## introduction

The impetus for this post is figure 1.4 on page 6 of Burrus et al. (Since it’s been a while, that’s Burrus, C. Sidney; Gopinath, Ramesh A.; Guo, Haitao. **Introduction to Wavelets and Wavelet Transforms, A Primer.** Prentice Hall, 1998.ISBN 0 13 489600 9.)

They offered the figure as an illustration of four different scaling functions; in addition, these scaling functions were parameterized by two angles.

Now I know how to produce the drawings of those scaling functions — and I also know how to produce drawings of the corresponding mother wavelets, which they did not show on page 6.** It also turns out that they have interchanged the legends for figures (a) and (b)** — and when we can produce the drawings ourselves, that mistake becomes almost irrelevant.

This post also serves to reiterate the calculation sequence for plotting a scaling function and its corresponding mother wavelet. Read the rest of this entry »