Classical Wavelet Transforms over Finite Fields

author

  • A. Ghaani Farashahi Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Austria
Abstract:

This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of classical wavelet coefficients.

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Journal title

volume 04  issue 04

pages  241- 257

publication date 2015-12-01

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