Wavelets and Dilation Equations: A Brief Introduction
- 1 December 1989
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Review
- Vol. 31 (4) , 614-627
- https://doi.org/10.1137/1031128
Abstract
Summary:Discrete wavelets are viewed as linear algebraic transforms given by banded orthogonal matrices which can be built up from small matrix blocks satisfying certain conditions. A generalization of the finite support Daubechies wavelets is discussed and some special cases promising more rapid signal reduction are derivedKeywords
This publication has 7 references indexed in Scilit:
- Continuous and Discrete Wavelet TransformsSIAM Review, 1989
- A theory for multiresolution signal decomposition: the wavelet representationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1989
- Orthonormal Bases of Wavelets with Finite Support — Connection with Discrete FiltersPublished by Springer Nature ,1989
- Orthonormal bases of compactly supported waveletsCommunications on Pure and Applied Mathematics, 1988
- Cycle-octave and related transforms in seismic signal analysisGeoexploration, 1984
- Decomposition of Hardy Functions into Square Integrable Wavelets of Constant ShapeSIAM Journal on Mathematical Analysis, 1984
- Theory of edge detectionProceedings of the Royal Society of London. B. Biological Sciences, 1980