基于方向图逼近的相控阵天线波束展宽研究  

Research on Phased Array Beam Broadening Based on Pattern Approximation

作　　者：李伟[1] 柯涛[1] LI Wei;KE Tao(No.723 Research Institute,China Shipbuilding Industry Corporation,Yangzhou 225002)

机构地区：[1]中国船舶重工集团公司第七二三研究所,扬州225002

出　　处：《舰船电子工程》2021年第10期93-98,共6页Ship Electronic Engineering

摘　　要：建立了恒模约束下的波束方向图逼近数学模型,构建具有展宽波束宽度的均匀加权理想波束方向图,通过方向图逼近方法获得待优化的波束方向图,通过施加旁瓣约束可获得低旁瓣特性。重构待优化参数,将优化问题转换为恒模约束下的二次规划问题,利用半正定松弛法可以求解该问题,得到仅相位加权的发射展宽波束。数值仿真结果表明,该算法获得的仅相位加权系数能够形成较理想的展宽波束主瓣和较低的旁瓣电平,验证了算法的有效性和可行性。A mathematical model of beam pattern approximation under constant modulus constraint is established,and a uniformly weighted ideal beam pattern with a broadened beam width is constructed.The beam pattern to be optimized is obtained by the pattern approximation method,and low sidelobes can be obtained by applying sidelobe constraint characteristic.The parameters to be optimized are reconfigured,and the optimization problem is transformed into a quadratic programming problem under constant modulus constraint.This problem can be solved by using the semidefinite relaxation method to obtain a phase-weighted broadened transmitting beam.Numerical simulation results indicate that only the phase weighting coefficients obtained by the algorithm can form a more ideal broadened beam main lobe and lower side lobe levels,which verifies the effectiveness and feasibility of algorithm.

关 键 词：波束展宽 恒模约束 方向图逼近 最小二乘算法 半正定松弛法 

分 类 号：TN957[电子电信—信号与信息处理]