volume | PIER Journals

Abstract

This paper presents a novel synthesis technique for microwave bandpass filters with frequency-dependent couplings. The proposed method is based on the systematic extraction of a dispersive coupling coefficient using an optimization technique based on the zeros and poles of scattering parameters representing two coupled resonators. The application of this method of synthesis is illustrated using two examples involving four and five-pole generalized Chebyshev filters implemented in substrate-integrated waveguide (SIW) technology. As a dispersive inverter, a parallel shorted stub with an additional septum was used. The septum lends greater flexibility to the dimensional synthesis, in that it increases the allowable range of the coupling coefficients. The measured and simulated results are in excellent agreement, which confirms the validity of the proposed approach.

1. Xu, Z., J. Guo, C. Qian, and W.-B. Dou, "A novel quasi-elliptic waveguide transmit reject filter for Ku-band VSAT transceivers," Progress In Electromagnetics Research, Vol. 117, 393-407, 2011.

2. Kuo, J.-T., S.-C. Tang, and S.-H. Lin, "Quasi-elliptic function bandpass filter with upper stopband extension and high rejection level using cross-coupled stepped-impedance resonators," Progress In Electromagnetics Research, Vol. 114, 395-405, 2011.

3. Cameron, R. J., "Advanced coupling matrix synthesis techniques for microwave filters," IEEE Transactions on Microwave Theory and Techniques, Vol. 51, No. 1, 1-10, 2003.
doi:10.1109/TMTT.2002.806937

4. Lamecki, A., P. Kozakowski, and M. Mrozowski, "Fast synthesis of coupled-resonator filters," IEEE Microwave and Wireless Components Letters, Vol. 14, 174-176, 2004.
doi:10.1109/LMWC.2004.827111

5. Kozakowski, P., A. Lamecki, P. Sypek, and M. Mrozowski, "Eigenvalue approach to synthesis of prototype filters with source/load coupling," IEEE Microwave and Wireless Components Letters, Vol. 15, 98-100, 2005.
doi:10.1109/LMWC.2004.842838

6. Amari, S. and J. Bornemann, "Using frequency-dependent coupling to generate finite attenuation poles in direct-coupled resonator bandpass filters," IEEE Microwave and Guided Wave Letters, Vol. 9, No. 19, 404-406, 1999.
doi:10.1109/75.798030

7. Amari, S., J. Bornemann, W. Menzel, and F. Alessandri, "Diplexer design using pre-synthesized waveguide filters with strongly dispersive inverters," 2001 IEEE MTT-S International Microwave Symposium Digest, Vol. 3, 1627-1630, 2001.

8. Lamecki, A., P. Kozakowski, and M. Mrozowski, "Efficient implementation of the Cauchy method for automated CAD model construction," IEEE Microwave and Wireless Components Letters, Vol. 13, No. 7, 268-270, 2003.
doi:10.1109/LMWC.2003.815185

9. Dziekonski, A., A. Lamecki, and M. Mrozowski, "GPU acceleration of multilevel solvers for analysis of microwave components with finite element method," IEEE Microwave and Wireless Components Letters, Vol. 21, No. 1, 1-3, 2011.
doi:10.1109/LMWC.2010.2089974

10. Dziekonski, A., A. Lamecki, and M. Mrozowski, "A memory efficient and fast sparse matrix vector product on a GPU," Progress In Electromagnetics Research, Vol. 116, 49-63, 2011.

11. Dziekonski, A., A. Lamecki, and M. Mrozowski, "Tuning a hybrid GPU-CPU V-cycle multilevel preconditioner for solving large real and complex systems of FEM equations," Antennas and Wireless Propagation Letters, Vol. 10, 619-622, 2011.
doi:10.1109/LAWP.2011.2159769

12. Dziekonski, A., P. Sypek, A. Lamecki, and M. Mrozowski, "Finite element matrix generation on a GPU," Progress In Electromagnetics Research, Vol. 128, 249-265, 2012.

13. Matthaei, G. L., L. Young, and E. M. T. Jones, Microwave Filters, Impedance-matching Networks and Coupling Structures, Artech House, 1985.

14. Szydlowski, L., N. Leszczynska, A. Lamecki, and M. Mrozowski, "A substrate integrated waveguide (SIW) bandpass filter in a box configuration with frequency-dependent coupling," IEEE Microwave and Wireless Components Letters, Vol. 22, No. 11, 556-558, 2012.
doi:10.1109/LMWC.2012.2221690

15. Zhang, Q. L., W. Y. Yin, and S. He, "Evanescent-mode substrate integrated waveguide (SIW) filters implemented with complementary split ring resonators," Progress In Electromagnetics Research, Vol. 111, 419-432, 2011.
doi:10.2528/PIER10110307

16. Wu, L. S., J. F. Mao, W. Shen, and W. Y. Yin, "Extended doublet bandpass filters implemented with microstrip resonator and full-/half-mode substrate integrated cavities," Progress In Electromagnetics Research, Vol. 108, 433-447, 2010.
doi:10.2528/PIER10081206

17. Wang, Z. G., X. Q. Li, S. P. Zhou, B. Yan, R. M. Xu, and W. G. Lin, "Half mode substrate integrated folded waveguide (HMSIFW) and partial H-plane bandpass filter," Progress In Electromagnetics Research, Vol. 101, 203-216, 2010.
doi:10.2528/PIER10011201

18. Szydlowski, L., A. Lamecki, and M. Mrozowski, "Design of microwave lossy filter based on substrate integrated waveguide (SIW)," IEEE Microwave and Wireless Components Letters, Vol. 21, No. 5, 249-251, May 2011.
doi:10.1109/LMWC.2011.2119471

19. Jedrzejewski, A., N. Leszczynska, L. Szydlowski, and M. Mrozowski, "Zero-pole approach to computer aided design of in-line SIW filters with transmission zeros," Progress In Electromagnetics Research, Vol. 131, 517-533, 2012.

20. Szydlowski, L., A. Lamecki, and M. Mrozowski, "Coupled-resonator filters with frequency-dependent couplings: Coupling matrix synthesis," IEEE Microwave and Wireless Components Letters, Vol. 22, No. 6, 312-314, 2012.
doi:10.1109/LMWC.2012.2197386

21. Kozakowski, P. and M. Mrozowski, "Automated CAD of coupled resonator filters," IEEE Microwave and Wireless Components Letters, Vol. 12, No. 12, 470-472, 2002.
doi:10.1109/LMWC.2002.805932

22. Gustavsen, B. and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Transactions Magnetics, Vol. 39, No. 6, 3581-3586, 2003.
doi:10.1109/TMAG.2003.819447

Dr. Natalia Leszczynska

Dr. Lukasz Szydlowski

Professor Michal Mrozowski