利用小波的瞬时频率和振幅识别：应用于玻璃结构
Instantaneous frequency and amplitude identification using wavelets: Application to glass structure
摘要：
本文介绍了一种提取快速变化的叠加调幅和调频信号分量的方法。该方法是基于连续小波变换（CWT），并使用一个新的小波，这是一个修改著名的Morlet小波，以允许在高分辨率分析。为了正确解释信号的连续小波变换，通过平稳相位近似，研究了振荡信号连续小波变换的近似解析表达式。这种分析是专门为新的小波和结果被用来构建从信号的变换的信号中的分量的幅度和频率调制的表达式。该方法是一个有代表性的，可变频率的信号作为一个例子进行测试，然后被应用到我们的主题领域感兴趣的功能-结构关联函数的无序材料-立即揭示以前未检测到的功能。
英文摘要：
This paper describes a method for extracting rapidly varying, superimposed amplitude- and frequency-modulated signal components. The method is based upon the continuous wavelet transform (CWT) and uses a new wavelet which is a modification to the well-known Morlet wavelet to allow analysis at high resolution. In order to interpret the CWT of a signal correctly, an approximate analytic expression for the CWT of an oscillatory signal is examined via a stationary-phase approximation. This analysis is specialized for the new wavelet and the results are used to construct expressions for the amplitude and frequency modulations of the components in a signal from the transform of the signal. The method is tested on a representative, variable-frequency signal as an example before being applied to a function of interest in our subject area - a structural correlation function of a disordered material - which immediately reveals previously undetected features.
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