The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Synchrosqueezing-Based Recovery of Instantaneous Frequency from Nonuniform Samples
Open accessAbstract
We propose a new approach for studying the notion of the instantaneous frequency of a signal. We build on ideas from the Synchrosqueezing theory of Daubechies, Lu, and Wu [Appl. Comput. Harmonic Anal., 30 (2010), pp. 243–261] and consider a variant of Synchrosqueezing, based on the short-time Fourier transform, to precisely define the instantaneous frequencies of a multicomponent AM-FM signal. We describe an algorithm to recover these instantaneous frequencies from the uniform or nonuniform samples of the signal and show that our method is robust to noise. We also consider an alternative approach based on the conventional, Hilbert transform-based notion of instantaneous frequency to compare to our new method. We use these methods on several test cases and apply our results to a signal analysis problem in electrocardiography.
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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
Self-citationA class of nonharmonic Fourier series
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Nonuniform Sampling and Reconstruction in Shift-Invariant Spaces
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Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
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Cited by
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
Self-citationDamage detection of nonlinear structures with analytical mode decomposition and Hilbert transform
Wang, Z.-C., Geng, D., Ren, W.-X., Chen, G.-D., & Zhang, G.-F. (2015) · Smart Structures and Systems · doi:10.12989/sss.2015.15.1.001 · Cited by 12
Metadata
- Authors
- Thakur, G., & Wu, H.-T.
- Venue
- SIAM Journal on Mathematical Analysis
- Published
- 2011-01
- Volume
- 43
- Issue
- 5
- Pages
- 2078-2095
- ISSN
- 0036-1410 (ISSN-L)
- 1095-7154
- OpenAlex
- W2061441140
- Cited by
- 388
- References
- 9
- FWCI
- 11.13
- Type
- journal article
- Language
- en
- Open access
- green
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