臺灣博碩士論文加值系統

本論文提出使用混合微帶線與背地共平面波導之諧振腔製作微小化帶通濾波器。在論文第一部份，將簡介耦合係數法，並利用此方法分析外部品質因數與內部耦合係數，再透過電磁模擬軟體，找出相對應的濾波器諧振腔尺寸，讓整個複雜的濾波器設計流程變得簡單、快速。在論文第二部份，以柴比契夫響應設計梳型、指叉型、折疊型和渦型之帶通濾波器。論文的最後，利用準橢圓濾波器的之合成方式，設計出在有限頻率的範圍內，產生一對傳輸零點高選擇性的帶通濾波器。

This thesis presents the novel miniaturized bandpass filters with combined microstrip-CBCPW (conductor-backed coplanar waveguide) resonator. The filters are designed by coupling coefficient method. Using this method the external quality factors and the internal coupling coefficients can be obtained. Then, utilizing EM simulation software obtains relative resonator dimensions corresponding to previously determined external quality factors and the internal coupling coefficients. The whole filter design procedure is simple and concise. In this thesis, combline, interdigital, folded and spiral bandpass filters with Chebyshev response are designed. Finally, a quasi-elliptic filter synthesis method is used to design highly selective narrow bandpass filters with a pair of finite frequency transmission zeros.

中文摘要…………………………………………………………………………i
英文摘要……………………………………………..……..…………………...ii
誌謝………………………………………………………………………..……iii
目錄……………………………………………….…………….…………...….iv
圖目錄…………………………………………………………...…………..….vi

第一章 簡介…………………………………………………………………….1
第二章 諧振腔介紹…………………………………………………………….3
2.1 混合微帶線與背地共平面波導之諧振腔介紹…………………………3
2.2 諧振腔頻率之求法………………………………………………………5
第三章 濾波器設計參數………………………………………………….....…7
3.1 耦合係數法(Coupling Coefficient Method)……………………………..7
3.1.1 低通原型濾波器…………………………………………………….8
3.1.2 插入J型轉換器………………………………………………………8
3.1.3 低通原型濾波器利用J型轉換器表示………………………………9
3.1.4 低通原型濾波器轉換成帶通濾波器……………………………….9
3.1.5 帶通濾波器利用電納斜率參數表示……………………………...10
3.1.6 帶通濾波器使用耦合係數表示…………………………………...11
3.2 內部耦合係數與外部品質因數之求法………………………………..12
3.2.1 內部耦合係數(Internal Coupling Coefficient)之求法…………….12
3.2.2 外部品質因數(External Quality Factor)之求法…………………...13
3.3 步階阻抗諧振腔(Stepped Impedance Resonator , SIR)………………..16
3.3.1 步階阻抗諧振腔之分析…………………………………………...16
第四章 設計柴比契夫帶通濾波器……………………………………...……22
4.1 指叉型帶通濾波器設計………………………………………………..22
4.1.1 使用混合低阻抗微帶線與背地共平面波導之諧振腔………...…22
4.2 梳型帶通濾波器設計…………………………………………..………25
4.2.1 使用混合高阻抗微帶線與背地共平面波導之諧振腔………...…26
4.2.2 將二次諧振頻率推遠和濾波器微小化之分析…………………...28
4.2.3 使用混合低阻抗微帶線與低阻抗背地共平面波導之諧振腔…...30
4.2.4 使用混合高阻抗微帶線與低阻抗背地共平面波導之諧振腔…...33
4.3 折疊型帶通濾波器設計……………………………………………..…36
4.3.1 使用混合高阻抗微帶線與低阻抗背地共平面波導之諧振腔…...36
4.4 渦型帶通濾波器設計…………………………………………………..39
4.4.1 使用渦型佈局逆繞式之諧振腔………………………………...…39
4.4.2 使用渦型佈局反折式之諧振腔…………………………...………42
第五章 設計準橢圓函數帶通濾波器……………………………………...…46
5.1 準橢圓函數之介紹…………………………………………………..…46
5.2 濾波器合成(Filter Synthesis)使用最佳化(Optimization)之分析…...…49
5.2.1 理想J型轉換器之分析…………………………………….………50
5.2.2 四階交錯耦合低通濾波器之雙埠網路分析……………………...50
5.2.3 傳輸零點(Transmission Zero)之分析…………………………..…52
5.2.4 濾波器合成使用ADS最佳化…………………………………….53
5.3 四階交錯耦合帶通濾波器設計………………………………………..55
5.3.1 使用混合低阻抗微帶線與背地共平面波導之諧振腔…………...55
5.3.2 使用混合高阻抗微帶線與背地共平面波導之諧振腔…………...58
5.3.3 零點位置飄移之分析…………………………………………...…61
第六章 結論………………………………………………………………...…64
參考文獻……………………………………………………………..………...65

[1]H-W.Yao, C.Wang, and K.Zaki, “Analysis of quarter wavelength ceramic filter”, IEEE Trans. Microwave and Theory Tech., vol. MTT-S, no.1, pp473-476, 1996.

[2]H.-C.Chang, C.-C.Yen, W.-C Ku, and K.-C.Tao, “A multilay bandpass filter integrated into RF module board”, IEEE Trans. Microwave and Theory Tech., vol. MTT-S, no.1, pp619-622, 1996.

[3]David M. Pozar, Microwave Engineering, Addison-Wesley Publishing Company, 1993.

[4]G. L. Matthaie, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Networks, and Coupling Structures. Norwood, MA: Artech House, 1980.

[5]EM User’s Mannual, Sonnet Software, Liverpool, Ny, 2005.

[6]J. S. Wong, “Microstrip tapped-line filter design”, IEEE Trans. Microwave and Theory Tech., vol. MTT-27, no.1, pp44-55, Jan. 1979.

[7]Edward G Cristal, “Tapped-line coupled transmission lines with applications to interdigital and combline filters”, IEEE Trans. Microwave Theory and Tech., vol. MTT-23, no.12, pp1007-1012, December. 1975.
[8]JIA-SHEN G, HONG and M. J. LANCASTER, “Microstrip Filters for RF/Microwave Apllications”, New York: Wiley and Sons, 2001.

[9]S. Morikazu, M. Mitsuo, Y. Sadahiko, “Geometrical structures and fundamental characteristics of microwave stepped-impedance resonators”, IEEE Trans. Microwave Theory and Tech., vol. MTT-45, no.7, pp1078-1085, July. 1997.

[10]R. LEVY, “Filters with Single Transmission Zeros at Real or Imaginary Frequencies”, IEEE Trans. Microwave Theory and Tech., Vol. MTT-24, No. 4, pp.172-181, Apr. 1976.

[11]Ian Hunter, Theory and Design of Microwave Filters, The institution of Electrical Engineers, London.

[12]Jia-Sheng Hong and Michael J. Lancaster, “Design of highly selective microstrip bandpass filters with a single pair of attenuation poles at finite frequencies”, IEEE Trans. Microwave Theory Tech., vol. 48, no. 7, pp.1098-1107, July. 2000.