Minimum duration-bandwidth discrete-time wavelets
Abstract
A class of minimum duration-bandwidth product, discrete- time, orthonormal wavelets is formulated using the discrete- time wavelet transform via the (L+1)-channel, perfect- reconstruction, discrete-time filter bank structure and a duration-bandwidth product measure averaged over the filterbank channels. We show a significant improvement in duration-bandwidth product over the discrete-time (filter- bank) versions of Daubechies's minimum-phase and least- asymmetric wavelets in our examples for filter lengths 8 <EQ N <EQ 22. These wavelets are expected to perform better than other classes of wavelets in applications where small duration-bandwidth product is important.
- Publication:
-
Optical Engineering
- Pub Date:
- July 1996
- DOI:
- 10.1117/1.600630
- Bibcode:
- 1996OptEn..35.2075M