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Introduction


Tutorial
on Continuous Wavelet Analysis
of Experimental Data

Jacques Lewalle, Syracuse University

April 1995.

The preparation of this document was supported in part by NASA-Dryden (TM: Martin Brenner) through Creare Inc (Drs. Miller and Magari).

Abstract:

Our purpose is to make the wavelet techniques approachable without unnecessary mathematical sophistication. Therefore, graphics are more important than the formulae or analytical results, shown in small print. Also, with the expectation that the user wants to interrogate his or her data from the viewpoint of the underlying physics, only a few simple wavelets with readily interpretable transforms are used: the first two Gaussians and the Morlet wavelets. The examples range from cosines to modulated and intermittent data.

I. Introduction

II. Basic tools

III. Enhancement and statistical reduction

IV. Further reading

 


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Jacques Lewalle
Mon Nov 13 10:51:25 EST 1995