本論文旨在探討平衡式帶通濾波器與雙工器之研究，研究主題共分為三部份。第一部份之平衡式雙頻帶通濾波器是利用微帶線耦合饋入槽線共振器組成，利用三節式步階阻抗槽線共振器可任意調整共振頻率概念來設計電路，並妥善的利用對稱面於差模與共模時之不同特性，來達到良好的差模響應與共模雜訊之抑制，而為了擁有良好之頻帶選擇性，吾人亦將槽線共振器與微帶饋入線安排雙重路徑(交錯耦合)結構，使訊號同時經過兩個路徑，且兩者在輸出端產生180°的相位差時，可在通帶兩旁分別產生一個傳輸零點，以增加頻帶選擇性。
第二部分之平衡式雙工器設計則是以第一部分架構之延伸,為了具有寬截止頻帶之響應，吾人利用交錯耦合之結構產生零點以抑制第二共振模態，使其為一寬截止頻帶之平衡式單頻BPF；而雙工器則採用T-junction結構整合，吾人利用Smith chart分析以找出相對應之饋入線長度，使所設計之雙工器具有良好的差模響應與寬頻帶之共模雜訊抑制。
第三部分的研究中，吾人利用平衡式濾波器設計成具有高隔離度之平衡式雙工器，平衡式雙工器以T-junction方式饋入將兩個平衡式帶通濾波器做整合；本研究之主體架構由兩級/4 SIR所組成，利用SIR第二共振頻率可調之特性，以設計較寬之高頻截止頻帶，並在輸入端與共振器間於對稱面上設計連接，而輸出端則否，在差模操作時並無任何的影響，其原因為在差模操作時，沿著對稱面之線段皆可視為接地，輸入與輸出端之饋入形式相同，其影響故而可以忽略；而共模操作時，電路對稱面可視為一磁牆(形同開路)，原共振器之半電路由/4 SIR轉為/2 SIR之共振結構。由於輸入埠饋入線與第一級共振器連結，使饋入線與第一級共振器整合成為一段傳輸線，整個電路形同由傳輸線饋入至第二級共振器再由輸埠接出，原差模時之良好阻抗匹配將被破壞，使得共模訊號傳輸不佳而受到抑制。
本研究所設計之平衡式帶通濾波器與雙工器，其模擬與實測結果皆相當吻合。由所得之結果顯示，所設計之平衡式帶通濾波器與雙工器其差模通帶插入損失之理論值皆不大於2 dB，而共模之插入損失在1-8 GHz頻率範圍內皆大於20 dB，隔離度也都大於35dB，故知所設計之平衡式帶通濾波器與雙工器皆有良好的差模響應、高的共模雜訊抑制及高隔離度之特性。

The main objective of this thesis is the study and design of balanced bandpass filters (BPF) and diplexers. The research work is divided into three parts. For the first part, a balanced dual-band BPF composed of symmetrical microstrip feeding lines and a slotline resonator was designed. Tri-section stepped-impedance slot-line resonator (TSSISLR) which allows the first and the second harmonic resonant frequencies adjustable was used as the main resonant unit. The distinct differential-mode (DM) and common-mode (CM) characteristics of the plane of symmetry are utilized to achieve good DM response and high CM noise suppression. In addition, to obtain good selectivity, we arranged the slot-line resonator and microstrip feeding lines to form a dual-path (cross-coupled) structure, which allow signals to pass through the two paths, and thus may cancelled out at the output port as they are of the same amplitude and 180 degrees out of phase. By the cross-coupled configuration, transmission zeros can be introduced to both sides of the passband and the selectivity can be increased.
