Abstract
A class of fast orthogonal transformations for finite strings of data are described. These transformations are based on the multiresolution analysis paradigm of Mallat and Meyer and give rise to a method for constructing multiresolution analyses and orthogonal wavelets on an interval. Mathematical details and numerical examples are included.
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Madych, W.R. Finite orthogonal transforms and multiresolution analyses on intervals. The Journal of Fourier Analysis and Applications 3, 257–294 (1997). https://doi.org/10.1007/BF02649112
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DOI: https://doi.org/10.1007/BF02649112