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
More filters
Journal ArticleDOI
Wayside acoustic detection of train bearings based on an enhanced spline-kernelled chirplet transform
TL;DR: A novel wayside acoustic detection scheme using an enhanced spline-kernelled chirplet transform (ESCT) method that requires comparatively little prior information and is easily applied to existing detection systems is proposed.
Journal ArticleDOI
Reassigned second-order Synchrosqueezing Transform and its application to wind turbine fault diagnosis
TL;DR: The analysis result obtained by comparing different TF methods shows that the method put forward by this paper can effectively extract time-varying fault characteristics under non-stationary condition.
Journal ArticleDOI
Velocity synchronous bilinear distribution for planetary gearbox fault diagnosis under non-stationary conditions
TL;DR: A time-frequency method, named velocity synchronous bilinear distribution (VSBD), for planetary gearbox fault diagnosis under non-stationary conditions that is free from smear effect and has improved time- frequencies resolution in comparison with other existing time- Frequency methods.
Journal ArticleDOI
Wavelet-based Synchroextracting Transform: An effective TFA tool for machinery fault diagnosis
TL;DR: A novel wavelet-based TFA approach, which is named wave let-based synchroextracting transform (WSET), which acts as a TF post-processing technology and is capable of enhancing the concentration of TF representation.
Journal ArticleDOI
High-order synchroextracting transform for characterizing signals with strong AM-FM features and its application in mechanical fault diagnosis
TL;DR: In this article , a novel time-frequency analysis (TFA) technique termed High-Order Synchroextracting Transform (HSET) is proposed to better characterize the changing dynamics of multi-component signals with strong AM-FM components.
References
More filters
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.
Related Papers (5)
Improving the readability of time-frequency and time-scale representations by the reassignment method
François Auger,Patrick Flandrin +1 more