In the second part of the research, we used balanced BPF to design a balanced diplexer with high isolation. The balanced diplexer utilized the T-junction to do the integration of two single-balanced bandpass filters. In this study, the main structure consists of two stages of /4 SIR. We utilize the SIR’s adjustable frequency characteristics to design a wider high-frequency stopband. In the plane of symmetry, the two input ports and the resonator has a connection, while the two output ports don’t, and this does not have any effect in the differential mode operations. The reason is that when the differential mode operation, at the plane of symmetry can be considered as a ground plane, input and output ports are similar, its impact therefore can be ignored. But, when at common mode operations, the circuit symmetry plane can be regarded as a magnetic wall, half circuit of the original resonator from /4 SIR converted to the resonance structure of /2 SIR. Due to the connection between input feed-line and first-stage resonator, the feed-line and first-stage resonator integrate to form a transmission line, the signal is feed into the second stage resonator by the transmission line and then transmit out from the output port, the original differential-mode good impedance match is damaged, causing poor signal transmission and suppression of the common-mode operation.
The balanced BPF and diplexer designed by this research showed that the simulation and measured results are quite consistent. The obtained results show that the theoretical value of differential-mode reflection loss is less than 2 dB, while the common-mode insertion loss in the 1-8 GHz frequency range is greater than 20 dB, isolation is also greater than 35dB. So, the designed balanced BPF and diplexer both have good differenced-mode operation, high common-mode noise rejection and high isolation performance.

中文摘要 i
英文摘要 ii
誌謝 iii
目錄 iv
圖目錄 v
第一章 緒論 1
1-1 研究動機 1
1-2 文獻探討 2
1-3 論文大綱 4
第二章 以微帶線饋入槽線共振器設計之平衡式帶通濾波器 6
2-1 以TSSISLR設計之平衡式雙頻帶通濾波器 6
2-2 以TSSISLR設計之平衡式雙頻帶通濾波器模擬與量測結果 8
第三章 設計具有良好共模雜訊抑制之平衡式雙工器 14
3-1 以步階式槽線阻抗共振器設計之平衡式BPF 14
3-2 以步階式槽線阻抗共振器設計之平衡式雙工器 16
3-3 設計Balanced diplexer與Balun diplexer之模擬與量測結果 17
第四章 設計一具有寬截止頻帶之平衡式雙工器 31
4-1 設計寬截止頻帶之平衡式BPF 31
4-2 設計寬截止頻帶之Balanced diplexer與Balun diplexer 33
4-3 寬截止頻帶Balanced diplexer與Balun diplexer之模擬與量測結果 33
第五章 結論 47
參考文獻 48
作者簡歷 51

[1] J. D. Rhodes, “Direct design of symmetrical interaction bandpass channel diplexers ,” IEEE Journal on Microwave, Optics and Acoustics, vol. 1, no. 1, Sept.1976.
[2] C. F. Chen, T. Y. Huang, C. P. Chou, and R. B. Wu, “Microstrip diplexers design with common resonator sections for compact size, but high isolation,” IEEE Trans. Microw. Theory Tech., vol. 54, no. 5, pp. 1945–1952, May 2006.
[3] C.-Y. Huang, M.-H. Weng, and C.-S. Ye, "A high band isolation and wide stopband diplexer using ual-mode stepped-impeance resonators," Progress In Electromagnetics Research, vol. 100, pp. 299-308, 2010.
[4] T. Yang, P. L. Chi, and T. Itoh, “Compact quarter-wave resonator and its applications to miniaturized diplexer and triplexer,” IEEE Trans. Microw. Theory Tech., vol. 59, no. 2, pp. 260–269, Feb. 2011.
[5] Y. Dong and T. Itoh, “Substrate integrated waveguide loaded by complementary split-ring resonators for miniaturized diplexer design,” IEEE Microw. Wireless Compon. Lett., vol. 21, no.1, pp. 10-12, Jan. 2011.
[6] H. Y. Zeng, G. M. Wang, D. Z. Wei, and Y. W. Wang, “Planar diplexer using composite right-/left-handed transmission line under balanced condition,” Electronics Lett, vol. 48, no. 2,104-106, Jan. 2012.
[7] W.-Q. Xu, M.-H. Ho, and C. G. Hsu, "UMTS diplexer design using dual-mode stripline ring resonators," Electronics Letters, vol. 43, no. 13, pp. 721-722, Jun. 2007.
