Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. 7
Contents

Full text in Russian (pdf)

Russian page

 

DOI: https://doi.org/10.30898/1684-1719.2022.7.11

 

Investigation of the dynamics
of pulse signals phase portraits

 

V.V. Boronoev, V.D. Ompokov

 

Institute of Physical Materials Science of the RAS

670047, Russia, Ulan-Ude, Sakhyanovoy 6

 

The paper was received June 14, 2022.

 

Abstract. The article proposes a method of phase representation of dynamic systems for the analysis of pulse waves. A phase portrait is constructed, which is a set of phase trajectories obtained over a certain period of time. The technique of quantitative assessment of the blood ejection intensity in the rapid ejection phase of the cardiac cycle by a pulse wave is substantiated. It establishes quantitative criteria for the blood ejection intensity parameter in chronic and acute forms of diseases. Phase portraits of pulse waves are investigated. It is shown that the contour of the phase portrait mainly reflects the pulse wave amplitude parameters and intensity of the fast and slow ejection phases. The main qualitative regularities of various types of pulse waves are revealed. A quantitative indicator characterizing the geometry of the phase portrait is introduced and experimentally investigated. It allows you to differentiate pulse waves for their compliance with acute or chronic diseases. It is shown that the feature of the phase representation is that it demonstrates the dynamic properties of the system in a compact form. It can be used to evaluate the velocity characteristics of the process, its stationarity.

Key words: pulse wave, phase portraits, cardiac cycle.

Corresponding author: Ompokov Vyacheslav Damdinovich, slvd@mail.ru

 

References

1. Strelkov S.P. Vvedenie v teoriyu kolebanii [Introduction to Oscillation Theory]. St. Petersburg, Lan Publ. 2005. 440 p. (In Russian)

2. Hayashi T. Nelineinye kolebaniya v fizicheskikh sistemakh [Nonlinear oscillations in physical systems]. Мoscow, Mir. 1968. 432 p. (In Russian)

3. Kurakin V.G., Kurakin P.V. Phase portrait of a scattered bunch of charged particles. Zhurnal tekhnicheskoi fiziki [Journal of Technical Physics]. 2018. V.88. №5. P.795-798. https://doi.org/10.21883/JTF.2018.05.45910.2342 (In Russian)

4. Usmanova K.R., Zhuravlev Yu.I., Rudakov K.V., Strijov V.V. Approximation of quasiperiodic signal phase trajectory using directional regression. Vestnik Moskovskogo universiteta [Bulletin of the Moscow University]. 2020. №4. P.40-46. (In Russian)

5. Chikhachev A.S. Dynamics of the Phase Portrait of an Ellipsoidal Charged Bunch in a Nonuniform Magnetic Field. Journal of Communications Technology and Electronics. 2017. V.62. №12. P.1408-1413. https://doi.org/10.1134/S1064226917110031

6. Minina E.N., Fainzilberg L.S. The phase portrait of the single-channel ECG in the evaluation of the functional capacity of the cardiovascular system. Rossiiskii kardiologicheskii zhurnal [Russian journal of cardiology]. 2015. V.20. №12. P.7-13. https://doi.org/10.15829/1560-4071-2015-12-7-13 (In Russian)

7. Basarab M.A., Konnova N.S., Mitrokhin V.N., et al. Diagnosis of cardiovascular system states using methods of nonlinear digital signal processing of doppler blood flow velocity meters. Biomeditsinskaya radioehlektronika [Biomedicine radioengineering]. 2017. №5. P.3-12. (In Russian)

8. Grishutina H.A., Balandin V.A. Model and phase portrait of the T-wave for coronary heart disease. Innovatsionnye tekhnologii v ehlektronike i priborostroenii [Innovative technologies in electronics and instrument engineering]. Moscow. 2020. P.269-272. (In Russian)

9. Goldberger A.L., Rigney D.R., West B.J. Chaos and fractals in human physiology. Sci Am. 1990. №4. https://doi.org/10.1038/scientificamerican0290 42

10. Chun T.Lee, Ling G.Wey. Spectrum analysis of Human Pulse. IEEE Transmission on Biomedical Engineering. 1983. №6. P.348-352.

11. Ompokov V.D., Boronoyev V.V. Time frequency analysis of the blood pressure signals using the Hilbert-Huang transform. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2019. №8. https://doi.org/10.30898/1684-1719.2019.8.4 (In Russian)

12. Boronoev V.V., Ompokov V.D., Pupysheva N.V., Naguslaeva I.V. Variability of the frequency spectrum of a pulse signal under exposure to optical radiation. Proceedings of SPIE. 2021. https://doi.org/10.1117/12.2603256

For citation:

Boronoev V.V., Ompokov V.D. Investigation of the dynamics of pulse signals phase portraits. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №7. https://doi.org/10.30898/1684-1719.2022.7.11 (In Russian)