Valery Goldenberg, Denis Lugovenko, Vladimir Repinsky,
Moscow technical University of communications and Informatics, Moscow, Russia

DOI: 10.36724/2664-066X-2023-9-2-17-25

SYNCHROINFO JOURNAL. Volume 9, Number 2 (2023). P. 17-25.


The use of modern methods of synthesis of electrical circuits makes it possible to create circuits with frequency characteristics of any complexity that do not require restructuring. However, when solving the problem of creating tunable filters, additional requirements arise for the filter and tuning technologies, especially if we are talking about creating systems in the frequency region bordering between frequencies, where implementation in the form of systems with lumped and distributed parameters is inconvenient in both cases. This article is devoted to the synthesis of a stop filter under such conditions. The goal of synthesizing tunable filters is to obtain either a constant absolute or constant relative bandwidth. The first requirement is typical for radio receiving devices, where it is necessary to ensure the minimum permissible bandwidth during tuning, the second – for radio transmitting devices, where minimum losses in the passband and a constant harmonic filtering coefficient are required. A modified method for the synthesis of rejection filters according to operating parameters is described, the synthesis of a specific filter and technological solutions for its implementation, the choice of a method for its electronic restructuring is described.

Keywords Phase-Frequency Response, Signal, Prototype, Interference, Synthesis, Filter, Two-Port Network, Four-Port Network, Passband, Unevenness


[1] P.A. Popov, “Application of frequency transformations in circuit theory,” Moscow: Energoatomizdat, 1986. 136 p.

[2] A.F. Zelevich, “Calculation of filters based on operating parameters,” Novosibirsk Electrotechnical Institute of Communications, 1975. 34 p.

[3] G. Hansel, “Handbook for calculating filters,” Moscow: Sov. Radio, 1974.

[4] V.N. Repinsky, N.I. Smirnov, V.V. Frisk, “Synthesis of low-pass filters,” Moscow: Informsvyazizdat, 1992.

[5] A.I. Belous, V.A. Solodukha, S.V. Shvedov, “Space electronics,” Moscow: Technosphere, 2015. 488 p.

[6] S.S. Arshinov, “Temperature stability of the frequency of tube generators,” Moscow: Gosenergoizdat, 2011.

[7] Avellino, “Efficient generation of odd harmonics using opposite-connected varactor diodes,” Proceedings of the Institute of Electronics and Electronics Engineers, 2009, vol. 52, p. 928.

[8] G.B. Abdullaev, “On the reactive properties of silicon diffusion p-n junctions,” Radio Engineering and Electronics, vol. 10, 2007, p. 789.

[9] R. Gómez-García, L. Yang and D. Psychogiou, “A Frequency Transformation for Co-Designed Multi-Passband/Multi-Embedded-Notch RF Filters,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 68, no. 7, pp. 2429-2433, July 2021, doi: 10.1109/TCSII.2021.3056584.

[10] A. K. Belbachir, M. Charif, and O. Oulhaj, “Calculation and polynomial synthesis of the normalized response of a pseudo-elliptic lossy filter,” Proceedings of the 2nd International Conference on Networking, Information Systems & Security (NISS19). Association for Computing Machinery, New York, NY, USA, Article 18, 1–3, 2019, doi: 10.1145/3320326.3320350.

[11] P. Apostolov, A. Meklyov and V. Kostov, “Band-pass and Band-stop Filters Synthesis Using Sigmoidal Function,” 2021 12th National Conference with International Participation (ELECTRONICA), Sofia, Bulgaria, 2021, pp. 1-3, doi: 10.1109/ELECTRONICA52725.2021.9513699.

[12] A. Panja, A. Bhattacharya and T. P. Banerjee, “Design and Analysis of Notch Depth for T-Notch Filter,” 2020 National Conference on Emerging Trends on Sustainable Technology and Engineering Applications (NCETSTEA), Durgapur, India, 2020, pp. 1-4, doi: 10.1109/NCETSTEA48365.2020.9119943.

[13] Y. Jing, A. A. Durra and E. F. El-Saadany, “An Adaptive Digital Notch Filter Based on Grid Impedance Estimation for Improving LCL Filter Peformance,” 2018 IEEE/PES Transmission and Distribution Conference and Exposition (T&D), Denver, CO, USA, 2018, pp. 1-5, doi: 10.1109/TDC.2018.8440296.

[14] V. N. Shakin, T. I. Semyonova, A. Y. Kudryashova and V. V. Frisk, “Comparison of Computer Modeling of RC Filter in Matlab and Scilab Environments,” 2020 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF), St. Petersburg, Russia, 2020, pp. 1-5, doi: 10.1109/WECONF48837.2020.9131473.

[15] S.S. Adzhemov, V.L. Goldenberg, V.N. Repinsky, N.V. Okunev, “Tunable notch filter”. Patent for invention RU 2671042 C1, 10/29/2018/ Application No. 2017117773 dated 05/22/2017