Application of the Wavelet Transform in the Analysis of Non-stationary Processes in Aerodynamic Experiments

IF 0.8 Q2 MATHEMATICS

Lobachevskii Journal of Mathematics Pub Date : 2024-08-28 DOI:10.1134/s1995080224602248

O. E. Kirillov

引用次数: 0

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.

Abstract Image

查看原文本刊更多论文

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

摘要文章提供了使用小波变换分析空气动力学实验中获得的非稳态频谱时间序列的技术和实例。该技术的特殊性和新颖性在于将小波能量的概念定义为一种更简单、更直观的时间函数，并将其用于分析信号能量的演变。举例来说，本文介绍了对高频信号沿长气动线异常通过的影响进行研究的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Lobachevskii Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

42.90%

发文量

127

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.