本論文共分二部份。第一部份對諧振器耦合帶通濾波器設計流程之完整介紹，包括基本合成理論與電磁模擬方法。第二部份利用上述的方法將各種結構帶通濾波器實現於有機基板上，驗証了使用諧振器耦合的方式設計濾波器可以解決元件非理想的寄生效應問題，並能以較高的設計自由度達最佳化的設計。論文中提出了三階直接耦合螺旋狀諧振器的帶通濾波器設計，具有縮小化和較寬頻的旁帶抑制特性。另外也將具有一對傳輸零點之四階交叉耦合濾波器實現於多層基板結構中，比起單層基板結構能達50%的面積縮減。所有設計例在實作與模擬上都有良好的吻合度。

This thesis is mainly divided into two parts. The first part discusses in detail design flow of the coupled-resonator bandpass filters, including basic theory of synthesis and the procedure of electromagnetic (EM) simulation. In the second part, by using the above-mentioned design flow, different structure filters have been implemented on organic substrates. The coupled-resonator BPF designs are verified to overcome the elements’ parasitic effects, and thus can be optimized with high degree of freedom. In practice, a 3rd-order bandpass filter by coupling three spiral resonators has been proposed and implemented, having miniature and wide stopband characteristics. Finally, a two-layer 4th-order cross-couple bandpass filter with a pair of transmission zeros has been also proposed and implemented, achieving a significant size reduction of 50% compared with the single-layer design. The simulation and measurement results have good agreement for all design cases in this thesis.

第一章 緒論 1
1.1 研究動機 1
1.2 文獻探討 1
1.3 有機基板介紹 2
1.4 章節介紹 4
第二章 濾波器合成方法與損耗分析 6
2.1 簡介 6
2.2 Chebyshev濾波器 6
2.2.1濾波器響應及合成方式 6
2.2.2濾波器損耗分析 8
2.3 準橢圓(quasi-elliptic)濾波器 14
2.3.1 濾波器響應及合成方式 14
2.3.2 準橢圓濾波器特性分析 16
第三章 耦合諧振器濾波器電路原理 19
3.1 帶通濾波器設計參數 19
3.1.1 阻抗或導納轉換器設計參數 19
3.1.2 耦合係數及外部品質因子設計參數 24
3.2 諧振器耦合結構設計方法 27
3.2.1 諧振器耦合基本理論 27
3.2.2 耦合係數萃取方法 34
3.2.3 影響耦合係數之參數 35
3.3 饋入電路設計方法 37
3.3.1 常用之輸出輸入饋入結構 37
3.3.2 外部品質因子萃取方法 38
3.4 二組不同設計參數之特性比較 42
第四章 耦合諧振器濾波器設計與實現 44
4.1 不同合成方式濾波器之設計實現與比較 44
4.1.1 電容性末端耦合傳輸線濾波器 44
4.1.2 諧振器耦合帶通濾波器 56
4.2 直接耦合諧振器帶通濾波器 59
4.2.1 耦合諧振器帶通濾波器設計流程 59
4.2.2 髮夾式諧振器耦合帶通濾波器設計 60
4.2.3 方型開迴路式諧振器耦合帶通濾波器設計 63
4.2.4 螺旋式諧振器耦合帶通濾波器設計 65
4.3 交叉耦合諧振器帶通濾波器 71
4.3.1 準橢圓函數濾波器實現方法 71
4.3.2 單層交叉耦合濾波器設計與實現 72
4.3.3 雙層交叉耦合濾波器設計與實現 78
第五章 結論 84
參考文獻 85

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