本論文針對T型耦合諧振器結構帶通濾波器之寄生對地電容效應提出一改良式T型帶通濾波器設計原型，並證明此新原型可等效成三階柴比雪夫帶通濾波器。透過利用電磁模擬方法所建立的電感器及電容器資料庫，即可快速地實現此改良式T原型帶通濾波器。此外，妥善利用元件間的耦合機制可產生一些低頻及高頻的傳輸零點，以加速禁帶衰減速率。本論文利用上述原型方法實現多個2.45GHz帶通濾波器於四層壓合式封裝基板上，並經由實際量測結果得知，大部分濾波器可達下列規格：通帶植入損耗小於1.7dB，折返損耗大於14dB，並且可在950MHz、4.8GHz和7.2GHz產生大於30dB的衰減量，其中一個尺寸為1.9×2.7mm2，是目前報導內埋於有機封裝基板上面積最小的帶通濾波器。

This thesis proposes a new bandpass filter prototype modified based on T-type coupled resonator architecture by considering the parasitic shunt capacitance effect. After derivation, the new prototype can be proved equivalent to third-order Chebyshev bandpass filter. It is easy to realize the new prototype circuit by utilizing the inductor and capacitor library established from electromagnetic simulations. The couplings between circuit components can cause some transmission zeros to enhance attenuation rate at stopbands. This thesis designs several bandpass filters embedded in 4-layer laminate package substrate with center frequency at 2.45GHz. The measurement results show that most of these filters can achieve less than 1.7dB insertion loss and more than 14dB return loss at passband, and more than 30dB attenuation at 950MHz, 4.8GHz and 7.2GHz. One of the filters has a size of 1.9×2.7mm2, which is the smallest area for the currently reported bandpass filters embedded in the organic package substrate.

第一章 緒論 1
第二章 二階耦合諧振帶通濾波器之簡介 4
2.1 諧振器與品質因子探討 4
2.2 二階耦合諧振帶通濾波器原型簡介 7
2.3 在有機基板實現二階T型帶通濾波器之探討 9
第三章 改良式T型帶通濾波器原型介紹 14
3.1 原型電路之推導 14
3.2 原型響應之探討 18
3.3 傳輸零點之探討 21
3.4 設計流程 26
第四章 在有機基板上實現改良式T型帶通濾波器 29
4.1 基板的選擇與元件佈局策略 29
4.2 簡易電感器及電容器模型資料庫的建立 31
4.3 原型元件選擇與電磁整合模擬 42
4.4 設計流程之問題探討 45
4.5 改良式T型帶通濾波器之修正 47
4.6 改良式T型帶通濾波器傳輸零點之實現 48
4.7 改良式T型帶通濾波器之縮小化 53
4.8 結果比較與討論 54
第五章 結論 58
參考文獻 59

