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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Instantaneous Rotor Speed Estimation Based on Multisynchrosqueezing Transform Time-Frequency Analysis with Vibration Signals
TL;DR: In this article , a novel method is proposed to estimate the instantaneous speed (IS) of rotor of rotating machinery accurately, which can provide higher TF energy aggregation and provide better working condition monitoring in rotating machinery.
Proceedings ArticleDOI
Wideband Interference Suppression for SAR Based on Synchroextracting Transform
Wenchang Han,Feng Zhou +1 more
TL;DR: In this paper , a method based on synchroextracting transform (SET) was proposed to mitigate the wideband interference (WBI) due to its wide frequency band.
Journal ArticleDOI
An End-to-End Approach for Rigid-body Target Micro-Doppler Analysis based on the Asymmetrical Autoencoding Network
TL;DR: In this article , an end-to-end micro-Doppler analysis method for rigid-body target based on deep learning network is proposed, which can directly separate and extract the micro Doppler curves of multiple scatterers from the target echo data.
Journal ArticleDOI
Improving time–frequency sparsity for enhanced audio source separation in degenerate unmixing estimation technique algorithm
Shahin M. Abdulla,J. Jayakumari +1 more
TL;DR: In this paper , an enhanced strategy has been adopted by combining DUET with adaptive noise cancellation utilising the Dual-Tree Complex Wavelet Transform (DTCWT) as a pre-processor and TF refinement utilizing Synchroextracting Transform (SET) as an post-processor.
DissertationDOI
Velocity Synchronous Approaches for Planetary Gearbox Fault Diagnosis under Non-Stationary Conditions
TL;DR: This paper is intended to provide a history of the field and some of the techniques used, as well as some examples of individual cases, that have been used in the field.
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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