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Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
Open accessAbstract
The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit using stationary phase approximations are investigated. In particular, it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, such as frequency and amplitude modulation laws. Applications to spectral line estimations and matched filtering are briefly discussed.>
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Cites
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
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Lilly, J. M., & Olhede, S. C. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.2007607 · Cited by 346
Multiridge detection and time-frequency reconstruction
Carmona, R. A., Hwang, W. L., & Torresani, B. (1999) · IEEE Transactions on Signal Processing · doi:10.1109/78.740131 · Cited by 269
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Metadata
- Authors
- Delprat, N., Escudie, B., Guillemain, P., Kronland-Martinet, R., Tchamitchian, P., & Torresani, B.
- Venue
- IEEE Transactions on Information Theory
- Published
- 1992-03
- Volume
- 38
- Issue
- 2
- Pages
- 644-664
- ISSN
- 0018-9448 (ISSN-L)
- 1557-9654
- OpenAlex
- W2116966666
- Cited by
- 590
- References
- 1
- FWCI
- 10.00
- Type
- journal article
- Language
- en
- Open access
- green
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- Delprat, N., Escudie, B., Guillemain, P., Kronland-Martinet, R., Tchamitchian, P., & Torresani, B. (1992). Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.119728
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