Proceedings of TUSUR University / Archive / Issue of Journal № 1, t. 29, 2026 / Nonlinearity Measure and Measurement Error Estimation for Characteristic Functions of Second-Order Baseband Devices

Nonlinearity Measure and Measurement Error Estimation for Characteristic Functions of Second-Order Baseband Devices

DOI: 10.21293/1818-0442-2026-29-1-46-52

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Abstract: Relevance. X-parameters have gained the greatest popularity for the measurement of device used in behavioral modeling. However, they do not allow adequate description of baseband devices. For baseband devices exhibiting overshoot on the flat top of the transient response, a measurement method was developed based on a nonlinear inertial model in the form of a second-order nonlinear recursive filter. At the same time, the methodical and instrumental errors of this method have not been metrologically evaluated. Purpose of the work is to evaluate the methodical and instrumental errors in measuring the characteristic functions of baseband devices using the second-order model by developing and measuring a second-order nonlinearity measure. Methods. The nonlinearity measure is a device consisting of an inductor and a resistor connected in series with a capacitor. The measure is designed in such a way as to exclude the influence of measuring instruments on the true value of its parameters. Measurement was performed using the method based on a nonlinear-inertial model in the form of a second-order nonlinear recursive filter. Novelty. It is shown that the developed measurement method based on the nonlinear-inertial model in the form a nonlinear recursive filter of second-order enables the measurement of baseband devices with an overshoot on the flat top of the transient response. Results. It is shown that the sys-tematic error in measuring the dynamic parameters of the device does not exceed 0,5% and can be entirely attributed to the in-strumental measurement error. Thus, the methodical error of the tested method is not detectable against the background of the error sources. Practical significance. The presented measure-ment method cab be used to develop a new class of measuring instruments for characterizing baseband devises with an over-shoot on the flat top of the transient response.

Keywords: ultra-wideband signals, behavioral models, nonlinear recursive filter, characteristics function, nonlinear pulse measurements

Funding: The work was carried out within the state assignment of the Ministry of Science and Higher Education of the Russian Federation (project No. FWRM-2024-0001).

For citation:
Poltoryhin K. M., Semenov E. V. Nonlinearity Measure and Measurement Error Estimation for Characteristic Functions of Second-Order Baseband Devices. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2026, vol. 29, no. 1, pp. 46–52. DOI: 10.21293/1818-0442-2026-29-1-46-52

Authors and copyright holders:

Poltoryhin K. M. , Institute of High Current Electronics SB RAS (Tomsk, Russia), Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)
Semenov E. V. , Institute of High Current Electronics SB RAS (Tomsk, Russia), Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)

