Fractals, finance, geophysics and other areas

Authored by: Paul S. Addison

The Illustrated Wavelet Transform Handbook

Print publication date:  July  2002
Online publication date:  July  2002

Print ISBN: 9780750306928
eBook ISBN: 9781420033397
Adobe ISBN:

10.1201/9781420033397.ch7

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Abstract

In this last chapter we cover a variety of subject areas in briefer detail than the preceding chapters. Most of the chapter is devoted to three main topics—fractals, finance and geophysics. First we will look at how we can use wavelet transforms to characterize the scaling properties of self-similar fractal and multifractal objects. After this, we will consider the emerging role of wavelet analysis in financial analysis. The largest section of the chapter is then devoted to geophysics—where wavelet transform analysis began with the analysis of seismic signals. Finally, in the last section we take a brief tour of a selection of other areas where wavelet analysis has made an impact but has not been covered within the rest of the book.

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