摘要
常规波束形成的主瓣宽度随波束指向变化会导致阵列分辨性能下降,针对该问题,建立了无约束下的方向不变恒定束宽波束形成数学模型,以某一指向上的波束主瓣为参考主瓣,使优化后的不同指向的波束主瓣逼近平移后的参考波束主瓣,同时尽量保持波束具有低旁瓣的特性。将无约束优化问题等价为线性约束优化问题,利用拉格朗日乘子法获得优化问题的解析解。数值仿真结果表明,该算法获得的加权系数能够形成较理想的恒定宽度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。
The mainlobe width of conventional beamforming varies with the beam direction,which results in the degradation of the arrary resolution performance.To solve the problem,a unconstrained,steering-invariance constant beamwidth beamforming mathematical model is established in this paper.Taking the mainlobe in a certain direction as reference,this paper makes the optimized beam mainlobe in different directions approach to the translated reference mainlobe with low sidelobe as possible.The unconstrained optimization problem is equivalent to the linear constrained optimization problem,and the Lagrange multiplier method is used to obtain the analytical solution of the optimization problem.Numerical simulation results show that the weighted coefficients obtained by the proposed method can form ideal beam mainlobe with constant width and a low sidelobe level,which verifies the effectiveness and feasibility of the algorithm.
作者
郑文文
陆小凯
完诚
钱乔龙
ZHENG Wen-wen;LU Xiao-kai;WAN Cheng;QIAN Qiao-long(The 723 Institute of CSIC,Yangzhou 225001,China)
出处
《舰船电子对抗》
2021年第2期68-72,共5页
Shipboard Electronic Countermeasure
关键词
方向不变恒定束宽
最小二乘算法
拉格朗日乘子法
steering-invariance constant beamwidth
least square algorithm
Lagrange multiplier method
