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Proceedings Paper

Wavelets defined over finite fields and the discrete wavelet transform
Author(s): Carolyn Pfeffer Johnston
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Paper Abstract

We describe the general finite field wavelet transform, which operates on vectors of length pk for p a prime, k >= 0. This transform allows one to choose not only the analyzing wavelet, but the wavelet `machine' by which a tight frame is produced from the analyzing wavelet. We discuss an implementation of the transform, which uses an algorithm that reveals the multiresolution character of the transform. Finally, its applications to denoising and cryptography are discussed.

Paper Details

Date Published: 6 April 1995
PDF: 8 pages
Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); doi: 10.1117/12.205450
Show Author Affiliations
Carolyn Pfeffer Johnston, Florida Atlantic Univ. (United States)

Published in SPIE Proceedings Vol. 2491:
Wavelet Applications II
Harold H. Szu, Editor(s)

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