Optimizing time-frequency resolution of orthonormal wavelets
- 1 January 1991
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 15206149,p. 2029-2032 vol.3
- https://doi.org/10.1109/icassp.1991.150802
Abstract
The authors consider the time and the frequency resolutions associated with the wavelet transform since these resolution properties are essential to evaluate a time-frequency analysis tool. A method is introduced to measure the resolution properties of the orthonormal wavelets. The authors exploit the degree of freedom in the construction of compactly supported wavelets in order to find the ones which yield the highest time-frequency concentration. It is shown that some of these orthonormal wavelets get close to the Heisenberg limit, which makes the corresponding wavelet transform particularly appropriate to signal analysis.Keywords
This publication has 3 references indexed in Scilit:
- Orthonormal Bases of Compactly Supported Wavelets II. Variations on a ThemeSIAM Journal on Mathematical Analysis, 1993
- The wavelet transform, time-frequency localization and signal analysisIEEE Transactions on Information Theory, 1990
- Orthonormal bases of compactly supported waveletsCommunications on Pure and Applied Mathematics, 1988