Journal of Radio Electronics. eISSN 1684-1719. 2025. ¹1

Contents

Full text in Russian (pdf)

Russian page

 

 

DOI: https://doi.org/10.30898/1684-1719.2025.1.12

 

 

 

On the dynamic nonlinearity characterization
for ultra-wideband devices

 

E.V. Semyonov, M.A. Nazarov, K.M. Poltorykhin

 

Institute of High Current Electronics of Russian Academy of Sciences (Siberian Branch)
634055, Russia, Tomsk, Akademichesky prosp., 2/3

 

The paper was received November 8, 2024.

 

Abstract. It is shown that the known system of characteristics obtained for ultra-wideband nonlinear dynamical devices in the form of characteristic functions of a nonlinear recursive filter does not ensure a separate representation of the static and dynamic nonlinearity of the device. A new characteristic of the dynamic nonlinearity for ultra-wideband devices is proposed, which is defined as the ratio of the capacitive element charge to the current through the resistive element (according to the equivalent circuit of the filter). It is demonstrated that dividing the charge of the capacitive element by the dependence of the resistive current on the output voltage eliminates the effect of the static nonlinearity of the device on the proposed dynamic nonlinearity characteristic. In its meaning, this characteristic of dynamic nonlinearity approximately corresponds to the time constant of the RC-circuit equivalent to the device. It has been analytically shown that at the absence of nonlinear distortions in the object’s dynamical (memory) subsystem, the time constant of the equivalent RC-circuit does not depend on the output voltage of the object. Such characteristic allows simple normalization and observation of small nonlinear distortions in a wide range of signal amplitudes. The application of the proposed characteristic of dynamic nonlinearity is demonstrated on the example of a three-stage power amplifier. It is shown that for the selected example, the separately characterized dynamic nonlinearity has a value comparable to the static nonlinearity.

Key words: dynamic nonlinearity, ultra-wideband devices, nonlinear recursive filters, transient responses.

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

Corresponding author: Edward V. Semyonov, edwardsemyonov@narod.ru

References

1. Semyonov E.V. Modeling the influence of nonlinear dynamical distortions on signal integrity in the baseband path of digital communication systems // Russian Forum “Microelectronics 2024” / Theses of the 10th Scientific Conference “Electronic Components and Microelectronic Modules". Sochi, Sirius University of Science and Technology, September 23–28, 2024. – Moscow: TEKHNOSFERA, 2024. – P. 159–160. – (In Russian).

2. Root D.E., Verspecht J., Sharrit D., Wood J., Cognata A. Broad-band poly-harmonic distortion (PHD) behavioral models from fast automated simulations and large-signal vectorial network measurements // IEEE Transactions on Microwave Theory Techniques. – 2005. – Vol. 53, No. 11. – P. 3656–3664. https://doi.org/10.1109/TMTT.2005.855728

3. Arnstein D.S., Vuong X.T., Cotner C.B., Daryanani H.M. The IM microscope: a new approach to nonlinear analysis of signals in satellite communications systems // COMSAT Technical Review. – 1992. – Vol. 22, No. 1. – P. 93–123. – URL: https://www.artelllc.com/wp-content/uploads/T3-3-WhitePaper-XTV-Spring-1992-IM-Microscope.pdf (äàòà îáðàùåíèÿ 04.11.2024).

4. Semyonov E.V. Synthesis of behavioral models for circuits with nonlinearity less than model error // IEEE Transactions on Circuits and Systems II. Express Briefs. – 2023. – Vol. 70, No. 6. – P. 2216–2220. https://doi.org/10.1109/TCSII.2022.3231873.

5. Semyonov E.V. Analysis of the structure of nonlinear distortions at baseband pulse impacts using behavioral nonlinear models of electrical circuits // Journal of the Russian Universities. Radioelectronics. – 2022 – Vol. 25, ¹ 2. – P. 29–39. – (In Russian). https://doi.org/10.32603/1993-8985-2022-25-2-29-39.

6. Pedro J. C., Maas S. A. A comparative overview of microwave and wireless power-amplifier behavioral modeling approaches // IEEE Transactions on Microwave Theory and Techniques. – 2005. – Vol. 53, No 4. – P. 1150–1163. https://doi.org/10.1109/TMTT.2005.845723.

7. Semyonov E.V. Simple behavioral model of baseband pulse devices in the form of a second-order nonlinear recursive filter // IEEE Transactions on Circuits and Systems II. Express Briefs. – 2021. – Vol. 68, No. 6. – P. 2192–2196. https://doi.org/10.1109/TCSII.2020.3048819.

8. Nazarov M.A., Semyonov E.V. Behavioral models of ultra-wideband devices and their characterization. – Tomsk: Publishing house of Tomsk State University of Control Systems and Radioelectronics, 2023. – 74 p. – (In Russian).

9. Nazarov M.A., Semyonov E.V. Minimalistic system of characteristics of nonlinear baseband pulse devices and its measurement // Journal of the Russian Universities. Radioelectronics. – 2023. – Vol. 26, ¹ 4. – P. 123–132. – (In Russian). https://doi.org/10.32603/1993-8985-2023-26-4-123-132.

For citation:

Semyonov E.V., Nazarov M.A. Poltorykhin K.M. On the dynamic nonlinearity characterization for ultra-wideband devices. // Journal of Radio Electronics. – 2025. – ¹. 1. https://doi.org/10.30898/1684-1719.2025.1.12 (In Russian)