雷达与通信共享频谱波形优化算法研究  

Research on Waveform Optimization Algorithm of Radar and Communication Spectrum Sharing

作　　者：张令浩 张剑云 周青松 Zhang Linghao;Zhang Jianyun;Zhou Qingsong(Electronic Countermeasure College of National University of Defense Technology,Hefei,Anhui 230037,China)

机构地区：[1]国防科技大学电子对抗学院

出　　处：《信号处理》2019年第11期1861-1870,共10页Journal of Signal Processing

摘　　要：现代电磁频谱环境随着通信、雷达等各领域的发展拥挤问题日益突出。为提高频谱资源利用率,本文从雷达发射端角度出发,通过波形设计手段缓解频谱拥堵问题,寻找满足具有良好自相关特性,频谱特定频带能量约束的波形序列。本文首先以凸优化为工具,建立数学模型,然后在问题模型凸松弛求解之后利用高斯随机化方法寻找优化信号,但是该方法计算复杂度高,因而又提出一种新的、运算次数更少的寻找波形的方法,核心思想是利用已知矩阵某行(或列)元素得到优化信号,同时证明了误差表达式与已知矩阵之间的联系,为解决频谱共享问题提供一种新的思路。仿真实验表明,该算法效果良好,可行集内信干噪比稳定可靠,而且能够明显降低计算操作次数。With the development of communication,radar and other fields,the congestion problem of modern electromagnetic spectrum environment is becoming more and more serious.In order to improve the efficiency of spectrum resources,this paper,from the point of view of radar transmitter,solves the problem of spectrum congestion by means of waveform design,and finds the waveform sequence which satisfies the requirements of good autocorrelation and energy constraint in the specific frequency band of the spectrum.In this paper,the convex optimization is used as a tool to establish the mathematical model,and then the Gauss randomization method is used to find the optimization signal after solving the convex relaxation of the problem model.However,the computational complexity of this method is high,so a new method is proposed.The core idea of finding waveform with fewer operations is to obtain the optimized signal by using a row(or column)element of a known matrix,and prove the relationship between the error expression and the known matrix at the same time.It provides a new way to solve the spectrum sharing problem.Simulation results show that the proposed algorithm has the advantages of good performance,stable and reliable signal to interference plus noise ratio(SINR)in feasible set,and can significantly reduce the number of operations.

关 键 词：频谱共享 信干噪比 波形设计 相似性约束 凸优化 

分 类 号：TN958[电子电信—信号与信息处理]