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研究生:吳尚哲
研究生(外文):Shang-Zhe Wu
論文名稱:利用頻率轉移函數製作雙頻濾波器
論文名稱(外文):Dual-Band Filter Design Using Frequency Transformation Methods
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:2009
畢業學年度:97
語文別:中文
論文頁數:115
中文關鍵詞:雙頻帶通等長性濾波器分佈式
外文關鍵詞:filterdual-banddistributedbandpasscommensurate
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  • 下載下載:34
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近年來,擁有雙頻功能的通訊產品不斷地被研究與開發。一般在設計雙頻濾波器時,通常會先設計出雙頻諧振器,接著再根據雙頻帶所需的耦合量設計出合適的雙頻倒轉器。本論文則是提出利用頻率轉移函數的方式,將不等頻寬的雙通帶響應轉移至已知且易於分析的頻率座標上,接著根據計算出的頻率轉移函數,以及低通或是帶通原型電路,進而推導出擁有雙頻功能的濾波器架構,而且此雙頻電路可以利用分佈式電路來實現。
在本論文裡介紹了兩種轉移函數,分別為等長性轉移函數以及非等長性轉移函數。利用這些轉移函數並搭配適當的頻率對應方式,雙頻濾波器可以被設計出來。在平面電路實作上,串聯殘段是不容易實現的,因此本論文提出雙頻倒轉器,藉此將串聯殘段轉成並聯殘段。同時也設計出雙頻阻抗轉換器,藉此改變整體電路的阻抗。為了驗證設計的正確性,在論文裡分別設計及實作了兩個雙頻濾波器,並利用網路分析儀進行了量測。最後針對一些現有的雙頻濾波器文獻,本論文分別討論在等頻寬條件下其所呈現的特性,並且找出了其等效的頻率轉移函數。
In recent years, communication systems which can operate at multiple bands are very popular. These require circuits and devices with dual-band characteristics. Usually, one needs dual-band resonators and inverters when designing dual-band filters. However, in this thesis, dual-band filters are designed by using frequency transformation methods, which is similar to Richard’s transformation, so they are ready to be realized using transmission lines.
Since series stubs can not be realized easily on printed circuit boards, dual-band inverters are proposed. A dual-band impedance transformer is also designed to change the circuit’s impedance level. All the elements are distributed, so Kuroda identities can be applied if they are commensurate. Completed designs using non-commensurate transmission-line sections are also proposed. To validate these methods, two dual-band filters have been designed, fabricated, and tested.
Several dual-band filter designs in the literature have been studied. Their corresponding dual-band transformations have been derived. Therefore, they can also be designed by the methods proposed in this thesis.
第一章 緒論................................1
第二章 利用z平面轉移合成電路簡介...........3
2-1 簡介................................3
2-2 函數推導............................4
2-3 帶通響應電路輸入阻抗合成............8
2-4 低通響應電路輸入阻抗合成...........14
2-5 等頻寬響應.........................16
2-6 頻率轉移函數.......................20
第三章 等長性轉移函數.....................27
3-1 轉移公式...........................27
3-2 電路範例...........................31
3-3 倒轉器.............................36
3-4 雙頻倒轉器.........................43
3-5 其他等效電路.......................53
3-6 電路模擬與實作.....................55
第四章 非等長性轉移函數...................60
4-1 轉移公式...........................62
4-2 電路範例...........................66
4-3 N階雙頻濾波器......................71
4-4 雙頻阻抗倒轉器.....................74
4-5 電路模擬、實作與量測...............78
第五章 與其他雙頻電路之比較...............87
5-1 等頻寬條件下之電路比較.............87
5-2 根據雙頻電路找出對應的轉移函數.....96
5-3 頻率轉移函數的限制................106
第六章 結論與未來方向....................110
參考文獻 ..................................113
[1.1]H. Miyake, S. Kitazawa, T. Ishizaki, T. Yamada, and Y. Nagatomi, “A Miniaturized Monolithic Dual Band Filter Using Ceramic Lamination Technique for Dual mode Portable Telephones,” IEEE MTT-S Int. Microwave Symp. Dig., vol. 2, pp. 789-792, 1997.
