无须模板的阵列天线方向图综合设计方法  

Design Method of Array Antenna Beampattern Synthesis without Mask

作　　者：景阳 范旭慧 梁军利 Jing Yang;Fan Xuhui;Liang Junli(School of Electronic and Information,Northwestern Polytechnical University,Xi'an 710072,China)

机构地区：[1]西北工业大学电子信息学院

出　　处：《航空科学技术》2019年第6期74-80,共7页Aeronautical Science & Technology

基　　金：航空科学基金(20172053017)~~

摘　　要：阵列天线方向图综合通常须选择适当的方向图模板。然而,目前还没有方向图模板选择方案的研究,因此无法保证现有模板的合理性。为避免所预设的方向图模板不可行,本文提出以最小化旁瓣最大值与主瓣最小值的比值为准则,构建方向图综合优化设计问题。该问题的不等式约束是非凸且耦合的。采用罚函数法将不等式约束引入目标函数中,然后设计一个光滑函数来逼近并替代目标函数中不可微部分,从而得到原问题的可微逼近问题,最后使用拉格朗日神经网络法求解逼近问题进而得到原问题的近似解。仿真试验验证了本文所提方法的有效性。Generally,array antenna pattern synthesis needs to select an appropriate pattern mask.However,the rationality of the preset mask cannot be guaranteed owing to the fact that there is no research on pattern mask selection scheme.To avoid the impracticability of the preset mask,this paper constructed a pattern synthesis optimization problem with the criterion of minimizing the ratio of the maximum sidelobe level to the minimum mainlobe level.The inequality constraints of the problem are nonconvex and coupled.To deal with this problem,we used the penalty function method to add inequality constraints into the objective function,and designed a smooth function to approximate and substitute the nondifferentiable part of the objective function,then obtained a differentiable approximation problem.Finally,the approximate solution to the original problem is obtained by using Lagrange programming neural network method to solve the approximate problem.The effectiveness of the proposed approach is demonstrated via numerical examples.

关 键 词：方向图综合 不可微目标函数 光滑函数 无须方向图模板 拉格朗日神经网络法 

分 类 号：TN957.3[电子电信—信号与信息处理]