摘要

本文旨於利用準橢圓濾波器的合成方式，在有限頻率範圍內產生一對零點，來設計出窄頻高選擇性的帶通濾波器。其中我們也推導出微小化共振器之設計方程式，並且利用電場耦合諧振器、磁場耦合諧振器及混合耦合諧振器彼此之間的適當排列，來產生交叉耦合的特性，便可實現該對零點。
本文中，將討論耦合共振器的耦合係數及準橢圓函數方法合成濾波器之響應，與諧振器外部品質因素Qe，另外也針對信號饋入位置來設計高品質因素之單一諧振器，依據斜率法公式求得單一諧振器之Qe為120.5，再者藉由單一諧振器耦合合成出極高選擇性之窄頻帶通濾波器其頻寬為30MHz ，Qe為120.5，在1.645GHz及2.272GHz 有傳輸零點，中心頻率為1.9GHz，適合PHS行動通訊系統之應用。
本研究使用全波分析電磁模擬軟體(IE3D)模擬，並且將該濾波器電路予以實作，板材εr為6.15，面積為20mm 25mm，量測、模擬及實驗數據之結果驗證本設計方法之正確，並甚具應用價值。

Abstract

In thesis, we use the Quasi-Elliptic filter synthesis method which produces a pair of zeros at finite frequencies to design highly selective bandpass filters. In addition, we drive the design equation for the miniaturized hairpin resonators. We use electric coupling resonators, magnetic coupling resonators, and mixed coupling resonators which appropriate arrangement. Then we take advantage of the cross coupling property of appropriately arranged resonators to produce a pair of finite frequency zeros.
In this thesis, we discussed the coupling coefficients for resonator, the quasi-elliptic function method synthesis filter response, and resonators quality factors Qe. Then, signal-feeding structures are discussed as well. Then we use single resonator coupling another to synthesis a high selectivity narrow bandpass filter which bandwidth is 30MHz, Qe is 120.5, and have a pair of zeros at 1.645GHz and 2.272GHz
for PHS mobile communication system application.
Finally, we use the full-wave EM simulator (IE3D) in simulation. We implement the miniaturized narrow bandpass filter with substrate εr=6.15, square measure is 20mm 25mm. By implementing and simulating the full-wave EM simulator, we show that the theoretical and experimental performances are consistent; this thesis has extreme application value.

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