基于凸优化的宽带阵列方向图综合算法

针对宽带任意阵列天线的方向图综合问题，提出了基于凸优化及其求解软件的方向
图综合方法。其中针对宽带最低旁瓣方向图综合问题的特殊性，利用了凸优化的优良数值求解特性，以及最新的凸优化求解软件cvx 对任意阵列天线的宽带最低旁瓣方向图综合算法进行了有效的建模和求解，获得了满足给定要求的宽带综合方向图。并通过详细的仿真分析验证了所提方法的正确性和有效性，而且优于当前提出的迭代算法。
关键词：宽带阵列方向图综合；凸优化；cvx 软件；最低旁瓣方向图
Abstract — For the problem of the broadband pattern synthesis for arbitrary arrays, the pattern synthesis method based on the convex optimization and its solving software are proposed. Therein, for the particularity of the broadband lowest sidelobe level pattern synthesis, and combining the excellent numerical solving methods for convex optimization, and the nearest convex optimization solving software cvx, the broadband lowest sidelobe level pattern synthesis algorithm for arbitrary array is modeled and solved, and the specified broadband synthesis pattern is obtained. At last, the correctness and effectiveness is attested by the particular simulations, and it is indicated that the proposed algorithm is better than other iteration algorithms.
Key words : Broadband array antenna pattern synthesis, convex optimization, cvx software, lowest sidelobe level pattern