基于二次规划的线性天线阵列和方向图及差方向图综合算法

Sum and difference pattern synthesis of linear antenna arrays based on quadratic programming

天线阵列方向图综合在雷达系统中具有重要应用.提出了一种快速的基于二次规划的线性天线阵列和方向图及差方向图综合算法.考虑阵列激励的对称性,建立相应的凸二次规划问题,最大化阵列方向性系数.线性约束条件可以控制波束指向、副瓣电平和零陷产生等.这种算法具有全局最优解,仿真结果表明:该算法可以用于多种和、差方向图的综合问题.

Antenna array pattern synthesis is very important in radar systems. A fast synthesis algo- rithm based on quadratic programming is proposed for sum and difference patterns of linear antenna ar- rays. Considering the symmetry of the array excitations, we are able to formulate a convex quadratic program to maximize the directivity of the antenna array. The linear constraints can control the beam direction, sidelobe levels, nulls, etc. The proposed algorithm guarantees a globally optimal solution. Simulation results demonstrate that the proposed algorithm can be applied to various synthesis of sum and difference patterns.