Time-Frequency Analysis
Time-Frequency Analysis
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DOI：
10.1007/978-981-10-2534-1_7
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
J. Girón-Sierra
中科院分区：
文献类型：
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作者：
J. Girón-Sierra
本章是前一章信号变化的逻辑延续。考虑非平稳信号需要各种各样的分析工具，以突出不同方面的重要性。许多科学和技术活动感兴趣的，如用于医学目的，地震研究，机器维修，天文学等。本章介绍了短时傅立叶变换，Gabor展开，连续小波变换，SAF和Wigner分布。中心部分考虑在更一般的条款信号表示方面，这导致科恩的类和仿射类的分布。最后一节介绍了线性正则变换，以及一些特殊情况，如分数傅里叶变换或菲涅耳变换，以及一些更好地适应某些类别的信号的表示方法，如chirplet变换，重新分配方法，修改的S变换，经验模式分解等。本章以一组说明性示例结束，与健康，自然声音，和地震。
This chapter is a logical continuation of the previous chapter on signal changes. The consideration of nonstationary signals requires an assortment of analysis tools, to highlight different aspects of importance. Many scientific and technical activities are interested on such, for medical purposes, for earthquake study, for machine maintenance, for astronomy, etc. The chapter introduces the short-time Fourier transform, the Gabor expansion, the continuous wavelet transform, the SAF and the Wigner distribution. The central sections consider in more general terms signal representation aspects, which lead to the Cohen’s class and the affine class of distributions. The final sections introduce the linear canonical transformation, with a number of particular cases like the fractional Fourier transform or the Fresnel transform, and some representation methods that adapt better for some classes of signals, like the chirplet transform, the reassignment method, the modified S-transform, the empirical mode decomposition, etc. The chapter ends with a set of illustrative examples, related to health, nature sounds, and Earthquakes.