Classical Wavelet Transforms over Finite Fields
الموضوعات :
A. Ghaani Farashahi
1
(Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Austria)
الکلمات المفتاحية: Finite field, classical wavelet group, classical wavelet transforms, dilation operators,
ملخص المقالة :
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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