Relationship Between the Structure Function of Random Time Series and the Discrete Chebyshev Spectrumстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 4 июня 2021 г.
Аннотация:The technique of Chebyshev polynomials of discrete variable is used to analyze a random timeseries. The main result of the work is a new theoretical relationship between the structurefunction and the discrete Chebyshev spectrum. The relationship is used for the trend-resistantstructural analysis of electrochemical noise of corrosion process and for the trend-resistantstructural analysis of electronic noise of measuring instrument. Not only the structure functionof the analyzed random series, but also the structure function of trend is estimated. Thetheoretical relationship between the structure function and the discrete Chebyshev spectrumcan be used for the trend-resistant structural analysis of random time series of any nature.