The DOI matches its Crossref record; 51 of the 51 references it cites were found in a registry or an index.
An Overview of Wavelet Based Multiresolution Analyses
Abstract
In this paper an overview of wavelet based multiresolution analyses is presented. First, the continuous wavelet transform in its simplest form is discussed. Then, the definition of a multiresolution analysis is given and how wavelets fit into it is shown. The authors take a closer look at orthogonal, biorthogonal and semiorthogonal wavelets. The fast wavelet transform, wavelets on an interval, multidimensional wavelets and wavelet packets are discussed. Several examples of wavelet families are introduced and compared. Finally, the essentials of two major applications are outlined: data compression and compression of linear operators.
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Cites
A theory for multiresolution signal decomposition: the wavelet representation
Mallat, S. G. (1989) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.192463 · Cited by 21,372
Ideal spatial adaptation by wavelet shrinkage
Donoho, D. L., & Johnstone, I. M. (1994) · Biometrika · doi:10.1093/biomet/81.3.425 · Cited by 8,760
Orthonormal bases of compactly supported wavelets
Daubechies, I. (1988) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160410705 · Cited by 8,190
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
Chui, C. K., & Heil, C. (1992) · Computers in Physics · doi:10.1063/1.4823126 · Cited by 4,732
Adapting to Unknown Smoothness via Wavelet Shrinkage
Donoho, D. L., & Johnstone, I. M. (1995) · Journal of the American Statistical Association · doi:10.1080/01621459.1995.10476626 · Cited by 4,630
Singularity detection and processing with wavelets
Mallat, S., & Hwang, W. L. (1992) · IEEE Transactions on Information Theory · doi:10.1109/18.119727 · Cited by 3,863
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
Grossmann, A., & Morlet, J. (1984) · SIAM Journal on Mathematical Analysis · doi:10.1137/0515056 · Cited by 3,624
Characterization of signals from multiscale edges
Mallat, S., & Zhong, S. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.142909 · Cited by 3,200
Entropy-based algorithms for best basis selection
Coifman, R. R., & Wickerhauser, M. V. (1992) · IEEE Transactions on Information Theory · doi:10.1109/18.119732 · Cited by 3,188
Cited by
Wavelet methods for time series analysis
(2001) · Choice Reviews Online · doi:10.5860/choice.38-4508 · Cited by 2,574
Recent advances in wavelet analyses: Part 1. A review of concepts
Labat, D. (2005) · Journal of Hydrology · doi:10.1016/j.jhydrol.2005.04.003 · Cited by 623
Wavelet Thresholding via A Bayesian Approach
Abramovich, F., Sapatinas, T., & Silverman, B. W. (1998) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00151 · Cited by 548
Synopses for Massive Data: Samples, Histograms, Wavelets, Sketches
Cormode, G., Garofalakis, M., Haas, P. J., & Jermaine, C. (2011) · Foundations and Trends in Databases · doi:10.1561/1900000004 · Cited by 468
Load Forecasting Techniques for Power System: Research Challenges and Survey
Ahmad, N., Ghadi, Y., Adnan, M., & Ali, M. (2022) · IEEE Access · doi:10.1109/access.2022.3187839 · Cited by 323
Metadata
- Authors
- Jawerth, B., & Sweldens, W.
- Venue
- SIAM Review
- Published
- 1994-09
- Volume
- 36
- Issue
- 3
- Pages
- 377-412
- ISSN
- 0036-1445 (ISSN-L)
- 1095-7200
- OpenAlex
- W2038122417
- Cited by
- 517
- References
- 51
- FWCI
- 45.60
- 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).
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