Wavelets defined over finite fields and the discrete wavelet transform

Carolyn Pfeffer Johnston

doi:10.1117/12.205450

6 April 1995 Wavelets defined over finite fields and the discrete wavelet transform

Carolyn Pfeffer Johnston

Proceedings Volume 2491, Wavelet Applications II; (1995) https://doi.org/10.1117/12.205450
Event: SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, 1995, Orlando, FL, United States

Abstract

We describe the general finite field wavelet transform, which operates on vectors of length p^k 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.

Citation Download Citation

Carolyn Pfeffer Johnston "Wavelets defined over finite fields and the discrete wavelet transform", Proc. SPIE 2491, Wavelet Applications II, (6 April 1995); https://doi.org/10.1117/12.205450

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