The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Generalized Morse Wavelets as a Superfamily of Analytic Wavelets
Open accessAbstract
The generalized Morse wavelets are shown to constitute a superfamily that essentially encompasses all other commonly used analytic wavelets, subsuming eight apparently distinct types of analysis filters into a single common form. This superfamily of analytic wavelets provides a framework for systematically investigating wavelet suitability for various applications. In addition to a parameter controlling the time-domain duration or Fourier-domain bandwidth, the wavelet shape with fixed bandwidth may be modified by varying a second parameter, called γ. For integer values of γ, the most symmetric, most nearly Gaussian, and generally most time-frequency concentrated member of the superfamily is found to occur for γ = 3. These wavelets, known as “Airy wavelets,” capture the essential idea of popular Morlet wavelet, while avoiding its deficiencies. They may be recommended as an ideal starting point for general purpose use.
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Cites
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Self-citationHigher-Order Properties of Analytic Wavelets
Lilly, J. M., & Olhede, S. C. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2008.2007607 · Cited by 346
Self-citationZhang, M. Y., Russell, J. R., & Tsay, R. S. (2001) · Journal of Econometrics · doi:10.1016/s0304-4076(01)00063-x · Cited by 319
On the Analytic Wavelet Transform
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Self-citationTime-frequency localisation operators-a geometric phase space approach: II. The use of dilations
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Reindl, V., Gerloff, C., Scharke, W., & Konrad, K. (2018) · NeuroImage · doi:10.1016/j.neuroimage.2018.05.060 · Cited by 411
Feasibility of continuous fever monitoring using wearable devices
Smarr, B. L., Aschbacher, K., Fisher, S. M., Chowdhary, A., Dilchert, S., Puldon, K., Rao, A., Hecht, F. M., & Mason, A. E. (2020) · Scientific Reports · doi:10.1038/s41598-020-78355-6 · Cited by 133
Smarr, B. L., Zucker, I., & Kriegsfeld, L. J. (2016) · PLOS ONE · doi:10.1371/journal.pone.0160127 · Cited by 54
Metadata
- Authors
- Lilly, J. M., & Olhede, S. C.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2012-11
- Volume
- 60
- Issue
- 11
- Pages
- 6036-6041
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W2166385084
- Cited by
- 508
- References
- 12
- FWCI
- 8.59
- Type
- journal article
- Language
- en
- Open access
- green
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