1. Quitadamo M.V., Fiori F. A SPICE Model of Operational Am-plifiers for Electromagnetic Susceptibility Analysis. IEEE Transactions on Electromagnetic Compatibility, 2022, vol. 64, no. 2, pp. 418–428. DOI: 10.1109/TEMC.2021.3135114.
2. Brinson M., Tomaszewski D. Advances in Qucs-S Schematic Capture for SPICE and Verilog-A Device Modelling and Circuit Simulation. 2022 29th International Conference on Mixed Design of Integrated Circuits and System (MIXDES), Wrocław, Poland, IEEE Xplore, 2022, pp. 27–32. DOI: 10.23919/MIXDES55591.2022.9838038
3. Gong Z., Dai F., Zhou H., Song L. A Behavioral Model for Predicting Third-order Intermodulation Asymmetry Under Broadband Signal Excitation. 2025 International Applied Com-putational Electromagnetics Society Symposium (ACES-China), Huangshan, China, 2025, pp. 1–3. DOI: 10.23919/ACES-China66523.2025.11332990.
4. Tian M., Bell J., Azad E., Quaglia R. and Tasker P. A Novel Cardiff Model Coefficients Extraction Process Based on Artificial Neural Network. 2023 IEEE Topical Conference on RF/Microwave Power Amplifiers for Radio and Wireless Applications, Las Vegas, NV, USA, IEEE, 2023, pp. 1–3. DOI: 10.1109/PAWR56957.2023.10046221.
5. W. Chen, X. Liu, J. Chu, H. Wu, Z. Feng, F.M. Ghan-nouchi. A Low Complexity Moving Average Nested GMP Mo-del for Digital Predistortion of Broadband Power Amplifiers // IEEE Transactions on Circuits and Systems I: Regular Papers. 2022, vol. 69, no. 5, pp. 2070–2083. DOI: 10.1109/TCSI.2022.3150408
6. Sobhy M.I., Hosny E.A., Ng M.W.R., Bakkar E.A. Nonlinear System and Subsystem Modeling in the Domain. IEEE Trans. on Microwave Theory and Techniques, 1996, vol. 44, no. 12, pp. 2571–2579. DOI: 10.1109/22.554605.
7. Pedro J.C., Maas S.A. A Comparative Overview of Microwave and Wireless Power-Amplifier Behavioral Model-ing Approaches. IEEE Trans. on Microwave Theory and Tech-niques, 2005, vol. 53, no. 4, pp. 1150–1163. DOI: 10.1109/TMTT.2005.845723
8. Root D.E., Wood J., Tufillaro N., Schreurs D., Pekker A. Systematic Behavioral Modeling of Nonlinear Micro-wave/RF Circuits in the Time Domain Using Techniques from Nonlinear Dynamical Systems. Proc. of the 2002 IEEE Intern. Workshop on Behavioral Modeling and Simulation. Santa Ro-sa, USA, IEEE, 2002, pp. 71–74. DOI: 10.1109/BMAS.2002.1291060
9. Root D.E., Verspecht J., Sharrit D., Wood J., Cognata A. Broadband Poly-Harmonic Distortion (PHD) Behavioral Models from Fast Automated Simulations and Large-Signal Vectorial Network Measurements. IEEE Trans. on Microwave Theory and Techniques, 2005, vol. 53, no. 11, pp. 3656–3664. DOI: 10.1109/TMTT.2005.855728
10. Kishikawa R., Tokgöz K.K., Ito H. and Amakawa S. Predicting Amplifier Intermodulation Distortion from Single-Tone Measurement/Simulation. 2025 Asia-Pacific Microwave Conference (APMC), Jeju, Republic of Korea, IEEE, 2025, pp. 1–3. DOI: 10.1109/APMC65046.2025.11378877.
11. Palomo M.G., Ruiz S.O., Medina-Rull A., Marín E.G. et al. Induced Current Mismatch Correction Based on X para-meters Theory. 2024 54th European Microwave Conference (EuMC), Paris, France, IEEE, 2024, pp. 260–263. DOI: 10.23919/EuMC61614.2024.10732271.
12. Semyonov E.V. Simple Behavioral Model of Base-band Pulse Devices in the Form of a Second-Order Nonlinear Recursive Filter. IEEE Trans. on Circuits and Systems II: Ex-press Briefs, 2021, vol. 68, no. 6, pp. 2192–2196. DOI: 10.1109/TCSII.2020.3048819.
13. Nazarov M.A. Semyonov E.V. [Minimalistic System of Characteristics of Non-linear Baseband Pulse Devices and its Measurement]. Journal of the Russian Universities. Radioelec-tronics, 2023, vol. 26, No. 4, pp. 123–132. DOI: 10.32603/1993-8985-2023-26-4-123-132 (in Russ.).
14. Nazarov M.A. Semyonov E.V. Povedencheskiye modeli sverkhshirokopolosnykh ustroystv i ikh kharakterizatsiya [Behavioral Models of Ultra-Wideband Devices and Their Characterization], Tomsk, Publ. house of Tomsk State Universi-ty of Control Systems and Radioelectronics, 2023, 74 p. (in Russ.).
15. Poltorykhin K.M., Semyonov E.V. [Measuring the Nonlinear and Dynamic Characteristics of Base band Devices with an Overshoot at the Flat Top of Transient Response]. Journal of the Russian Universities. Radioelectronics, 2025, vol. 28, no. 4, pp. 109–118. DOI: 10.32603/1993-8985-2025-28-4-109118 (in Russ.).