Open AccessФлуктуационный анализ динамики систем с меняющимися во времени характеристиками
Author(s) -
О.Н. Павлова,
Andrey N. Pavlov
Publication year - 2021
Publication title -
pisʹma v žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-7471
pISSN - 0320-0116
DOI - 10.21883/pjtf.2021.09.50910.18653
Subject(s) - sensitivity (control systems) , scaling , stability (learning theory) , piecewise linear function , exponent , standard deviation , mathematics , computer science , statistical physics , algorithm , statistics , mathematical analysis , physics , machine learning , linguistics , philosophy , geometry , electronic engineering , engineering
Improvement of the method of fluctuation analysis is performed, which includes taking into account the statistics of local standard deviations of the signal profile from piecewise linear approximation of the trend. It is shown that the proposed approach makes it possible to reduce the sensitivity of the method to single artifacts and increase the stability of the algorithm for computing the scaling exponent, which contributes to the wider use of the modified fluctuation analysis for solving problems of diagnosing complex processes in the dynamics of systems with time-varying characteristics.