在本論文中，我們將提出一種製作微波濾波器的新方法。此方法係先找出濾波器在z域中的系統方程式，然後搭配由本論文中所推導出來的各式傳輸線的鏈散矩陣，以串接、並接傳輸線的方式來完成濾波器的設計。
　　而在本論文中，我們提出兩種濾波器的架構，一種是串-並接傳輸線的架構，另一種則是串接傳輸線的架構。我們是依據濾波器的零點位置來決定選用何種濾波器的架構以及傳輸線的型式。然後，再利用最佳化的演算法調整電路中之各段傳輸線的阻抗值，以使濾波器的轉移函數可以非常接近系統函數所描述的特性。
　　最後，我們將以本論文中所提出的設計方法實現三種濾波器，包括了柴比雪夫帶通濾器、巴特渥爾滋帶拒濾波器，以及微波積分器。我們將量測各個濾波器的散射參數並與理論值進行比對，以證明本方法的可行性。　　

　　In this thesis, we propose a new design method to implement a microwave filter. In this method, the system function of filter in the Z-domain is found first. Then with the chain-scattering matrices of variety transmission-lines derived form the thesis, the design of filter is finished with the cascading serial and shunt transmission-line.
　　We propose the constructions of two filters, serial-shunted transmission-line construction and serial transmission-line construction. According to the zero location, we determine the construction of filter and the form of transmission-line. After that, the design process is finished by using optimization algorithms to tune the values of characteristic impedances of each transmission-line section so that the transfer function of filter will close the system function.
　　Eventually, we make use of the design method that we proposed to implement three types of filters, Chebyshev band-pass filter, Butterworth band-stop filter, and microwave integrator. We will measure the S-Parameter of all the filters and compare with the theoretical values to demonstrate the validity of the design method.

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