在本論文中，主要以Sierpinski Gasket碎形結構天線來研究其操作頻率比例之調控性，並以現今廣泛應用於表面聲波元件的壓電材料作為基板設計；最後，藉由碎形結構及壓電基板材料以達到天線縮小化之目的，使得天線在無線通訊產品的應用上可更加廣泛被利用。
首先是以Sierpinski Gasket碎形天線設計在FR4基板上，並提出一種不對稱的Sierpinski Gasket碎形結構，再藉由選取適當的不連續點，設計出可調式頻率比例且適用於IEEE 802.11b/g/a無線通訊頻帶的三頻天線。
接著將Sierpinski Gasket碎形結構初步設計在壓電基板材料上，並對模擬特性與實作量測結果做比較，用以改善製程上的非理想因素；進而設計共平面波導、耦合饋入及導電銀膠接地的方式，將half-Sierpinski Gasket碎形結構做高階疊代之設計，與現有產品的設計相比，本論文提出之天線，縮小尺寸至5x5mm^2，並且易與表面聲波元件做整合，可用於GPS頻帶與IEEE 802.11b/g無線通訊頻帶的雙頻縮小化碎形天線。

In this thesis, the study focuses on the tunable frequency ratio of Sierpinski Gasket fractal antennas and we use the SAW substrate of piezoelectric material. By using the fractal structure and the substrate of piezoelectric material, the goal of the miniaturized antenna is achieved. The proposed antenna can be widely used in wireless communication products.
Firstly, we design the Sierpinski Gasket fractal antenna on the FR4 substrate. The asymmetric geometry of Sierpinski Gasket fractal structure is proposed and we choose the proper discontinuity locations to design the three-band and tunable antenna for IEEE 802.11b/g/a wireless communication systems.
The preliminary design of the Sierpinski Gasket fractal structure on the piezoelectric substrate allows us to compare simulated and measured results to improve the non-ideal processing factors. Finally, comparing with the existing products, we reduce the size of the miniaturized fractal antenna to 5x5mm^2 on the SAW substrate by coplanar waveguide, coupled-fed, shorting with conductive adhesive and high iteration stage of half-Sierpinski Gasket fractal structure for GPS band and IEEE 802.11b/g applications.

論文審定書 i
誌　謝 ii
摘　要 iii
Abstract iii
目　錄 v
圖　次 vii
表　次 xi
第一章 序論 1
1.1研究背景介紹 1
1.2研究動機 1
1.3研究方法 6
1.4論文大綱 6
第二章 Sierpinski Gasket碎形天線之頻率比分析 8
2.1 Sierpinski Gasket碎形天線簡介 8
2.2調整頻率比之方法 13
2.3 Sierpinski Gasket碎形天線之三頻設計 23
2.4實作與量測探討 26
第三章 Sierpinski Gasket碎形天線於壓電基板上之設計 29
3.1壓電材料概述 29
3.2 Sierpinski Gasket在壓電基板上之特性模擬與設計 34
3.3實作與量測 39
3.4實作之非理想製程因素探討 42
第四章 適用於GPS與WLAN頻帶之縮小化碎形天線 49
4.1共平面波導之饋入設計 49
4.2提升輻射效率之導電銀膠接地設計 51
4.3 Half-Sierpinski Gasket之多階結構縮小化設計 55
4.4 實作與量測結果之探討分析 58
第五章 結論 62
參考文獻 63

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