[8] F Cheng, XQ Lin, ZB Zhu, LY Wang, and Y Fan,“High isolation diplexer using quarter-wavelength resonator filter,” Electronics Lett., vol 48, no. 6, Mar. 2012.
[9] J. Shi, J.-X. Chen, and Z.-H. Bao, “Diplexers based on microstrip line resonators with loaded elements,” Progress In Electromagnetics Research, vol. 115, 423-439, 2011.
[10] M. L. Chuang and M.-T. W, "Microstrip diplexer design using common T-shaped resonator," IEEE Microw. Wireless Compon. Lett., vol. 21, no. 11, 583-585, Nov. 2011.
[11] C. H. Lee, I. C. Wang, and C. I. G. Hsu, “Dual-band balanced BPF using ¸λ/4 stepped-impedance resonators and folded feed lines,” Journal of Electromagnetic Waves and Applications,Vol. 23, Nos. 17-18, 2441-2449, 2009.
[12] C. H. Lee, C.-I. G. Hsu and C.-C. Hsu, “Balanced dual-band BPF with stub-loaded SIRs for common-mode suppression,” IEEE Microw Wireless Compon. Lett., vol. 17, no. 2, 70-72, Feb. 2010.
[13] Hsu, C.-I. G., C.-C. Hsu, C.-H. Lee, and H.-H. Chen, “Balanced dual-band BPF using only equal-electric-length SIRs for common-mode suppression,” Journal of Electromagnetic Waves and Applications, vol. 24, no. 5-6, 695-705, 2010.
[14] J. H. Chang, Y. S. Lin, C. H. Lee, C.-I. G. Hsu. “Balanced dual-band BPF design using ring resonators,” IEEE International Workshop on Electromagnetics, Applications and Student Innovation Competition, Taipei, Taiwan, Aug. 2011.
[15] C. H. Lee, T. H. Chang, C.-I. G. Hsu, and J. H. Chang, “Balanced wideband BPF design using stub-loaded multi-mode resonator for MB-OFDM application,” Microwave and Optical Technology Lett., Feb. 2012.
[16] Chung-Jung Chen, Ching-Her Lee, Chung-I G. Hsu, and Jhih-Hong Chang, “Balanced UWB BPF design using slotline resonator,” Proceedings of PIERS, Kuala Lumpur, Malaysia, Mar. 2012.
[17] C. H. Lee, C.-I. G. Hsu, and Chung-Jung Chen, “Band-notched balanced UWB BPF design using non-uniform slotline resonator,” IEEE Microwave and Wireless Components Lett., Jan. 2012.
[18] Y. J. Lu, S. Y. Chen, and P. Hsu, “ A Differential-mode Wideband bandpass filter with enhanced common-mode suppressionusing slotline tesonator. ” IEEE Microw. and Wireless Compon. Lett., vol. 22, no. 10, Oct. 2012.
[19] C.-H. Wu, C.-H. Wang, and C. H. Chen, “A novel balanced-to-unbalanced diplexer based on four-port balanced-to-balanced bandpass filter,” in Proc. Eur. Microw. Conf., 2008, pp. 28–31.
[20] Q. Xue, J. Shi, and J.-X. Chen, “Unbalanced-to-balanced and balanced-to-unbalanced diplexer with high selectivity and common-mode suppression,” IEEE Trans. Microw. Theory Tech., vol. 59, no. 11, pp. 2848–2855, Jan. 2011.
[21] Z.-H. Bao, J.-X. Chen, E. H. Lim, and Q. Xue, “Compact microstrip diplexer with differential outputs,” Electron. Lett., no. 3, pp. 766–768, May. 2010.
[22] M. Makimoto and S. Yamashita, “Bandpass filters using parallel coupled stripline stepped impedance resonators,” IEEE Trans. Microwave Theory Tech., vol. 28, no. 12, Dec. 1980.
[23] D. Packiaraj, M. Ramesh and A. T. Kalghatgi, “Design of a tri-section folded SIR filter,” IEEE Microw. &; Wireless Compon. Lett., vol. 16, no. 5, pp. 317-319, May. 2006.