A. Rieder, A PAINLESS AND DIRECT WAY FROM INTEGRAL TO DISCRETE FAST WAVELET TRANSFORMS, Zeitschrift fur angewandte Mathematik und Mechanik, 78(11), 1998, pp. 781-785
Starting from the integral wavelet transform it is shown how the scali
ng function appears naturally in terms of bandpass filtering. Our argu
ments help to motivate the definition of multiscale analyses.