The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Wavelet Transform With Tunable Q-Factor
Abstract
This paper describes a discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the signal to which it is applied. The transform is based on a real-valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. Two forms of the transform are presented. The first form is defined for discrete-time signals defined on all of Z. The second form is defined for discrete-time signals of finite-length and can be implemented efficiently with FFTs. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e.g., three to four times overcomplete) being sufficient for the analysis/synthesis functions to be well localized.
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Citations
Cites
Daubechies, I. (1992) · doi:10.1137/1.9781611970104 · Cited by 15,979
Cited by
Chiang, C.-H., Won, S. M., Orsborn, A. L., Yu, K. J., Trumpis, M., Bent, B., Wang, C., Xue, Y., Min, S., Woods, V., et al. (2020) · Science Translational Medicine · doi:10.1126/scitranslmed.aay4682 · Cited by 211
Metadata
- Authors
- Selesnick, I. W.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 2011-08
- Volume
- 59
- Issue
- 8
- Pages
- 3560-3575
- ISSN
- 1053-587X (ISSN-L)
- 1941-0476
- OpenAlex
- W2112797878
- Cited by
- 675
- References
- 1
- FWCI
- 21.20
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
