Haar’s Simple Wavelets

Yves Nievergelt · Birkhäuser Boston eBooks · 1999

This chapter explains the nature of the simplest wavelets and an algorithm to compute a fast wavelet transform. Such wavelets have been called “Haar’s wavelets” since Haar’s publication in 1910 (reference [19] in the bibliography). To analyze and synthesize a signal—which can be any array of data—in terms of simple wavelets, this chapter employs shifts and dilations of mathematical functions, but does not involve either calculus or linear algebra. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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