广义切比雪夫滤波器耦合矩阵的优化提取

Optimization method for extracting coupling matrix of generalized chebyshev filter

为了提取广义切比雪夫滤波器的耦合矩阵,通过采用单纯形算法和梯度法相结合,先用单纯形算法进行初步搜索,成功则结束。否则将结果值作为梯度法初值,然后利用梯度法进行二次搜索,从而提取出耦合矩阵中各个元素值。最后,对于给定的滤波器拓扑结构,任意设置有限远处的传输零点位置,运用混合方法编写出的程序提取出耦合矩阵。这种混合算法未增加算法难度而提高了效能。三个耦合矩阵提取实例证明了这种混合方法的有效性。

To extract the coupling matrix of generalized chebyshev filter, a hybrid technology of simplex method and analytic gradients method is presented in this paper. Firstly, the simplex method is used to search elements of coupling matrix roughly, then, the search results are taken as the initial values of analytic gradients method for extracting the elements of coupling matrix. Finally, for given topology of filter, the coupling matrix with arbitrary finite transmission zeros is extracted. Three examples of extraction of coupling matrix show the validity of hybrid methods.