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Proceedings Paper

Simplified equations to generate wavelets of arbitrary order of regularity
Author(s): Addison B. Jump; Barry G. Sherlock
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Paper Abstract

This research deals with finite length, perfect reconstruction two-channel orthonormal wavelet filters. We have previously derived equations that allow the user to set the regularity of these filters to any value between one and the maximum possible. These equations were extremely involved and intricate. We derive identities that greatly simplify the equations and reduced computational complexity. We indicate how the equations may be used to find the optimum filter for a particular application over a pool of filters of regularity set by the user. We advance conjectures as to the theoretical significant of the structure of these equations and discuss numerical solutions.

Paper Details

Date Published: 26 March 2001
PDF: 12 pages
Proc. SPIE 4391, Wavelet Applications VIII, (26 March 2001); doi: 10.1117/12.421220
Show Author Affiliations
Addison B. Jump, Naval Surface Warfare Ctr. (United States)
Barry G. Sherlock, Univ. of North Carolina/Charlotte (United States)

Published in SPIE Proceedings Vol. 4391:
Wavelet Applications VIII
Harold H. Szu; David L. Donoho; Adolf W. Lohmann; William J. Campbell; James R. Buss, Editor(s)

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