简化目标函数的稀布频控阵主瓣优化方法  

A Method of Mainlobe Optimization for Sparse Frequency Diverse Array with Simplified Objective Function

作　　者：谭政宽 谭铭 张云慧 刘康 TAN Zhengkuan;TAN Ming;ZHANG Yunhui;LIU Kang(College of Electronic Science and Technology,National University of Defense Technology,Changsha Hunan 410073,China;College of Information and Communication,National University of Defense Technology,Wuhan Hubei 430010,China)

机构地区：[1]国防科技大学电子科学学院,湖南长沙410073 [2]国防科技大学信息通信学院,湖北武汉430010

出　　处：《现代雷达》2025年第1期57-63,共7页Modern Radar

基　　金：国家重点研发计划(2022YFB3902400);国家自然科学基金资助项目(62201580)。

摘　　要：传统频控阵(FDA)能够形成距离-角度二维波束,但存在距离-角度耦合问题,利用非线性频偏和非均匀布阵能够实现去耦合并形成优化的距离-角度维点状波束,但以往的优化方案存在着运算复杂度较高的问题。文中提出了适用于非均匀排布频控阵(稀布频控阵)波束的数学模型,通过对波束主瓣的近似分析,提出了简化的目标函数。在采用最佳频偏和满足最小阵元间距的约束下,依据简化目标函数采用遗传算法对阵元间距进行优化,优化所得到的稀布频控阵波束主瓣相较于均匀布阵在距离维和角度维均更窄。仿真结果验证了提出方法的可行性和高效性。Frequency diverse array(FDA)can produce a range-angle beampattern,but it has a range-angle coupling problem,which can usually be solved by designing nonlinear frequency increments or nonuniform spacing as well as producing a dot-shaped beampattern in the range-angle dimension.However,the conventional method of optimization is high in complexity.In this paper,we modify a mathematical model of beampattern for nonuniform FDA(sparse FDA).Based on the model,an approximately mathematical analysis of the mainlobe is given and a simplified objective function is proposed.After certain the optimal frequency increments and the constraints of the minimum element spacing,the genetic algorithm(GA)with the simplified objective function has been utilized to optimize the spacing of elements.The optimized sparse FDA has a thinner mainlobe both in the range and angle profile compared with the uniform FDA.Simulations verify the feasibility and efficiency of the proposed method.

关 键 词：频控阵 主瓣 简化目标函数 遗传算法 非均匀布阵 

分 类 号：TN958[电子电信—信号与信息处理]