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为解决在空域预滤波阶段抑制强噪声的问题,提出了零点约束矩阵滤波设计方法,并给出了解的表达式。通过设计凸规划问题,在严格约束阻带响应等于零的情况下,使通带误差最小。将凸规划问题转换为线性约束二阶最优化问题,构造Lagrange函数并得到最优解,重排后得出滤波矩阵。仿真可知,本方法可设计出强干扰离散分布或处于某扇面的预滤波器,可用于解决常规波束形成算法受强干扰影响方位估计性能的问题。
In order to solve the problem of suppressing strong noise in the pre-filtering stage of airspace, a zero-constraint matrix filter design method is proposed and the expression of the solution is given. By designing the convex programming problem, the passband error is minimized when the stopband response is strictly constrained to zero. The convex programming problem is transformed into the linear constrained second-order optimization problem, the Lagrange function is constructed and the optimal solution is obtained, and the filtering matrix is obtained after rearrangement. The simulation shows that the proposed method can design a pre-filter with strong interference discretely distributed or in a fan-shaped area and can be used to solve the problem of the azimuth estimation performance affected by strong interference in the conventional beamforming algorithm.