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One or Two Frequencies? The Empirical Mode Decomposition Answers
Open accessAbstract
This paper investigates how the empirical mode decomposition (EMD), a fully data-driven technique recently introduced for decomposing any oscillatory waveform into zero-mean components, behaves in the case of a composite two-tones signal. Essentially two regimes are shown to exist, depending on whether the amplitude ratio of the tones is greater or smaller than unity, and the corresponding resolution properties of the EMD turn out to be in good agreement with intuition and physical interpretation. A refined analysis is provided for quantifying the observed behaviors and theoretical claims are supported by numerical experiments. The analysis is then extended to a nonlinear model where the same two regimes are shown to exist and the resolution properties of the EMD are assessed.
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Cited by
Variational Mode Decomposition
Dragomiretskiy, K., & Zosso, D. (2014) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2013.2288675 · Cited by 9,184
A review on empirical mode decomposition in fault diagnosis of rotating machinery
Lei, Y., Lin, J., He, Z., & Zuo, M. J. (2013) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2012.09.015 · Cited by 1,886
Development of EMD-Based Denoising Methods Inspired by Wavelet Thresholding
Kopsinis, Y., & McLaughlin, S. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2009.2013885 · Cited by 676
Time-Frequency Reassignment and Synchrosqueezing: An Overview
Auger, F., Flandrin, P., Lin, Y.-T., McLaughlin, S., Meignen, S., Oberlin, T., & Wu, H.-T. (2013) · IEEE Signal Processing Magazine · doi:10.1109/msp.2013.2265316 · Cited by 630
Self-citationThakur, G., Brevdo, E., Fučkar, N. S., & Wu, H.-T. (2013) · Signal Processing · doi:10.1016/j.sigpro.2012.11.029 · Cited by 526
Metadata
- Authors
- Rilling, G., & Flandrin, P.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2008-01
- Volume
- 56
- Issue
- 1
- Pages
- 85-95
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W2138402108
- Cited by
- 611
- References
- 0
- FWCI
- 59.85
- Type
- journal article
- Language
- en
- Open access
- green
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- Rilling, G., & Flandrin, P. (2008). One or Two Frequencies? The Empirical Mode Decomposition Answers. IEEE Transactions on Signal Processing. https://doi.org/10.1109/tsp.2007.906771
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
