期望主瓣响应下任意阵方向图综合方法

为实现任意阵列天线的方向图综合,特别是考虑到不同空间指向对阵列方向图的影响,提出自适应原理与凸优化理论相结合的方向图综合法.该方法首先利用自适应原理综合法得到所需阵列方向图的旁瓣特性;而后,选择零度角的方向图主瓣作为期望主瓣;最后,在该期望主瓣响应下,将阵列方向图综合问题转化为二阶锥规划问题.采用凸优化循环迭代算法,完成对非凸优化问题的求解,从而保证方向图在满足期望主瓣响应的同时,使旁瓣特性与自适应方向图综合方法得到的结果最接近.理论分析与仿真结果表明,综合后阵列方向图在不同空间指向上具有与期望主瓣一致的主瓣特性,且其旁瓣也能够很好地保持对动态干扰的抑制特性.

Pattern synthesis method for arbitrary arrayswith desired mainloble response

A pattern synthesis method based on adaptive array theory and convex optimization principle was proposed for arbitrary arrays, especially considering the influence of different orientation on array pattern. Firstly, the array pattern with special sideloble shape is obtained by adaptive array theory method; and then, the mainloble pointing to 0° is taken as reference to determine the pattern mainloble with variant steering angle. Finally, the optimal array pattern synthesis with desired mainloble response is converted to a second-order cone programming problem. The resulting optimization problem is nonconvex and is implemented via iterative algorithms of convex optimization, which can be solved using the second-order cone programming method at each iteration. Taking the method developed can obtain satisfied mainlobe response and less synthesized error in sideloble region. Theoretical analyses and simulation results show that the synthesized pattern has the same mainloble performance as the desired mainlabole in different orientation, and also the sideloble can maintain the shape to suppress the dynamic interference.