短时傅里叶变换
时频分析
计算机科学
脉冲(物理)
傅里叶变换
财产(哲学)
算法
瞬态(计算机编程)
瞬时相位
脉冲响应
信号处理
信号(编程语言)
语音识别
数学
傅里叶分析
数字信号处理
计算机视觉
数学分析
物理
哲学
滤波器(信号处理)
认识论
量子力学
计算机硬件
操作系统
程序设计语言
作者
Haoran Dong,Gang Yu,Yueyang Li
标识
DOI:10.1016/j.ymssp.2022.109190
摘要
Transient-extracting transform (TET) and time-reassigned synchrosqueezing transform (TSST) developed under the framework of short-time Fourier transform (STFT) can effectively enhance the time–frequency (TF) resolution of nonstationary signal composed of multicomponent with impulse-like components. Nevertheless, the TET and TSST methods lack relevant theoretical support to ensure their practical application. In this paper, we supplement the theoretical analysis of these two methods and provide a new view to compare them. We first review the original definitions of TET and TSST proposed in the previous literatures. Then, we demonstrate the performance and properties of TSST and TET in detail, e.g., group delay (GD) approximation error, reconstruction error and boundary analysis, extraction principle of TET, and property derivation. Finally, the performance of TET and TSST is further compared in the analysis of the numerical and real signals. Through complete theoretical and property analysis, the application of TET and TSST in reality can be largely enhanced.
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