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On Wavelet Decomposition over Finite Fields
de Oliveira, H. M....
On Wavelet Decomposition over Finite Fields by de Oliveira, H. M. ( Author )
N.A
01-01-2015
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-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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Article
pdf
36.88 KB
English
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MYR 0.01
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http://arxiv.org/abs/1502.01877
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