Abstract: A robust broadband focused beam-forming algorithm based on combining focus transform and second-order cone programming is proposed. Firstly, the broadband signal is divided into multiple narrowband signals. Secondly, every narrowband signal is focused on the determined optimal focusing frequency using the optimal focusing matrix, in other words, the broadband problem will be converted to a narrowband problem. Finally, the second-order cone programming will be used in achieving narrowband beam-forming. Simulations demonstrate the effectiveness of this algorithm.

Key words: optimal focusing matrix, optimal focusing frequency, second-order cone, broadband beam-forming

摘要： 将聚焦变换的思想与二阶锥规划方法相结合，提出了一种稳健的宽带聚焦波束形成算法。该算法首先将宽带信号划为多个窄带信号，再通过最佳聚焦矩阵，聚焦到最佳聚焦频率上，将宽带问题转换为窄带问题，最后利用二阶锥规划的方法实现窄带波束形成。计算机仿真验证了该算法的有效性。

关键词: 最佳聚焦矩阵, 最佳聚焦频率, 二阶锥规划, 宽带波束形成