boldsymbol{W}}_2^{(m)}$ 进行特征值分解可得

${{\boldsymbol{w}}_1}^{(m)}$ ,

${{\boldsymbol{w}}_2}^{(m)}$ .

　(10)输出

${\boldsymbol{w}}_{\text{1}}^{{\text{opt}}} = {\boldsymbol{w}}_1^{(m)}$ ，

${\boldsymbol{w}}_2^{{\text{opt}}} = {\boldsymbol{w}}_2^{(m)}$ ，

${{\boldsymbol{\varPhi}} ^{ {\text{opt} } } } = {{\boldsymbol{\varPhi}} ^{(m)} }$ .

下载: 导出CSV

参考文献(18)

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不准确CSI下智能反射表面辅助的多用户系统物理层安全方案设计

doi: 10.11999/JEIT220405

作者简介:
雷维嘉：男，1969年生，博士，教授，主要研究方向为无线通信和移动通信技术

翟泽旭：男，1998年生，硕士生，研究方向为智能反射面和物理层安全通信技术

通讯作者:
翟泽旭　982876720@qq.com

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Design of Physical Layer Security Scheme for Intelligent Reflecting Surface Assisted Multi-User System with Imperfect CSI

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留言板

不准确CSI下智能反射表面辅助的多用户系统物理层安全方案设计

doi: 10.11999/JEIT220405

作者简介: 雷维嘉：男，1969年生，博士，教授，主要研究方向为无线通信和移动通信技术 翟泽旭：男，1998年生，硕士生，研究方向为智能反射面和物理层安全通信技术

通讯作者: 翟泽旭 982876720@qq.com

计量

出版历程

Design of Physical Layer Security Scheme for Intelligent Reflecting Surface Assisted Multi-User System with Imperfect CSI

计量

出版历程

目录

作者简介:
雷维嘉：男，1969年生，博士，教授，主要研究方向为无线通信和移动通信技术

翟泽旭：男，1998年生，硕士生，研究方向为智能反射面和物理层安全通信技术

通讯作者:
翟泽旭　982876720@qq.com