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Localization of the complex spectrum: the S transform
Abstract
The S transform, which is introduced in the present correspondence, is an extension of the ideas of the continuous wavelet transform (CWT) and is based on a moving and scalable localizing Gaussian window. It is shown to have some desirable characteristics that are absent in the continuous wavelet transform. The S transform is unique in that it provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum. These advantages of the S transform are due to the fact that the modulating sinusoids are fixed with respect to the time axis, whereas the localizing scalable Gaussian window dilates and translates.
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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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Metadata
- Authors
- Stockwell, R. G., Mansinha, L., & Lowe, R. P.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 1996-04
- Volume
- 44
- Issue
- 4
- Pages
- 998-1001
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W1986754283
- Cited by
- 3,486
- References
- 1
- FWCI
- 6.31
- Type
- journal article
- Language
- en
- Open access
- closed
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- Stockwell, R. G., Mansinha, L., & Lowe, R. P. (1996). Localization of the complex spectrum: the S transform. IEEE Transactions on Signal Processing. https://doi.org/10.1109/78.492555
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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