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研究生:王瀞瑩
研究生(外文):Ching-YingWang
論文名稱:類橢圓微波濾波器之合成
論文名稱(外文):Synthesis of Quasi-Elliptic Microwave Filters
指導教授:蔡智明蔡智明引用關係
指導教授(外文):Chih-Ming Tsai
學位類別:碩士
校院名稱:國立成功大學
系所名稱:電腦與通信工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2015
畢業學年度:103
語文別:中文
論文頁數:53
中文關鍵詞:濾波器類橢圓響應
外文關鍵詞:FilterQuasi-elliptic response
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隨著近年來數位通訊工業的蓬勃發展,微波通訊電路的開發與設計進步的相當快速,高效能的無線通訊系統是相當重要的,而微波濾波器扮演了不可或缺並且相當重要的角色。本論文的主要目的為合成實現高選擇度之類橢圓濾波器,首先先探討此電路與傳統設計的巴特沃斯、柴比雪夫、和橢圓濾波器之架構與響應差異,然後針對文獻中缺乏完整合成理論之類橢圓濾波器,推導出其等效電路與特徵函數,再利用數學演算法,以此為原型進行最佳化的近似合成。
在本論文中,把先前學者所提出的架構原型,以三種不同的方式進行最佳化合成,以方便適用於不同需求之頻率響應。並對最佳化之結果、原始電路、以及傳統濾波器三者,進行頻率響應與電路實現難易程度的比較。最後,透過實際製作此類橢圓濾波器,並進行量測與模擬比較,證實了本研究方法的正確性。

Quasi-elliptic microwave filters with step stubs had been proposed recently. However, the synthesis procedures and design equations are not well developed yet. This thesis studies the optimization and realization of this type of quasi-elliptic filters. We adopt the prototype from the literature and use a modified algorithm to improve the optimization. Three optimization schemes are discussed to improve the response, and compare with the traditional function. Finally, the proposed method and design are verified by simulations and experiment.
第一章 緒論 1
第二章 濾波器合成理論 3
2-1 常見濾波器類型比較 3
2-2 插入損失法之合成 5
2-3 數學演算法 9
第三章 寬頻類橢圓微波濾波器合成 14
3-1具有1:2:3諧振殘段的類橢圓濾波器之分析與比較 16
3-1-1 等效電路與優缺點分析 16
3-1-2 特徵函數的推導與分析 22
3-2 Scheme I 26
3-2-1 利用演算法最佳化電路之頻率響應 27
3-2-2 電路範例 29
3-3 Scheme II 33
3-3-1 利用演算法最佳化電路之頻率響應(Scheme II-1) 33
3-3-2 電路範例(Scheme II-1) 35
3-3-3利用演算法最佳化電路之頻率響應(Scheme II-2) 39
3-4 Scheme III 41
第四章 實作與量測 45
第五章 結論與未來展望 49
5-1 結論 49
5-2 未來展望 50
參考文獻 51

[1.1]J. A. G. Malherbe, “Pseudo-elliptic bandstop filter with 1:2:3 harmonic ratio stubs, Elec. Lett., vol. 49, No. 2, pp. 130~132, Jan. 2013.
[1-2]P. I. Richards, “Resistor-Transmission-Line Circuits,’’ Proc. IRE, vol. 36, No. 2, pp. 217-220, Feb. 1948.
[1-3]Y. Zhang, K. A. Zaki, J. A. Ruiz-Cruz, and A. E. Atia, “Analytical Synthesis of Generalized Multi-band Microwave Filters, in IEEE MTT-S Int. Microw. Symp. Dig., Honolulu, HI, 2007, pp. 1273-1276.
[2-1]H. J. Orchard and G. C. Temes, “Filter Design Using Transformed Variables, IEEE Trans. On Circuit Theory, vol. 15, No. 4, pp. 385~408, Dec. 1968.
[2-2]Y. Zhang, K. A. Zaki, J. A. Ruiz-Cruz, and A. E. Atia, “Analytical Synthesis of Generalized Multi-band Microwave Filters, in IEEE MTT-S Int. Microw. Symp. Dig., Honolulu, HI, 2007, pp. 1273-1276
[3-1]P. I. Richards, “Resistor-Transmission-Line Circuits,’’ Proc. IRE, vol. 36, No. 2, pp. 217-220, Feb. 1948.
[3-2]J. A. G. Malherbe, “Pseudo-elliptic bandstop filter with 1:2:3 harmonic ratio stubs, Elec. Lett., vol. 49, No. 2, pp. 130~132, Jan. 2013.
[3-3]R. Levy and I. Whiteley, “Synthesis of Distributed Elliptic-Function Filters from Lumped-Constant Prototypes, IEEE Trans. On Microwave Theory and Techniques, vol. 14, No. 11, pp. 506-517, Nov. 1966.
[3-4]B. M. Schiffman and G. L. Matthaei, “Exact Design of Band-stop Microwave Filters, IEEE Trans. On Microwave Theory and Techniques, vol. 12, No. 1 pp. 6-15, Jan. 1964.
[3-5]B. M. Schiffman, “A Multiharmonic Rejection Filter Designed by an Exact Method, IEEE Trans. On Microwave Theory and Techniques, vol. 12, No.5, pp. 512-516, May 1964.
[3-6]B. M. Schiffman and L.Young, “Design Tables for an Elliptic-Function Band-Stop Filter (N=5), IEEE Trans. On Microwave Theory and Techniques, vol. 14, No. 10, pp. 474-482, Oct. 1964.
[3-7]A. I. Zverev, Handbook of Filter Synthesis, John Wiley & Sons, Inc., New York, 1967, pp. 169-289.
[3-8]R. Levy, “A General Equivalent Circuit Transformation for Distributed Networks, IEEE Trans. On Circuit Theory, vol. 12, No. 3, pp. 457-458, Sept. 1965.
[3-9]Y. Zhang, K. A. Zaki, J. A. Ruiz-Cruz, and A. E. Atia, “Analytical Synthesis of Generalized Multi-band Microwave Filters, in IEEE MTT-S Int. Microw. Symp. Dig., Honolulu, HI, 2007, pp. 1273-1276.
[3-10]R. Levy, “Filters with Single Transmission Zeros at Real or Imaginary Frequencies, IEEE Trans. On Microwave Theory and Techniques, vol. 24, No. 4, pp. 172~181, Apr. 1976.
[3-11] P. I. Richards, “A Special Class of Functions with Positive Real Part in a Half-Plane,’’ J. Duke Math., vol. 14, No. 3, pp.777-786, Sep. 1947.
[5.1]J. A. G. Malherbe, “Pseudo-elliptic bandstop filter with 1:2:3 harmonic ratio stubs, Elec. Lett., vol. 49, No. 2, pp. 130~132, Jan. 2013.

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