Abstract
In this paper, we provide the solution of the direct and inverse problems for a fourth-order band-pass filter (BPF) in which the cross-coupling between extreme resonators K14 is mixed. The solution of the direct problem allows determining the transmission zeros (attenuation poles) of the filter using specified coupling coefficients. In the inverse problem, transmission zeros, from which the coupling coefficients of the filter are determined, are set. The solutions are based on conductivity matrix [Ỹ] of the BPF and its minor M41, as well as a special form of representation of the mixed cross-coupling coefficient in this matrix. All possible options for the placement of the transmission zeros of the considered filter are established. A sample of an experimental microstrip filter, as well as its measured and simulated frequency characteristics corresponding to its two different states, is presented.
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REFERENCES
R. Levy, in Dig. IEEE MTT-S Int. Microw. Symp., Fort Worth, TX, USA, June 6–11, 2004 (IEEE, New York, 2004), Vol. 2, p. 447.
F. Zhu, W. Hong, J.-X. Chen, and K. Wu, IEEE Microwave and Wireless Components Lett. 24 (2), 90 (2014).
M. Hoft and T. Shimamura, IEEE Trans. Microwave Theory Tech. 58, 165 (2010).
A. V. Zakharov, S. A. Rozenko, and N. A. Zakharova, J. Commun. Technol. Electron. 57, 342 (2012).
A. Zakharov, S. Rozenko, S. Litvintsev, and M. Ilchenko, IEEE Microwave &Wireless Components Lett. 30 (1), 12 (2020).
A. V. Zakharov and S. A. Rozenko, J. Commun. Technol. Electron. 57, 649 (2012).
L. Szydlowski, A. Lamecki, and M. Mrozowski, IEEE Microwave and Wireless Components Lett. 22 (6), 312 (2012).
L. Szydlowski, N. Leszczynska, and M. Mrozowski, IEEE Microwave and Wireless Components Lett. 24 (1), 32 (2014).
W. Shen, L.-S. Wu, X.-W. Sun, et al., IEEE Microwave and Wireless Components Lett. 19, 701 (2009).
K. Gong, W. Hong, Y. Zhang, et al., IEEE Trans. Microwave Theory Tech. 60, 3071 (2012).
A. V. Zakharov, M. Y. Ilchenko, V. Y. Karnauh, and L. S. Pinchuk, Radioelectron. & Commun. Syst. 54 (3), 163 (2011).
A. V. Zakharov and M. E. Il’chenko, J. Commun. Technol. Electron. 58, 728 (2013).
A. V. Zakharov, J. Commun. Technol. Electron. 58, 265 (2013).
R. M. Kurzrok, IEEE Trans. Microwave Theory Tech. 14, 46 (1966).
J.-S. Hong and M. J. Lancaster, IEE Proc.– Microwaves Antennas Propag. 146 (1), 84 (1999).
R. M. Kurzrok, IEEE Trans. Microwave Theory Tech. 14, 295 (1966).
R. Levy, IEEE Trans. Microwave Theory Tech. 24, 172 (1976).
R. J. Cameron, C. M. Kudsia, and R. R. Mansour, Microwave Filters for Communication Systems: Fundamentals, Design and Applications (Wiley, Hoboken, 2007).
W. Atia, K. Zaki, and A. Atia, in Dig. IEEE MTT-S Int. Microw. Symp. Jun. 7–12, 1998 (IEEE, New York, 1998), Vol. 2, p. 821.
J.-S. Hong and M. J. Lancaster, Microstrip Filters for RF/Microwave Application (Wiley, New York, 2001).
H. Wang and Q.-X. Chu, IEEE Trans. Microwave Theory Tech. 57, 667 (2009).
Q.-X. Chu and H. Wang, IEEE Trans. Microwave Theory Tech. 56, 431 (2008).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (McGraw-Hill, New York, 1961).
G. L. Matthaei, L. Young, and E. M. T. Jones, Microwave Filters, Impedance-Matching Network and Coupling Structures (Artech House, Norwood, 1980).
S. B. Cohn, Proc. IRE 45, 187 (1957).
G. L. Matthaei, 1958 IRE National Convention Record, Vol. 6, Pt. 1. p. 98.
A. V. Zakharov, M. Ye. Il’chenko, and L. S. Pinchuk, Radioelectron. and Commun. Syst. 58, 284 (2015).
A. V. Zakharov, M. E. Il’chenko, and V. N. Korpach, J. Commun. Technol. Electron. 59, 550 (2014).
G. M. Aristarkhov, A. Grebennikov, and N. V. Zvezdinov, IEEE Microwave Mag. 20 (11), 22 (2019).
G. M. Aristarkhov and Yu. P. Vershinin, Radiotekh. Elektron. (Moscow) 28, 1714 (1983).
C.-L. Hsu, C.-H. Yu, and J.-T. Kuo, in Proc. 4th Int. High Speed Intelligent Commun. Forum (HSIC 2012), Nanjing, Jiangsu, China May 10–11, 2012 (HSIC, 2012), p. 1.
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Zakharov, A.V., Rozenko, S.A. & Litvintsev, S.N. Fourth-Order Microstrip Band-Pass Filter with Mixed Cross-Coupling. J. Commun. Technol. Electron. 66, 211–219 (2021). https://doi.org/10.1134/S1064226921020157
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DOI: https://doi.org/10.1134/S1064226921020157