基于高斯-勒让德积分的鲁棒波束形成算法

针对矩阵重构类波束形成算法在协方差矩阵重构过程中计算复杂度较高的问题, 提出一种基于高斯-勒让德积分重构协方差矩阵的鲁棒波束形成算法。该方法首先根据信号导向矢量之间的正交性, 利用高斯-勒让德积分构建干扰信号空间; 然后将快拍数据投影到干扰信号空间, 剔除期望信号, 完成干扰噪声协方差矩阵重构; 最后将准阵列权矢量投影到信号空间, 修正导向矢量失配。仿真结果表明本文方法在视向误差、导向矢量随机误差条件下具有较好的鲁棒性, 且有效地降低了计算复杂度, 验证了算法的有效性。

Robust beamforming algorithm based on Gauss-Legendre integral

Aiming at the high computational complexity existing in the covariance matrix reconstruction for the matrix reconstruction beamfoming algorithm, a robust beamforming algorithm based on Gauss-Legendre integral is proposed. Firstly, this method is based on the orthogonality among signal steering vectors and Gauss-Legendre integral to construct the interference space; Secondly, the snapshot data is projected into interference space to eliminate desired signal, and the interference-plus-noise covariance matrix reconstruction is finished; Finally, the mismatch of steering vector is corrected by projecting the quasi-array weight vector into signal space. Simulation results show that this method having good robustness under the condition of look direction errors or signal vector random error, which demonstrate the effectiveness of algorithm and reduce the computational complexity effectively.