volume | PIER Journals

2009-05-20

Numerical Synthesis Design of Coupled Resonator Filters

Shenjie Wen,

Dr. Shenjie Wen

School of Electric and Electronic Engineering

Nanyang Technological University

Singapore

Homepage

Lei Zhu

Professor Lei Zhu

Nanyang Technological University

Singapore

Homepage

Progress In Electromagnetics Research, Vol. 92, 333-346, 2009

doi:10.2528/PIER09041102

Abstract

This paper proposes a methodology for numerically synthesizing element values of coupled resonator filters. These element values are compatible in retrieving coupling matrix of a cross-coupled quadruplet structure (also known as the folded structure). Differed from direct synthesis by matrix rotation, numerical solution has been adopted here to its equivalent coupling model. For varied specified return loss, numerical solutions of these element values have been derived and their accuracy is verified with their analytical counterparts to be extended for stringent design requirement. In addition, multiple sets of data are tabulated and categorized for efficient filter synthesis design under different specified pass-band return loss. In the end, an example quadruplet filter is designed, fabricated and measured for validation of the presented synthesis design methodology.

Citation

Copy Export

Shenjie Wen, and Lei Zhu, "Numerical Synthesis Design of Coupled Resonator Filters," Progress In Electromagnetics Research, Vol. 92, 333-346, 2009.
doi:10.2528/PIER09041102

References

1. Atia, A. E. and A. E. Williams, "Narrow-bandpass waveguide filters," IEEE Trans. Microw. Theory Tech., Vol. 20, No. 4, 258-265, Apr. 1972.
doi:10.1109/TMTT.1972.1127732

2. Atia, A. E., et al., "Narrow-band multiple-coupled cavity synthesis," IEEE Transactions on Circuits and Systems, Vol. 21, No. 5, 649-655, Sep. 1974.
doi:10.1109/TCS.1974.1083913

3. Darlington, S., "Synthesis of reactance 4-poles which produce prescribed insertion loss characteristics," J. Math. Phys., Vol. 30, No. 9, 257-353, Sep. 1939.

4. Cameron, R. J., "General coupling matrix synthesis methods for Chebyshev filtering functions," IEEE Trans. Microw. Theory Tech. , Vol. 47, No. 4, 433-442, Apr. 1999.
doi:10.1109/22.754877

5. Cameron, R. J., "Advanced coupling matrix synthesis for microwave filters," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 1, 1-9, Jan. 2003.
doi:10.1109/TMTT.2002.806937

6. Levy, R., "Filters with single transmission zeros at real or imaginary frequencies," IEEE Trans. Microw. Theory Tech., Vol. 24, No. 4, 172-181, Apr. 1976.
doi:10.1109/TMTT.1976.1128811

7. Hong, J. S. and M. J. Lancaster, "Couplings of microstrip square open-loop resonators for cross-coupled planar microwave filters," IEEE Trans. Microw. Theory Tech., Vol. 44, No. 12, Dec. 2099-2109, 1996.

8. Hong, J. S. and M. J. Lancaster, Microstrip Filters for , RF/Microwave Applications, Wiley, 2001.

9. Mongia, R. K., et al., RF and Microwave Coupled-line Circuits, Artech House, 2007.

10. Pozar, D. M., Microwave Engineering, Wiley, 2005.

11. Saliminejad, R. and M. R. Ghafouri Fard, "A novel and accurate method for designing dielectric resonator filter," Progress In Electromagnetics Research B, Vol. 8, 293-306, 2008.
doi:10.2528/PIERB08070602

12. Bernardi, P., et al., "An equivalent circuit for EMI prediction in printed circuit boards featuring a straight-to-bent microstrip line coupling," Progress In Electromagnetics Research B, Vol. 5, 107-118, 2008.
doi:10.2528/PIERB08020502