Mathematica Wavelet Explorer

Introduction

Wavelet Explorer introduces you to the exciting new area of wavelet analysis. Using functions that are localised in both time and frequency space, wavelets enable an extraordinary array of potential applications ranging from signal and image processing to data analysis.

Wavelet Explorer's ready-to-use functions and utilities let you apply a variety of wavelet transforms to your projects. Generate commonly used filters such as the Daubechies' extremal phase and least asymmetric filters, coiflets, spline filters, and more. Visualise wavelets and wavelet packets and zoom in on their details. You can transform your data to a host of wavelet bases, wavelet packet bases, or local trigonometric bases and do inverse transforms in one and two dimensions. Then view the transform in time-frequency space, selecting different bases and boundary conditions. Data compression and denoising are surprisingly simple procedures with Wavelet Explorer's built-in functions.

In addition to its impressive collection of powerful analysis and visualisation tools, Wavelet Explorer is an excellent interactive tutorial for those who are new to wavelet theory. Clear examples start with the basics about wavelets and how to explore wavelet properties, then demonstrate how you can use the system to apply wavelet analysis techniques in your field.

Written in the Mathematica language, Wavelet Explorer's built-in functions and utilities are all fully programmable. Take advantage of Mathematica's thousands of powerful computational and visualisation algorithms as you extend and customise your own wavelet analysis tools.

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