Constructing wavelets from desired signal functions
Joseph O. Chapa, M.R. Raghuveer
Abstract
Joseph O. Chapa, M.R. Raghuveer
Abstract
A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are "tuned" to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA).
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A limitation to wavelet design is the inability to construct orthonormal wavelets that match or are "tuned" to a desired signal. This paper develops a technique for constructing an orthonormal wavelet that is optimized in the least squares sense, and whose associated scaling function generates an orthonormal multiresolution analysis (OMRA).
Key concepts: Orthonormal basis, Wavelet, Legendre wavelet, Multiresolution analysis, SIGNAL (programming language), Construct (python library), Wavelet transform, Gabor wavelet