基于凸优化的共形阵二维波束优化算法研究

传统波束优化手段应用于共形阵二维波束优化时,存在旁瓣水平高的问题。文中基于凸优化理论,提出了两种适用于共形阵列二维波束旁瓣优化的二阶锥规划方法。第一种是设定主瓣宽度下的最低旁瓣波束形成,第二种是设定期望旁瓣级的高增益等旁瓣波束形成。仿真结果表明相比于常规波束形成和其它波束优化方法,第一种方法在相同主瓣宽度约束条件下可以得到最低的旁瓣级,第二种方法得到的旁瓣级可以满足设定要求且有更高阵增益。

A research on two-dimentional Beam optimization algorithm of Conformal array based on convex optimization

When conventional beam optimization methods are applied to the two-dimentional beam optimization of conformal array,the sidelobe level is high.Based on convex optimization theory,two methods of second order cone programming for two-dimensional beam sidelobe optimization of conformal array are proposed.The first method is the lowest sidelobebeamforming with the mainlobe width set,the second method is the high gain and equal sidelobebeamforming with desired sidelobe level set.The simulation results show that,compared with conventional beamforming and other beam optimization methods,the first method can get the lowest sidelobe level under the same mainlobe width constraint,and the second method can obtain the sidelobe level that meets the set requirements and has higher array gain.