在本文中，我們提出由碎形曲線來設計具有兩個傳輸零點的新型帶通濾波
器。藉由碎形理論幫助，可以有效地降低帶通濾波器的尺寸，而所設計的帶通濾
波器可以很容易地使用具有多層結構特性的低溫共燒陶瓷製程實作出來。在相同
介質厚度與耦合係數的條件下，我們與一般常見的方形開迴路帶通濾波器比較，
其結果證明了碎形曲線的確具有縮小化的能力，以中心頻率為2.4GHz 為例，Koch
一階曲線、Minkowski 一階曲線與Minkowski 二階曲線分別可達到36.5%、32%
與51.5%的縮小化目標。最後，模擬與量測的結果均在文中列出。

In this thesis we propose several novel configurations of bandpass filters (BPFs)
with two transmission zeros by using the fractal theory. By means of the fractal
theory, the dimension of the proposed BPFs can be effectively reduced. Furthermore,
the proposed BPFs can be easily fabricated by using multilayer structure based on
low-temperature cofired ceramic (LTCC) technology. Under the condition of the
same dielectric thickness and coupling coefficient, we compared the conventional
square open-loop BPF with the proposed fractal ones. The results show that the
reduction in the dimension of the proposed BPFs is evident. Specifically, the
dimension of the proposed Koch’s, Minkowski_1st, and Minkowski_2nd filters can be
reduced by about 36.5%, 32%, and 51.5%, respectively. Finally, the simulation and
measurement results are reported in this thesis.

致謝....................................................... I
摘要(中文)................................................ III
摘要(英文)................................................ IV
目錄...................................................... V
圖表目錄................................................. VII
第一章 序論 ................................................ 1
1.1 研究背景與動機...................................... 1
1.2 研究目的與方法...................................... 2
第二章 碎形理論............................................ 4
2.1 碎形的緣起.......................................... 4
2.2 碎形維度............................................ 5
2.3 碎形結構在微波上的應用............................. 10
第三章 LTCC 之技術應用.................................... 16
3.1 簡介............................................... 16
3.2 LTCC 之優缺點...................................... 17
3.3 製程技術........................................... 20
3.4 LTCC 元件之設計流程................................ 25
第四章 碎形濾波器之設計原理............................... 29
V
4.1 濾波器的等效電路與耦合原理......................... 29
4.2 使用碎形理論縮小化並應用於IEEE 802.11a 濾波器之設計與
模擬.............................................. 38
4.3 傳輸零點頻率與饋入線位置的探討..................... 53
4.4 使用碎形理論縮小化並應用於IEEE 802.11b、g 濾波器之設計
與模擬............................................ 59
第五章 實作與量測方法...................................... 69
5.1 TRL 校正法......................................... 69
5.2 碎形濾波器之實作與量測............................. 73
5.3 接地效應的探討..................................... 83
第六章 結論............................................... 86
參考文獻.................................................. 87

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