濾波器合成理論大致可區分為兩類，一類為藉由共振器及倒轉器設計濾波器之耦合係數，而由於實際上因受限於倒轉器為非理想，因此大多只適用於窄頻設計，另一類則為完全藉由傳輸線特性來設計濾波器，本論文主要探討第二類設計方式。本論文研究的是指插式濾波器，探討此濾波器合成理論中，全極點響應受電路組成順序差異所產生之影響，及此原型電路於指插式濾波器之運用，並將其設計公式與後續相關應用進行自動化及部分結果列表。最後，本論文利用前述理論與演算法設計濾波器作為範例，輔以電磁模擬，對設計流程及電路特性進行了驗證。

The synthesis theories for filters can generally be divided into two categories. The first involves using resonators and inverters to design the coupling coefficients of filters. However, in actual situations, because the inverters are not ideal, they are mainly used for narrow bandwidth designs. The second involves designing filters by fully using the characteristics of transmission lines, which is examined in this study. This study focused on interdigital filters. The difference of all-pole responses related to circuit composition sequences is investigated. Also the realizations of the prototype circuits are studied. The design equations and subsequent applications are automated, and the results are compiled as Tables. These results have been successfully verified by electromagnetic simulations.

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[1.2] M. C. Horton and R. J. Wenzel, “General Theory and Design of Optimum Quarter-Wave TEM filters,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 3, pp. 316-327, May 1965.

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[2.1] M. C. Horton and R. J. Wenzel, “General Theory and Design of Optimum Quarter-Wave TEM filters,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 3, pp. 316-327, May 1965.

[2.2] J. A. G. Malherbe, “Microwave Transmission Line Filters,” Artech House, United States of America, pp. 9-14, June 1979.

[2.3] R. J. Wenzel, “Exact Theory of Interdigital Band-Pass Filters and Related Coupled Structures,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 5, pp. 559-575, September 1965.

[2.4] P. R. Clement, “The Chebyshev approximation method,” Quart. appl. Math., vol. 11, pp. 167-183, July 1953.

[2.5] J. T. Bolljahn and G. L. Matthaei, “A study of the phase and filter properties of arrays of parallel conductors between ground planes,” Proc. IRE, vol. 50, pp. 299-311, March 1962.

[2.6] R. J. Wenzel, “Theoretical and Practical Applications of Capacitance Matrix Transformations to TEM Network Design,” IEEE Trans. Microwave Theory Tech., vol. 14, no. 12, pp. 635-647, December 1966.

[3.1] M. C. Horton and R. J. Wenzel, “General Theory and Design of Optimum Quarter-Wave TEM filters,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 3, pp. 316-327, May 1965.

[3.2] M. C. Horton, “Synthesis of Multi-Section Networks Using the W-plane,” G-MTT 1970 International Microwave Symposium, pp. 76-84, May 1970.

[3.3] R. J. Wenzel, “Exact Theory of Interdigital Band-Pass Filters and Related Coupled Structures,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 5, pp. 559-575, September 1965.

[5.1] M. C. Horton and R. J. Wenzel, “General Theory and Design of Optimum Quarter-Wave TEM filters,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 3, pp. 316-327, May 1965.
[5.2] P. R. Clement, “The Chebyshev approximation method,” Quart. appl. Math., vol. 11, pp. 167-183, July 1953.

[5.3] R. J. Wenzel, “Exact Theory of Interdigital Band-Pass Filters and Related Coupled Structures,” IEEE Trans. Microwave Theory Tech., vol. 13, no. 5, pp. 559-575, September 1965.