Decomposição de Wavelets sobre Corpos Finitos

Authors

  • H. M. de Oliveira
  • T. H. Falk
  • R. F. G. Távora

DOI:

https://doi.org/10.14209/jcis.2002.7

Keywords:

Finite field Wavelets, FF-Haar, FF-Daubechies, Spread-spectrum sequences, CDM

Abstract

This paper introduces some foundations of wavelets over Galois fields. Standard orthogonal finite-field wavelets (FF-Wavelets) including FF-Haar and FF-Daubechies are derived. Non-orthogonal FF-wavelets such as B-splines over GF(p) are also considered. A few examples of multiresolution analysis over finite fields as well as conditions for the coefficients of the smoothing filter to achieve vanishing moments are presented. A new fast algorithm to compute FF-wavelets, based on a two-phase decomposition is introduced. Wavelet packed transforms over finite fields are also considered. An application of FF-wavelets to design multiplex schemes with spread-spectrum sequences is presented.

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Published

2017-05-18

How to Cite

de Oliveira, H. M., Falk, T. H., & Távora, R. F. G. (2017). Decomposição de Wavelets sobre Corpos Finitos. Journal of Communication and Information Systems, 17(1), 38–47. https://doi.org/10.14209/jcis.2002.7

Issue

Vol. 17 No. 1 (2002)

Section

Regular Papers

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Received 2017-05-18
Accepted 2017-05-18
Published 2017-05-18

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