On Wavelet Decomposition Over Finite Fields

Hélio Magalhães De Oliveira, Tiago Henrique Falk

DOI: 10.14209/sbrt.2001.07900151

Evento: XIX Simpósio Brasileiro de Telecomunicações (SBrT2001)

Keywords:

Abstract

"This paper introduces some foundations of wavelets over Galois fields. Standard orthogonal finite-field wavelets (FFWavelets) including FF-Haar and FFDaubechies are derived. Non-orthogonal FFwavelets such as B-spline over GF(p) are also considered. A few examples of multiresolution analysis over Finite fields are presented showing how to perform Laplacian pyramid filtering of finite block lengths sequences. An application of FF-wavelets to design spread-spectrum sequences is presented."

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