Improving the readability of time-frequency and time-scale representations by the reassignment method
François Auger,Patrick Flandrin +1 more
TLDR
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.Abstract:
In this paper, the use of 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. This method creates a modified version of a representation by moving its values away from where they are computed, so as to produce a better localization of the signal components. We first propose a new formulation of this method, followed by a thorough theoretical study of its characteristics. Its practical use for a large variety of known time-frequency and time-scale distributions is then addressed. Finally, some experimental results are reported to demonstrate the performance of this method. >read more
Citations
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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
Application of the wavelet transform in machine condition monitoring and fault diagnostics: a review with bibliography
Zhike Peng,Fulei Chu +1 more
TL;DR: The application of the wavelet transform for machine fault diagnostics has been developed for last 10 years at a very rapid rate as mentioned in this paper, and a review on all of the literature is certainly not possible.
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A comparison study of improved Hilbert–Huang transform and wavelet transform: Application to fault diagnosis for rolling bearing
TL;DR: In this paper, an improved Hilbert-Huang transform (HHT) was proposed for rolling bearing fault detection. And the improved HHT's performance was compared with that of the wavelet-based scalogram through experimental case studies.
Journal ArticleDOI
Recent advances in time–frequency analysis methods for machinery fault diagnosis: A review with application examples
TL;DR: A systematic review of over 20 major time-frequency analysis methods reported in more than 100 representative articles published since 1990 can be found in this article, where their fundamental principles, advantages and disadvantages, and applications to fault diagnosis of machinery have been examined.
Journal ArticleDOI
Time--frequency feature representation using energy concentration: An overview of recent advances
TL;DR: Time-frequency domain signal processing using energy concentration as a feature is a very powerful tool and has been utilized in numerous applications and the expectation is that further research and applications of these algorithms will flourish in the near future.
References
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The wavelet transform, time-frequency localization and signal analysis
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