Application of the Bazenkov method to calculate the time and frequency response of a non-linear electrical circuit to the sum of harmonic actions

Authors and copyright holders:

• Tretyakov T. I. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)

• 1. Kouhpayeh-Zadeh-Esfahani S., Abdipour A., Afrooz K. Fast Methodology for Time-Domain Analysis of Nonlinear-Loaded Transmission Line Excited by an Arbitrary Modulated Signal. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2020, vol. 39, no. 3, pp. 670–674.
• 2. Lazko M.A., Semenov E.V. [Method of object response registration for increasing sensitivity of ultra-wideband nonlinear circuit characteristic meter] Proceedings of TUSUR University, 2013, no. 2 (28), pp. 40–45 (in Russ.).
• 3. Kusano S., Stav A., Li T., Verspecht J. Correcting nonlinear distortion of wideband modulated signals using new frequency domain methods. 2022 98th ARFTG Microwave Measurement Conference (ARFTG). Las Vegas, 2022, pp. 1–3.
• 4. Neveux G., Kahsay H.H., Medrel P., Barataud D. Frequency-Domain Stability Analysis of Non-Linear Circuits driven by Random Modulated signals. 2024 19th European Microwave Integrated Circuits Conference (EuMIC). Paris, 2024, pp. 295–298.
• 5. Zhiganova E.A. [Peculiarities of using Bessel functions in spectral analysis of the output signal of a nonlinear device]. Radio Engineering and Telecommunication Systems, 2012, no. 3 (7), pp. 5–8 (in Russ.).
• 6. Riaza R. Homogeneous Models of Nonlinear Circuits. IEEE Transactions on Circuits and Systems I: Regular Papers, 2020, vol. 67, no. 6, pp. 2002–2015.
• 7. Martin T., Allgöwer F. Data-Driven System Analysis of Nonlinear Systems Using Polynomial Approximation. IEEE Transactions on Automatic Control, 2024, vol. 69, no. 7, pp. 4261–4274.
• 8. Davenport W.B., Root W.L. Random signals and noise. New York, McGraw-Hill Publ., 1958, 280 p.
• 9. Laning J.G., Battin R.H. Random processes in automatic control. New York, McGraw-Hill Publ., 1956, 171 p.
• 10. Fan X., Zhang S., Gemmeke T. Approximation of Transcendental Functions with Guaranteed Algorithmic QoS by Multilayer Pareto Optimization. IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2020, vol. 28, no. 12, pp. 2495–2508.
• 11. Gulin S.P. Analiz spektra otklika nelineinosti, predstavlennoi funktsiei dinamicheskogo nasyshcheniya, pri mnogochastotnom vozdeistvii [Analysis of the response spectrum of the nonlinearity represented by the dynamic saturation function under multi-frequency action]. Radio Electronics. Computer Science. Control., 2007, no. 2 (18), pp. 8–13 (in Russ.).
• 12. Hou Y., Guo T., Bance M., Jiang C. A High-Precision Circuit-Simulator-Compatible Model for Constant Phase Element Using Rational Function Approximation. IEEE Journal of the Electron Devices Society, 2023, vol. 11, pp. 726–733.
• 13. Malyshev I.V. Approksimatsiya staticheskikh vykhodnykh kharakteristik aktivnykh trekhelektrodnykh priborov, rabotayushchikh v nelineinom rezhime [Approximation of static output characteristics of active three-electrode devices operating in nonlinear mode]. Radioengineering, 1987, no. 8, pp. 84–85 (in Russ.).
• 14. Lantsov V. [A new algorithm for solving of harmonic balance equations by using the model order reduction method]. 2020 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT), 2020, pp. 295–297.
• 15. Kahale T., Tannir D. Memristor Modeling Using the Modified Nodal Analysis Approach. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2022, vol. 41, no. 4, pp. 1191–1195.
• 16. Li P., Pan W., Zou X., Yan L. Low-Complexity Adaptive Frequency-Domain Nonlinear Equalization for Analog RoF Mobile Fronthaul Using FFT/IFFT-Assisted Channel Aggregation. Journal of Lightwave Technology, 2022, vol. 40, no. 4, pp. 1072–1082.
• 17. Bazenkov N.I. Nelineinye effekty i elektromagnitnaya sovmestimost: uchebnoe posobie [Nonlinear Effects and Electromagnetic Compatibility: Handbook]. Tomsk, 1997, 216 p. (in Russ.).
• 18. Bartlett A.S. The Calculation of Modulation Products. Philosophical Magazine, 1933, vol. 16, pp. 845–847.
• 19. Basik I.V. Metod opredeleniya komponent toka pri vozdeistvii na nelineinuyu sistemu summy sinusoidal'nykh napryazhenii [Method for determining current components when a nonlinear system is subjected to a sum of sinusoidal voltages]. Sbornik nauchnyh trudov CNIIS [Collection of scientific papers of the Central Research Institute of Communications]. Moscow, Svyaz' Publ., 1948, pp. 66–91 (in Russ.).