基于凸优化的稀疏阵列方向调制信号综合算法研究

施孝盼; 洪涛

doi:10.11999/JEIT170391

基于凸优化的稀疏阵列方向调制信号综合算法研究

doi: 10.11999/JEIT170391

施孝盼¹,
洪涛¹

基金项目:

国家自然科学基金(61302102, 61271232)，江苏省属高校自然科学研究面上项目(13KJB510023)，国家博士后自然科学基金(2013M531390)

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出版历程
- 收稿日期: 2017-04-27
- 修回日期: 2017-07-25
- 刊出日期: 2017-11-19

Synthesis of a Sparse Array for Directional Modulation Signal Based on Convex Optimization

SHI Xiaopan¹,
HONG Tao¹

Funds:

The National Natural Science Foundation of China (61302102, 61271232), The Scientific Research Foundation of the Higher Education Institutions of Jiangsu Province, China (13KJB510023), The National Science Foundation for Post- doctoral Scientists of China (2013M531390)

摘要

摘要: 方向调制技术利用多天线发射阵列的空间调制能力在天线端综合出具有方向特性的数字调制信号是近年来物理层安全通信领域研究的热点之一。该文提出一种基于凸优化的稀疏阵列方向调制信号综合算法。首先算法建立以阵列稀疏为目标函数以及方向调制信号不同性能要求为约束的非凸优化问题；然后针对这个非凸问题，给出了两种不同的求解方案：一种基于迭代加权l1算法，但稀疏算法得到的结果可能存在阵元间距小于半个波长的情况；另一种基于混合整数规划，确保稀疏算法得到的阵元间距至少为半个波长；最后在混合整数规划算法的基础上建立以方向调制信号功率利用率为目标的优化问题，优化稀疏阵列方向调制信号发射机的功率利用率。仿真结果表明，相比于与现有的基于均匀等间距直线阵列的方向调制信号综合算法，所提算法在方向调制信号的安全性能、方向调制信号发射机的功率利用率以及阵列的稀疏程度之间具有良好的设计灵活度。
- 无线通信 /
- 物理层安全 /
- 方向调制 /
- 凸优化 /
- 稀疏阵列
Abstract: The design of Directional Modulation (DM) signal by a phased array is one of the important topics in the field of physical layer security communication. In this paper, a synthesis method for synthesis of a sparse array is proposed based on convex optimization. Firstly, a nonconvex optimization problem is formulated associated with some basic metrics of DM signal. Secondly, two different solutions are presented: one is based on Iterative Reweighted l1-norm (IRL) resulting in a superdirective array with the interelement spacing less than half-wavelength; the other is based on Mixed Integer Programming (MIP) resulting in a nonsuperdirective array with the interelement spacing more than half-wavelength. Finally, the power efficiency of DM transmitter is optimized based on MIP algorithm. Simulation results show that the proposed synthesis method provides greater flexibility of controlling the security performance, power efficiency and sparse level, while at the same time the number of excitations is less than the uniformly spaced linear array in the benchmark problems.
- Wireless communication /
- Physical layer security /
- Directional Modulation (DM) /
- Convex optimization /
- Sparse array

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参考文献(25)

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