Coupling matrix is an important means for design and analysis to Chebyshev filters, which is also an effective method for improving the efficiency and precision of the microwave filters tuning. In this thesis, an improved coupling matrix extraction method was developed based on the combination of Jacobi Method and the optimization method. The method gets the initial matrix from the solutions of the Jacobian Method. Then the matrix is utilized as the initial value of the iterative optimization to obtain the accurate coupling matrix. This method has the advantages of both methods. To obtain the initial coupling matrix, experiments on coupling matrix extracting for coaxial-cavity tunable filter is designed. S parameters are measured in the experiments. Then zeros and poles are measured. Proved by engineering experiments and analysis, the method is feasible and rational.
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