臺灣博碩士論文加值系統

摘 要
本論文主要之目的為利用準橢圓濾波器的合成方式，在有限頻率的範圍內產生一對零點，以來設計出窄頻高選擇性的帶通濾波器。在其中我們也推導出微小化共振器之設計方程式，並且利用共振器彼此之間的適當排列，來產生交叉耦合的特性，如此一來，便可實現出該對零點。
本論文中，將討論耦合係數、外部品質因數 與共振器之間的關係，並且以數值範例來說明之。另外我們也針對可能使用之兩種信號的饋入方式來進行討論。
最後我們將設計出中心頻率為1.9GHz、頻寬為30MHz之窄頻高選擇性帶通濾波器，並且在其中也討論到如何降低諧波頻率對中心頻率之影響的方法，同時我們也使用了全波分析電磁模擬軟體(IE3D)來進行模擬與討論，並且也將該濾波器電路予以實現和量測，以來驗證軟體模擬結果與量測結果之吻合。

Abstract
In this 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 derive the design equation for the miniaturized hairpin resonators. Then we take advantage of the cross coupling property of appropriately arranged resonators to produce a pair of finite frequency zeros.
The coupling coefficients for resonators and the quality factors for resonators are then discussed with respect to the specifications. Then, two possible signal-feeding structures are discussed as well.
Finally, we implement the miniaturized narrow bandpass filter with the bandwidth of 30MHz at 1.9GHz, and investigate the method to decrease the influence on the center frequency by the harmonic frequencies. In addition, we use the full-wave EM simulator(IE3D) in simulation. By implementing and simulating the full-wave EM simulator, we show that the theoretical and experimental performance are consistent.

目 錄
中文摘要 ……………………………………………………………Ⅰ
英文摘要 ……………………………………………………………Ⅱ
致謝 …………………………………………………………………Ⅲ
圖表索引 ……………………………………………………………Ⅷ
第一章 序論
1.1 研究動機與目的 …………………………………...…………1
1.2 大綱 ………………………………………………………..….2
第二章 濾波器之設計分析與合成
2.1 簡介 …………………………………………………………...3
2.2 濾波器的轉移函數 …………………………………………...3
2.3 Chebyshev的函數響應 ………………………………………..4
2.4 橢圓的函數響應 ….………………………………………….5
2.5 Chebyshev函數之低通標準濾波器 …………………………..6
2.6 帶通濾波器的轉換 …………………………………………...7
2.7 準橢圓濾波器(quasi-elliptic filter)之特性與結構……………….8
2.8 濾波器的設計方法 ………………………………………….11
第三章 微小化髮夾梳型共振器的基本結構
3.1 簡介 …………………………………..……………………...15
3.2 平行耦合線的基本架構 ………………………………..…...15
3.3 開迴路無損失平行耦合線之分析 ………………………….18
3.4 共振器的種類 ……………………………………………….19
3.5 單一共振器之設計 ………………………………………….20
第四章 微小化髮夾梳型共振器的基本耦合結構
4.1 簡介 ………………………………………………………….22
4.2 耦合共振濾波器之迴路方程式 …………………………….22
4.3 耦合共振濾波器之節點方程式 …………………………….26
4.4 一般的耦合矩陣 …………………………………………….30
4.5 三種基本的耦合結構 ……………………………………….31
4.5.1 電場(電容)性耦合 …………………..…………………34
4.5.2 磁場(電感)性耦合 …………………………….……...37
4.5.3 混合性耦合 ……………………………………………..40
4.6 共振器之外部品質因素 ………………………………….43
4.7 信號饋入的兩種方式 ……………………………………….45
第五章 濾波器設計之數值範例
5.1 簡介 ………………………………………………………….48
5.2 共振器之設計 ……………………………………………….48
5.3 共振器耦合係數之設計 …………………………………….50
5.4 影響共振器耦合係數之相關的設計參數 ………………….55
5.5 濾波器外部品質因數之設計 ……………………………….59
第六章 軟體模擬與實驗結果
6.1 簡介 ……………………………………………………….....61
6.2 窄頻微小化帶通濾波器之設計步驟 ……………………….61
6.3 四個共振器之1.9GHz窄頻微小化帶通濾波器 ……………63
6.3.1 抑制第一次諧波對1.9GHz濾波器中心頻率之影響的方法 68
6.3.2 降低1.9GHz濾波器之第一次諧波頻率dB值的方法 …...74
6.4 軟體模擬結果與量測結果之探討與比較 ………………….81
6.5 四個共振器之1.8GHz窄頻微小化帶通濾波器 ……………83
第七章 結論 ………………………………………………………..87
附錄一 證明 和 為耦合結構之兩個自然共振頻率 …………...88
附錄二 二埠對稱網路之分析 ……………………………………..91
參 考 文 獻 ………………………………………………………..94

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