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Optical Engineering

Minimum duration-bandwidth discrete-time wavelets
Author(s): Joel M. Morris; Hui Xie
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Paper Abstract

A class of minimum duration-bandwidth product, discretetime, orthonormal wavelets is formulated using the discrete-time wavelet transform (DTWT) 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 (filterbank) versions of Daubechies’s minimum-phase and least-asymmetric wavelets in our examples for filter lengths 8?N?22. These wavelets are expected to perform better than other classes of wavelets in applications where small duration-bandwidth product is important.

Paper Details

Date Published: 1 July 1996
PDF: 4 pages
Opt. Eng. 35(7) doi: 10.1117/1.600630
Published in: Optical Engineering Volume 35, Issue 7
Show Author Affiliations
Joel M. Morris, Univ. of Maryland/Baltimore County (United States)
Hui Xie, Univ. of Maryland/Baltimore (United States)

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