本論文首先提出利用兩個反射零點頻率及rolloff速率參數合成出Π原型與T原型兩階耦合諧振器形式之帶通濾波器，在應用上依元件製程特性歸屬，Π原型架構之帶通濾波器較適合實現在低溫共燒陶瓷多層基板，而T原型架構之帶通濾波器較適合實現在有機多層基板。本論文另一主題為探討採用Π原型架構之低溫共燒陶瓷帶通濾波器產生額外傳輸零點的方法，發現可藉由元件間之互感效應產生低頻傳輸零點，用以加強往低頻段之rolloff速率；亦提出利用回授元件合成多個傳輸零點的方法，使多個位於禁帶之特定頻率能達到加強衰減度之要求。本論文實現包含應用於2.4 GHz ISM頻段及3.5 GHz WiMAX頻段之低溫共燒陶瓷帶通濾波器，其通帶植入損耗及折返損耗皆能分別小於2 dB及大於10 dB，而且皆具有傳輸零點來加禁帶衰減能力。此外，尺寸能微小化亦是重要設計訴求，所完成2.45 GHz WLAN及3.5 GHz WiMAX低溫共燒陶瓷帶通濾波器分別能滿足1608及2520等標準尺寸，亦是目前在類似應用之文獻報導作品及商業化產品中最小者。

The first part of this thesis proposes a method to synthesize the T- and Π-prototype of band-pass filters using the two reflection zeros and the rolloff rate. According to the characteristics of passive components embedded in different substrates, Π-prototype band-pass filter is suitable for implementation on LTCC substrate, while T-prototype band-pass filter is suitable for implementation on organic substrate. The second part of this thesis employs the Π-prototype to design the LTCC band-pass filters. It has been found that mutual coupling and feedback elements can be used to create the multiple transmission zeros. With these synthesized transmission zeros, the stopband attenuation can be enhanced at several specific frequencies. For demonstration, this thesis implements the LTCC band-pass filters in 2.4 GHz ISM band and 3.5 GHz WiMAX band. The measured results show that insertion loss and return loss in the passband for these LTCC filters is less than 2 dB and more than 10 dB, respectively. In addition, these filters have the additional transmission zeros for enhancing the stopband attenuation. Moreover, miniaturization is also a key issue in implementing these LTCC filters. The 2.4 GHz and 3.5 GHz LTCC filter can meet the standard 1608 size and 2520 size, respectively, which are the smallest compared to the other LTCC filters reported for similar applications in the current literature and commercial media.

目錄 .............I
圖目錄 ..........II
表目錄 ..........IV
第一章 緒論 1
第二章 二階耦合諧振器形式之帶通濾波器原型合成方法 5
2.1 諧振器與品質因子探討 5
2.2 諧振器與帶通濾波器原型 10
2.2.1 二階耦合諧振器種類 10
2.2.2 Π原型帶通濾波器 12
2.2.3 T原型帶通濾波器 21
2.3 濾波器元件參數特性探討 29
第三章 額外傳輸零點合成方法 32
3.1 傳輸零點之應用與設計 32
3.2 具有額外三個傳輸零點之帶通濾波器架構與合成方法 34
3.2.1 電路架構之微波網路分析 34
3.2.2 電路架構之元件合成方法 39
3.2.3 傳輸零點位置之討論 42
第四章 以低溫共燒陶瓷實現微小化帶通濾波器 46
4.1 帶通濾波器設計與實現流程 46
4.1.1 實現帶通濾波器之設計步驟 46
4.1.2 製程參數設定與元件佈局方法 49
4.2電容性耦合Π原型之2.45 GHz帶通濾波器設計與實現 51
4.2.1 濾波器規格擬定與元件合成 52
4.2.2 被動元件之佈局與全波模擬 53
4.2.3 實作結果 59
4.3 具額外三個傳輸零點之3.5 GHz帶通濾波器設計與實現 61
4.3.1 濾波器規格擬定與元件合成 62
4.3.2 被動元件之佈局與全波模擬 65
4.3.3 實作結果 70
4.4 討論與比較 72
第五章 結論 74
參考文獻 75

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