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提取耦合系数矩阵是提高滤波器调谐效率的关键。该文提出了一种基于Jacobi矩阵逆特征值理论的耦合系数矩阵提取方法,它通过测量滤波器单端口反射系数的相位得出矩阵的特征值,进而通过求解Jacobi矩阵的逆特征值问题由特征值来提取出耦合系数矩阵。该方法只用到了矩阵的迭代运算,克服了采用优化手段的其他提取方法中可能出现收敛慢或局部收敛而得不到准确解的缺陷,因而其提取精度是很高的。6阶高温超导滤波器的调谐实例验证了该方法的可行性。
Extracting the coupling coefficient matrix is the key to improve the efficiency of filter tuning. In this paper, a new coupling coefficient matrix extraction method based on inverse eigenvalue theory of Jacobi matrix is proposed, which obtains the eigenvalues of the matrix by measuring the phase of the single-port filter reflection coefficient. Then by solving the inverse eigenvalue problem of Jacobi matrix, Value to extract the coupling coefficient matrix. This method only uses the matrix iterative computation to overcome the shortcomings of other extraction methods which use optimization method may converge slowly or converge locally without accurate solution, so the extraction accuracy is very high. The tuning example of the sixth-order HTS filter verifies the feasibility of this method.