[1] J. S. Kim, S. G. Byeon, and Y.C. Kang, “Design of dual-band frequency synthesizer using miniatured LTCC bandpass filter”, in Proc. European Microwave Conf., pp.1406-1409, 2006.
[2] H. S. Song, Y. S. Lee, and K. H. Park, “A compact LTCC bandpass filter using resonators loaded with spiral-shaped open-circuited stubs”, in Proc. European Microwave Conf., pp. 397-400, 2004.
[3] W. S. Tung, Y. C. Chiang, and J. C. Cheng, “A new compact LTCC bandpass filter using negative coupling”, IEEE Microwave and Wireless Components Letters, vol. 15, no. 10, pp. 641-643, 2005.
[4] H. H. Huang, S. Y. Xu, and T. S. Horng, “Fast prototype-based design approach to miniaturized LTCC band-pass filters using two reflection zeros”, in Proc. European Microwave Conf., pp. 545-548, 2006.
[5] Y. H. Jeng, S. F. R. Chang, and H. K. Lin, “A high stopband-rejection LTCC filter with multiple transmission zeros”, IEEE Transactions on Microwave Theory and Techniques, vol. 54, no. 2, pp. 633-638, 2006.
[6] C. W. Tang, and S. F. You, “Design methodologies of LTCC bandpass filters, diplexer, and triplexer with transmission zeros”, IEEE Transactions on Microwave Theory and Techniques, vol. 54, no. 2, pp. 717-723, 2006.
[7] C. W. Tang, C. W. Shem, K. C. Chin, and J. W. Wu, “The method of generating out-band transmission zeros in the LTCC bandpass filter”, in Proc. Asia-Pacific Microwave Conf., pp. 2005.
[8] L. K. Yeung, and K. L. Wu, “A compact second-order LTCC bandpass filter with two finite transmission zeros”, IEEE Transactions on Microwave Theory and Techniques, vol. 51, no. 2, pp. 337-341, 2003.
[9] A. Kundu, and N. Mellen, “Miniaurized multilayer bandpass filter with multiple transmission zeros”, in IEEE MTT-S International Microwave Symp. Dig., pp. 760-763, 2006.
[10] W. Y. Leung, K. K. Cheng, and K. L. Wu, “Multilayer LTCC bandpass filter design with enhanced stopband characteristics”, IEEE Microwave and Wireless Components Letters, vol. 12, no. 7, pp. 240-242, 2002.
[11] S. Mukherjee, M. Swaminathan, S. Dalmis, “Synthesis and diagnosis of RF filters in liquid crystalline polymer (LCP) substrate”, in IEEE MTT-S International Microwave Symp. Dig., pp. 2119-2202, 2005.
[12] C. Quendo, E. Rius, C. Person, J. F. Favennec, Y. Clavet, A. Manchec, R. Bairavasubramanian, S. Pinel, J. Papapolymerou, and J. Laskar, “Wide band, high rejection and miniaturized fifth order bandpass filter on LCP low cost organic substrate”, in IEEE MTT-S International Microwave Symp. Dig., pp. 2203-2205, 2005.
[13] S. Dalmia, V. Sundaram, G. White, and M. Swaminathan, “Liquid crystalline polymer (LCP) based lumped-element bandpass filters for multiple wireless applications”, in IEEE MTT-S International Microwave Symp. Dig., pp. 1991-1994, 2004.
[14] M. F. Davis, A. Sutono, S. W. Yoon, S. Mandal, N. Bushyager, C. H. Lee, K. Lim, S. Pinel, M. Maeng, A. Obatoyinbl, S. Chakraborty, J. Laskar, E. M. Tentzeris, T. Nonaka, and R. R. Tummala, “Integrated RF architectures in fully-organic SOP technology”, IEEE Transactions on Advanced Packaging, vol. 25, no. 2, pp. 136-142, 2002.
[15] H. C. Chang, C. C. Yeh, W. C. Ku, and K. C. Tao, “A multilayer bandpass filter integrated into RF module board”, in IEEE MTT-S International Microwave Symp. Dig., pp. 619-622, 1996.
[16] L. Li, P. Bowles, L. T. Hwang, and S. Plager, “Embedded passives in organic substrate for bluetooth transceiver module”, in Proc. Electronic Components and Technology Conf., pp. 464-469, 2003.
[17] L. Y. Ying, and M. D. Rotaru, “A compact integrated ISM bandpass filter based on combline structures on organic substrate”, in Proc. Electronics Systemintegration Technology Conf., pp. 802-804, 2006.
[18] G. A. Lee, M. Megahed, and F. D. Flaviis, “Design of multilayers spiral inductor resonator filter”, in Proc. Electronic Components and Technology Conf., pp. 452-457, 2003.
[19] S. J. Lee, H. H. Lee, and J. Y. Park, “Fully embedded high Q passives and band pass filters for low cost organic RF SOP (System on Package) applications”, in Proc. Electronic Components and Technology Conf., pp. 2024-2029, 2007.
[20] C. T. Chiu, C. L. Lin, T. S. Horng, S. M. Wu, and C. P. Hung, “Design of miniature bandpass filters embedded in the organic substrate for RF SOP applications”, in Proc. European Microwave Conf., pp. 502-505, 2006.
[21] C. T. Chiu, B. N. Li, C. H. Huang, T. S. Horng, and C. P. Hung, “Design and implementation of embedded miniature bandpass filters for RF- system-in-organic-package applications”, in Proc. Electronic Components and Technology Conf., pp. 175-178, 2007.
[22] M. C. Park, B. H. Lee, and D. S. Park, “A laminted balanced filter using LTCC technology, in Proc. Asia-Pacific Microwave Conf., pp. 2005.
[23] G. Zheng, S. Pinel, K. Lim, R. Li, M. Tentzeris, J. Papapolymerou, K. Laskar, B. Lenoir, P. Blondy, D. Baillargeat, and P. Guillon, “Design of compact RF components for low-cost high-performance wireless front- ends”, in Proc. International Conf. on Microwave and Millimeter Wave Technology, pp. 259-262, 2002.
[24] S. Pinel, K. Lim, M. Maeng, M. F. Davis, R. Li, M. Tentzeris, and J. Laskar, “RF system-on-package (SOP) development for compact low cost wireless front-end systems”, in Proc. European Microwave Conf., pp. 2002.
[25] Y. S. Tsai, and T. S. Horng, “A broadband single-stage equivalent circuit for modeling LTCC bandpass filters”, IEEE Transactions on Microwave Theory and Techniques, vol. 54, no. 12, 2006.
[26] J. F. Liang, H. C. Chang, K. A. Zaki, “Design and tolerance analysis of thick iris wavegiude bandpass filters”, IEEE Transactions on Magenetics, vol. 29, no. 2, 1993.
[27] K. U-yen, E. J. Wollack, T. A. Doiron, J. Papaolymerou, and J. Laskar, “A planar bandpass filter design with wide stopband using double split- end stopped-impedance resonators”, IEEE Transactions on Microwave Theory and Techniques, vol. 54, no. 3, pp. 1237-1244, 2006.
[28] J. S. Lim and D. C. Park, “A modified chebyshev bandpass filter with attenuation poles in the stopband”, IEEE Transactions on Microwave Theory and Techniques, vol. 45, no. 6, pp. 898-904, 1997.
[29] J. Martel, R. Marques, F. Falcone, J. D. Baena, F. Medina, F. Martin, and M. Sorlla, “A new LC series element for compact bandpass filter design”, IEEE Microwave and Wireless Components Letters, vol. 14, no. 5, pp. 210-212, 2004.
[30] M. Yang, J. Liu, Q. Chen, and B. Zhang, “Robust design of dielectrical thin film filter for infrared microwave communications”, in Proc. International Conf. on Microwave and Millimeter Wave Technology, pp.1033-1036, 2002.
[31] 邱基綜，多層有機封裝基板上螺旋電感器之可比例伸縮寬頻模型，國立中山大學電機系碩士論文，2004。
[32] 林奇樑，有機及軟性基板內埋被動式元件設計與模型化研究，國立中山大學電機系碩士論文，2005。
[33] 徐世燁，具有多個傳輸零點之微型化LTCC帶通濾波器電路合成設計與實現，國立中山大學電機系碩士論文，2006。