volume | PIER Journals

2015-09-28

Synthesis of Generalized Chebyshev Lossy Bandstop Filters with Non-Paraconjugate Transmission Zeros

Guo Hui Li

Dr. Guo Hui Li

Key Laboratory of Specialty Fiber Optics and Optical Access Network

Shanghai University

China

Homepage

Progress In Electromagnetics Research C, Vol. 59, 107-116, 2015

doi:10.2528/PIERC15082001

Abstract

A systematic procedure is presented for synthesis of generalized Chebyshev lossy bandstop filters with nonparaconjugate transmission zeros. From a lossy scattering parameters with the prescribed reflection zeros, the transformation formulas from the scattering matrix to the admittance matrix are obtained by reconstructing the non paraconjugate transmission zeros as paraconjugate ones. The canonical transversal array is modeled by partial fraction expansion of the normalized admittance functions, resulting in an increased order of the final network provided there are nonparaconjugate transmission zeros. The methods are simpler and more general than the ones in the literature. So it shows great versatility, and can also accommodate lossless network or a transfer function with symmetrical transmission zeros. To illustrate the proposed synthesis procedure, three typical examples have been carried out to validate the synthesis method.

Citation

Copy Export

Guo Hui Li, "Synthesis of Generalized Chebyshev Lossy Bandstop Filters with Non-Paraconjugate Transmission Zeros," Progress In Electromagnetics Research C, Vol. 59, 107-116, 2015.
doi:10.2528/PIERC15082001

References

1. Yu, M. and V. Miraftab, "Shrinking microwave filters," IEEE Microwave Magazine, Vol. 9, No. 5, 40-54, 2008.
doi:10.1109/MMM.2008.927636

2. Guyette, A., I. Hunter, and R. Pollard, "The design of microwave bandpass filters using resonators with nonuniform," IEEE Trans. Microw. Theory Tech., Vol. 54, No. 11, 3914-3922, 2006.
doi:10.1109/TMTT.2006.884627

3. Miraftab, V. and M. Yu, "Advanced coupling matrix and admittance function synthesis techniques for dissipative microwave filters," IEEE Trans. Microw. Theory Tech., Vol. 57, No. 10, 2429-2438, 2009.
doi:10.1109/TMTT.2009.2029625

4. Miraftab, V. and M. Yu, "Generalized lossy microwave filter coupling matrix synthesis and design using mixed technologies," IEEE Trans. Microw. Theory Tech., Vol. 56, No. 12, 3016-3027, 2008.
doi:10.1109/TMTT.2008.2008267

5. Navarro-Tapia, D., E. Sorolla, P. Otero, and M. Mattes, "Coupling matrix synthesis of dissipative microwave filters," IET Microwaves, Antennas and Propagation, Vol. 5, No. 8, 895-900, 2011.
doi:10.1049/iet-map.2010.0335

6. Oldoni, M., G. Macchiarella, G. Gentili, and C. Ernst, "A new approach to the synthesis of microwave lossy filters," IEEE Trans. Microw. Theory Tech., Vol. 58, No. 5, 1222-1229, 2010.
doi:10.1109/TMTT.2010.2045534

7. Szydlowski, L., A. Lamecki, and M. Mrozowski, "Synthesis of coupled-lossy resonator filters," IEEE Microwave and Wireless Components Letters, Vol. 20, No. 7, 366-368, 2010.
doi:10.1109/LMWC.2010.2049424

8. Zhao, Y. and G. Wang, "Multi-objective optimisation technique for coupling matrix synthesis of lossy filters," IET Microw. Antennas Propag., Vol. 7, No. 11, 926-933, 2013.
doi:10.1049/iet-map.2012.0643

9. Zhang, Q. and C. Caloz, "Alternative construction of the coupling matrix of filters with non-paraconjugate transmission zeros," IEEE Microwave and Wireless Components Letters, Vol. 23, No. 10, 509-511, 2013.
doi:10.1109/LMWC.2013.2278275

10. Cameron, R., "Advanced coupling matrix synthesis techniques for microwave filters," IEEE Trans. Microw. Theory Tech., Vol. 51, No. 1, 1-10, 2003.
doi:10.1109/TMTT.2002.806937

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