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Prefiltering in Wavelet Analysis Applying Cubic B-Splines

Rakowski W.

International Journal of Electronics and Telecommunications

2014

Vol. 60, No. 4

331-340

Wavelet transform algorithms (Mallat’s algorithm, a trous algorithm) require input data in the form of a sequence of numbers equal to the signal projection coefficients 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.