Open AccessJournal Article
Synchroextracting Transform
Gang Yu,Mingjin Yu,Chuanyan Xu +2 more
TLDR
The main idea of SET is to only retain the TF information of STFT results most related to time-varying features of the signal and to remove most smeared TF energy, such that the energy concentration of the novel TF representation can be enhanced greatly.Abstract:
In this paper, we introduce a new time-frequency (TF) analysis (TFA) method to study the trend and instantaneous frequency (IF) of nonlinear and nonstationary data. Our proposed method is termed the synchroextracting transform (SET), which belongs to a postprocessing procedure of the short-time Fourier transform (STFT). Compared with classical TFA methods, the proposed method can generate a more energy concentrated TF representation and allow for signal reconstruction. The proposed SET method is inspired by the recently proposed synchrosqueezing transform (SST) and the theory of the ideal TFA. To analyze a signal, it is important to obtain the time-varying information, such as the IF and instantaneous amplitude. The SST is to squeeze all TF coefficients into the IF trajectory. Differ from the squeezing manner of SST, the main idea of SET is to only retain the TF information of STFT results most related to time-varying features of the signal and to remove most smeared TF energy, such that the energy concentration of the novel TF representation can be enhanced greatly. Numerical and real-world signals are employed to validate the effectiveness of the SET method.read more
Citations
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Synchroextracting chirplet transform-based epileptic seizures detection using EEG
TL;DR: In this paper, a novel epilepsy classification model is proposed based on the time-frequency (TF) analysis method named synchroextracting chirplet transform (SECT), where the energy concentrated TF representation of the signal is first obtained benefit by the introduced parameter chirp rate.
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Two-Step Adaptive Chirp Mode Decomposition for Time-Varying Bearing Fault Diagnosis
Qi Liu,Yanxue Wang,Xuan Wang +2 more
TL;DR: In this article, a two-step adaptive chirp mode decomposition (ACMD) is proposed for fault diagnosis of rolling bearing under variable speeds, where the recursive scheme without an iterative algorithm is only used to decompose signals first, which can determine the number of components.
Journal ArticleDOI
Matching Linear Chirplet Strategy-Based Synchroextracting Transform and Its Application to Rotating Machinery Fault Diagnosis
TL;DR: A matching linear chirplet based synchroextracting transform to address the problem of smearing problems of time-frequency representations and enhanced energy concentration level and sharpened instantaneous frequency ridges is proposed.
References
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Journal ArticleDOI
The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis
Norden E. Huang,Zheng Shen,Steven R. Long,Man-Li C. Wu,Hsing H. Shih,Quanan Zheng,Nai-Chyuan Yen,C. C. Tung,Henry H. Liu +8 more
TL;DR: In this paper, a new method for analysing nonlinear and nonstationary data has been developed, which is the key part of the method is the empirical mode decomposition method with which any complicated data set can be decoded.
Journal ArticleDOI
Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
TL;DR: This paper introduces a precise mathematical definition for a class of functions that can be viewed as a superposition of a reasonably small number of approximately harmonic components, and proves that the method does indeed succeed in decomposing arbitrary functions in this class.
Journal ArticleDOI
Improving the readability of time-frequency and time-scale representations by the reassignment method
François Auger,Patrick Flandrin +1 more
TL;DR: The reassignment method, first applied by Kodera, Gendrin, and de Villedary (1976) to the spectrogram, is generalized to any bilinear time-frequency or time-scale distribution.
Journal ArticleDOI
Joint time-frequency analysis
Shie Qian,Dapang Chen +1 more
TL;DR: This article introduces the so-called model-based (or parametric) time-frequency analysis method, and introduces the basic concepts and well-tested algorithms for joint time- frequencies analysis.
Journal ArticleDOI
Time-Frequency Reassignment and Synchrosqueezing: An Overview
François Auger,Patrick Flandrin,Yu-Ting Lin,Stephen McLaughlin,Sylvain Meignen,Thomas Oberlin,Hau-Tieng Wu +6 more
TL;DR: This article provides a general overview of time-frequency (T-F) reassignment and synchrosqueezing techniques applied to multicomponent signals, covering the theoretical background and applications.
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