基于到达角误差约束的稳健宽带波束合成算法

A Robust Broadband Beamforming Algorithm Under the Constraint of DOA Error

针对阵列天线存在系统误差的情况，在Frost结构的基础上提出了一种改进的稳健宽带波束合成算法。该算法以信号到达角（DOA）误差为约束条件合成期望信号，并把滤波器优化设计转化为凸优化问题，使用内点迭代法有效解决，进一步使得期望的信号响应具有一定的波动性，从而使得更多的自由度应用在干扰和噪声的抑制上，达到优化加权制的目的。仿真结果表明，当系统存在一定的DOA误差、幅相误差和位置误差时，所提出的宽带波束合成算法获得的信干噪比（SINR）比worst—case约束算法提高约1～3dB。

In view of the system errors of array antenna, a modified robust broadband algorithm is designed based on the Frost structure. The basic idea of the algorithm is that one desired signal is composed under the constraint of direction of arrival（DOA） error, and the optimization of the filters is transformed into a convex optimization problem, which can be effectively solved by interior point iterative methods. Then the response of desired signal is made to have some ripple, so more degree of freedom is used to suppress the noise and interference to optimize the coefficient of the filters. Simulation results show that the proposed broadband algorithm improves signal to interference noise ratio（SINR） 1 - 3 dB than the worst-case algorithm.