零点约束矩阵滤波设计

基金项目:

海军大连舰艇学院科研发展基金资助

详细信息

Design of matrix filter with prescribed null

College of Communication and Information Technology, Dalian Navy Academy Dalian 116018

摘要: 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。

Abstract: To solve the problem of strong noise suppression in the period of spatial pre-filtering,design of the matrix filter with prescribed null is proposed and expression of the solution is presented.Through the convex programming,the pass-band response error is minimized on the condition that the stop-band response is strictly forced to zero.The convex programming is converted to a second-order optimization problem with a linear constraint and the optimal solution is obtained by constructing a Lagrange function.Finally,the filtering matrix is achieved by rearranging the solution.Result of the simulation has proved that the designed prefilter can suppress the strong interference with discrete distribution or in a sector and performance of the DOA estimation in conventional beamforming (CBF) can be improved in presence of strong interference by using this method.