{"title":"小波变换在分析空气动力学实验中的非稳态过程中的应用","authors":"O. E. Kirillov","doi":"10.1134/s1995080224602248","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The article provides the technique and examples of using the wavelet transform to analyze time series with a non-stationary spectrum obtained in aerodynamic experiments. The peculiarity and novelty of this technique is the definition and use of the concept of wavelet energy as a simpler and more visual function of time, which allows analyzing the evolution of signal energy. As an example, the results of a study of the effect of anomalous passage of a high-frequency signal along a long pneumatic line are presented.</p>","PeriodicalId":46135,"journal":{"name":"Lobachevskii Journal of Mathematics","volume":"9 6 1","pages":""},"PeriodicalIF":0.8000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of the Wavelet Transform in the Analysis of Non-stationary Processes in Aerodynamic Experiments\",\"authors\":\"O. E. Kirillov\",\"doi\":\"10.1134/s1995080224602248\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p>The article provides the technique and examples of using the wavelet transform to analyze time series with a non-stationary spectrum obtained in aerodynamic experiments. The peculiarity and novelty of this technique is the definition and use of the concept of wavelet energy as a simpler and more visual function of time, which allows analyzing the evolution of signal energy. As an example, the results of a study of the effect of anomalous passage of a high-frequency signal along a long pneumatic line are presented.</p>\",\"PeriodicalId\":46135,\"journal\":{\"name\":\"Lobachevskii Journal of Mathematics\",\"volume\":\"9 6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Lobachevskii Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1995080224602248\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Lobachevskii Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1995080224602248","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Application of the Wavelet Transform in the Analysis of Non-stationary Processes in Aerodynamic Experiments
Abstract
The article provides the technique and examples of using the wavelet transform to analyze time series with a non-stationary spectrum obtained in aerodynamic experiments. The peculiarity and novelty of this technique is the definition and use of the concept of wavelet energy as a simpler and more visual function of time, which allows analyzing the evolution of signal energy. As an example, the results of a study of the effect of anomalous passage of a high-frequency signal along a long pneumatic line are presented.
期刊介绍：
Lobachevskii Journal of Mathematics is an international peer reviewed journal published in collaboration with the Russian Academy of Sciences and Kazan Federal University. The journal covers mathematical topics associated with the name of famous Russian mathematician Nikolai Lobachevsky (Lobachevskii). The journal publishes research articles on geometry and topology, algebra, complex analysis, functional analysis, differential equations and mathematical physics, probability theory and stochastic processes, computational mathematics, mathematical modeling, numerical methods and program complexes, computer science, optimal control, and theory of algorithms as well as applied mathematics. The journal welcomes manuscripts from all countries in the English language.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
