The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations
Open accessAbstract
This paper considers the analysis of multicomponent signals, defined as superpositions of real or complex modulated waves. It introduces two new post-transformations for the short-time Fourier transform that achieve a compact time-frequency representation while allowing for the separation and the reconstruction of the modes. These two new transformations thus benefit from both the synchrosqueezing transform (which allows for reconstruction) and the reassignment method (which achieves a compact time-frequency representation). Numerical experiments on real and synthetic signals demonstrate the efficiency of these new transformations, and illustrate their differences.
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Cites
Huang, N. E., Shen, Z., Long, S. R., Wu, M. C., Shih, H. H., Zheng, Q., Yen, N.-C., Tung, C. C., & Liu, H. H. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0193 · Cited by 23,564
The wavelet transform, time-frequency localization and signal analysis
Daubechies, I. (1990) · IEEE Transactions on Information Theory · doi:10.1109/18.57199 · Cited by 6,483
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
Grossmann, A., & Morlet, J. (1984) · SIAM Journal on Mathematical Analysis · doi:10.1137/0515056 · Cited by 3,624
Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool
Daubechies, I., Lu, J., & Wu, H.-T. (2011) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2010.08.002 · Cited by 2,489
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On empirical mode decomposition and its algorithms
Rilling, G., Flandrin, P., & Gonçalvès, P. (2003) · Cited by 1,402
Time-Frequency/Time-Scale Analysis
(1999) · Wavelet analysis and its applications · doi:10.1016/s1874-608x(99)x8001-0 · Cited by 899
Time-frequency analysis: theory and applications
Cohen, L. W. (1995) · Prentice-Hall, Inc eBooks · Cited by 705
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
- Oberlin, T., Meignen, S., & Perrier, V.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2015-03
- Volume
- 63
- Issue
- 5
- Pages
- 1335-1344
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W1980721798
- Cited by
- 531
- References
- 16
- FWCI
- 58.47
- Type
- journal article
- Language
- en
- Open access
- green
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- Oberlin, T., Meignen, S., & Perrier, V. (2015). Second-Order Synchrosqueezing Transform or Invertible Reassignment? Towards Ideal Time-Frequency Representations. IEEE Transactions on Signal Processing. https://doi.org/10.1109/tsp.2015.2391077
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