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本文首先针对窄带,分别设计出通带误差或阻带响应满足设定条件,以及通阻带归一化误差之和最小的最优空域矩阵滤波器。利用Lagrange乘子理论,给出了最优解,以及确定最优Lagrange乘子的方程,显著提高了空域矩阵滤波器的设计效率。通过广义奇异值分解,进一步提高了设计效率。其次,从理论上分析了特定频带空域矩阵滤波器对其他频带阵列流形的影响,并得出宽带空域矩阵滤波器的设计方案。仿真结果表明,本文方法可用于设计通阻带“位置”、“宽度”、“响应”恒定的宽带空域矩阵滤波器。
In this paper, we first design the optimal airspace matrix filter with passband error or stop-band response to meet the set conditions and minimize the passband normalization error with respect to the narrowband. Using Lagrange multiplier theory, the optimal solution and the equation to determine the optimal Lagrange multiplier are given, which greatly improves the design efficiency of the spatial matrix filter. Through the generalized singular value decomposition, to further improve the design efficiency. Secondly, the influence of the specific frequency-domain spatial domain matrix filter on the manifolds of other frequency bands is analyzed theoretically, and the design scheme of wideband spatial domain matrix filter is obtained. The simulation results show that the proposed method can be used to design a constant wideband airspace matrix filter with passband “”, “width ” and “response ”.