Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series

Purpose of this work is to of the research – Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method...

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Main Authors: Kurbako, Aleksandr Vasilievich, Kulminskiy, Danil Dmitrievich, Borovkova, Ekaterina Igorevna, Kiselev, Anton Robertovich, Skazkina, Victoria Viktorovna, Ponomarenko, Vladimir Ivanovich, Prokhorov, Mihail Dmitrievich, Bezruchko, Boris Petrovich, Gridnev, Vladimir Ivanovich, Karavaev, Anatolij Sergeevich
Format: Article
Language:English
Published: Saratov State University 2021-11-01
Series:Известия высших учебных заведений: Прикладная нелинейная динамика
Subjects:
Online Access:https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2021/11/kurbako_et_al_892-904.pdf
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author Kurbako, Aleksandr Vasilievich
Kulminskiy, Danil Dmitrievich
Borovkova, Ekaterina Igorevna
Kiselev, Anton Robertovich
Skazkina, Victoria Viktorovna
Ponomarenko, Vladimir Ivanovich
Prokhorov, Mihail Dmitrievich
Bezruchko, Boris Petrovich
Gridnev, Vladimir Ivanovich
Karavaev, Anatolij Sergeevich
author_facet Kurbako, Aleksandr Vasilievich
Kulminskiy, Danil Dmitrievich
Borovkova, Ekaterina Igorevna
Kiselev, Anton Robertovich
Skazkina, Victoria Viktorovna
Ponomarenko, Vladimir Ivanovich
Prokhorov, Mihail Dmitrievich
Bezruchko, Boris Petrovich
Gridnev, Vladimir Ivanovich
Karavaev, Anatolij Sergeevich
author_sort Kurbako, Aleksandr Vasilievich
collection DOAJ
description Purpose of this work is to of the research – Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method with the well-known method for diagnostics of loop synchronization, which has proven itself in the analysis of experimental data. Methods.The paper compares the probabilities of the appearance of an error of the second kind of the developed modified method for diagnostics of phase synchronization with the probabilities of occurrence of an error of the second kind of the known method at equal values of sensitivity. When comparing the methods, generated test time realizations with a priori known boundaries of the phase synchronization sections are used, which repeat the statistical properties of the experimental data. It also compares the computational complexity of the two methods. Results. A modification of the method for diagnosing phase synchronization of autonomic regulation circuits in real time is proposed. It is shown that the proposed modification provides similar values of sensitivity and probability of appearance of errors of the second kind as the previously proposed approach. The developed method has less computational complexity than the previously proposed method. The values of free parameters corresponding to different values of sensitivity and probability of appearance of errors of the second kind are obtained. Conclusion. The area of application of the developed method with modification is formulated. The low computational complexity of the proposed method, as well as the possibility of switching devices to integer computations in calculations, makes it possible to use it for wearable registrations performing calculations in real time, based on small-sized low-power processors that do not support floating-point arithmetic operations.
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spelling doaj.art-dd67b1a5495d4df6b1837597639f69ea2022-12-21T19:20:02ZengSaratov State UniversityИзвестия высших учебных заведений: Прикладная нелинейная динамика0869-66322542-19052021-11-0129689290410.18500/0869-6632-2021-29-6-892-904Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time seriesKurbako, Aleksandr Vasilievich0Kulminskiy, Danil Dmitrievich1Borovkova, Ekaterina Igorevna2Kiselev, Anton Robertovich3Skazkina, Victoria Viktorovna4Ponomarenko, Vladimir Ivanovich5Prokhorov, Mihail Dmitrievich6Bezruchko, Boris Petrovich7Gridnev, Vladimir Ivanovich8Karavaev, Anatolij Sergeevich9Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaSaratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences, ul. Zelyonaya, 38, Saratov, 410019, RussiaSaratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaSaratov research Institute of Cardiology, 410028, Saratov, Chernyshevskogo str., 141Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaSaratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences, ul. Zelyonaya, 38, Saratov, 410019, RussiaSaratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences, ul. Zelyonaya, 38, Saratov, 410019, RussiaSaratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaSaratov research Institute of Cardiology, 410028, Saratov, Chernyshevskogo str., 141Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, RussiaPurpose of this work is to of the research – Increasing the sensitivity of a method for diagnosing phase synchronization of autogenerators based on their non-stationary time series in real time, and also a comparison of the statistical properties of the proposed modification of the method with the well-known method for diagnostics of loop synchronization, which has proven itself in the analysis of experimental data. Methods.The paper compares the probabilities of the appearance of an error of the second kind of the developed modified method for diagnostics of phase synchronization with the probabilities of occurrence of an error of the second kind of the known method at equal values of sensitivity. When comparing the methods, generated test time realizations with a priori known boundaries of the phase synchronization sections are used, which repeat the statistical properties of the experimental data. It also compares the computational complexity of the two methods. Results. A modification of the method for diagnosing phase synchronization of autonomic regulation circuits in real time is proposed. It is shown that the proposed modification provides similar values of sensitivity and probability of appearance of errors of the second kind as the previously proposed approach. The developed method has less computational complexity than the previously proposed method. The values of free parameters corresponding to different values of sensitivity and probability of appearance of errors of the second kind are obtained. Conclusion. The area of application of the developed method with modification is formulated. The low computational complexity of the proposed method, as well as the possibility of switching devices to integer computations in calculations, makes it possible to use it for wearable registrations performing calculations in real time, based on small-sized low-power processors that do not support floating-point arithmetic operations.https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2021/11/kurbako_et_al_892-904.pdfphase synchronizationsensitivityspecificityoscillatortime seriesnonstationarity
spellingShingle Kurbako, Aleksandr Vasilievich
Kulminskiy, Danil Dmitrievich
Borovkova, Ekaterina Igorevna
Kiselev, Anton Robertovich
Skazkina, Victoria Viktorovna
Ponomarenko, Vladimir Ivanovich
Prokhorov, Mihail Dmitrievich
Bezruchko, Boris Petrovich
Gridnev, Vladimir Ivanovich
Karavaev, Anatolij Sergeevich
Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
Известия высших учебных заведений: Прикладная нелинейная динамика
phase synchronization
sensitivity
specificity
oscillator
time series
nonstationarity
title Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
title_full Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
title_fullStr Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
title_full_unstemmed Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
title_short Increasing the sensitivity of real-time method for diagnostic of autogenerators phase synchronization based on their non-stationary time series
title_sort increasing the sensitivity of real time method for diagnostic of autogenerators phase synchronization based on their non stationary time series
topic phase synchronization
sensitivity
specificity
oscillator
time series
nonstationarity
url https://andjournal.sgu.ru/sites/andjournal.sgu.ru/files/text-pdf/2021/11/kurbako_et_al_892-904.pdf
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