Prefiltering in Wavelet Analysis Applying Cubic B-Splines
Abstract
Wavelet transform algorithms (Mallat's algorithm, a trous algorithm) require input data in the form of a sequence of numbers equal to the signal projectioncoefficients on a space spanned by integer-translated copies of a scaling function.
After sampling of the continuous-time signal, it is most frequently possible to compute only approximated values of the signal projection coefficients by choosing a specific signal approximation. Calculation of the signal projection coefficients
based on the signal interpolation by means of cubic B-splines is proposed in the paper.
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