[1.2]Y. L. Chen, “Dual-Band Filter for Wireless Communications,” Thesis for Master of Science, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C., June, 2001.
[1.3]H. M. Lee, “Microwave Filter Designs with Different Component Q, Different Mode Velocities, and Dual-Band Characteristics,” Dissertation for Doctor of Philosophy, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C., Jan. 2006.
[1.4]C. M. Tsai, H. M. Lee, and C. C. Tsai, “Planar Filter Design with Fully Controllable Second Passband,” IEEE Trans. Microwave Theory Tech., vol. 53, no. 11, pp. 3429-3439, Nov. 2005.
[1.5]H. M. Lee and C. M. Tsai, “Dual-Band Filter Design with Flexible Passband Frequency and Bandwidth Selections,” IEEE Trans. Microwave Theory Tech., vol. 55, no. 5, pp. 1002-1009, May 2007.
[2.1] H. J. Orchard and G. C. Temes, “Filter Design Using Transformed Variables,” IEEE Trans. Circuit Theory, vol. CT-15, no. 4, pp. 385-408, Dec. 1968.
[2.2]G. C. Temes and S. K. Mitra, Modern Filter Theory and Design, New York: Wiley, 1973, ch 3.
[2.3]R. J. Wenzel, “Synthesis of Combline and Capacitively Loaded Interdigital Bandpass Filters of Arbitrary Bandwidth,” IEEE Trans. Microwave Theory Tech., vol. 19, no. 8, pp. 678-686, Aug. 1971.
[2.4]C. M. Tsai, H. M. Lee, and C. C. Tsai, “Planar Filter Design with Fully Controllable Second Passband,” IEEE Trans. Microwave Theory Tech., vol. 53, no. 11, pp. 3429-3439, Nov. 2005.
[2.5]H. M. Lee and C. M. Tsai, “Dual-Band Filter Design with Flexible Passband Frequency and Bandwidth Selections,” IEEE Trans. Microwave Theory Tech., vol. 55, no. 5, pp. 1002-1009, May 2007.
[2.6]R. J. Cameron, M. Yu, and Y. Wang, “Direct-Coupled Microwave Filters with Single and Dual Stopbands,” IEEE Trans. Microwave Theory Tech., vol. 53, no. 11, pp. 3288-3297, Nov. 2005.
[2.7]G. Macchiarella and S. Tamiazzo, “Design Techniques for Dual-Passband Filters,” IEEE Trans. Microwave Theory Tech., vol. 53, no. 11, pp. 3265-3271, Nov. 2005.
[2.8]Y. L. Chen, “Dual-Band Filter for Wireless Communications,” Thesis for Master of Science, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, R.O.C., June, 2001.
[3.1]H. M. Lee and C. M. Tsai, “Dual-Band Filter Design with Flexible Passband Frequency and Bandwidth Selections,” IEEE Trans. Microwave Theory Tech., vol. 55, no. 5, pp. 1002-1009, May 2007.
[4.1]J. S. Hong and M. J. Lancaster, Microstrip Filter for RF/Microwave Applications, New York: Wiley, 2000.
[5.1]R. J. Wenzel, “Synthesis of Combline and Capacitively Loaded Interdigital Bandpass Filters of Arbitrary Bandwidth,” IEEE Trans. Microwave Theory Tech., vol. 19, no. 8, pp. 678-686, Aug. 1971.
[5.2]C. M. Tsai, H. M. Lee, and C. C. Tsai, “Planar Filter Design with Fully Controllable Second Passband,” IEEE Trans. Microwave Theory Tech., vol. 53, no. 11, pp. 3429-3439, Nov. 2005.
[5.3]H. M. Lee and C. M. Tsai, “Dual-Band Filter Design with Flexible Passband Frequency and Bandwidth Selections,” IEEE Trans. Microwave Theory Tech., vol. 55, no. 5, pp. 1002-1009, May 2007.
[5.4]G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filter, Impedance-Matching Networks, and Coupling Structures, Norwood, MA: Artech House, 1980, ch 8.
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