Multiresolution Analysis in the Wavelet Toolkit

Multiresolution Analysis uses the wavelet transform to decompose a data series in a cascade from the smallest scales to the largest. At each scale there are three components: the Smooth (or low-pass filtered) data series, the Details (or band-pass) data series, and the Rough (or high-pass).

For one-dimensional vectors, this can be viewed as a hierarchy of x-y plots, as shown in the following figure:

For two-dimensional arrays, the multiresolution analysis gives a series of images.

File Menu

Page Setup

This menu item sets up the page height and width for exporting and printing.

Export Postscript

Export the image to a postscript file.

Printer Setup

This menu item allows you to set up the printer via the Printer Dialog.

Print

This menu item prints the image.

Close

This menu item closes the Multiresolution viewer.

Wavelet Options

You can change the current wavelet family, or the order. The plot will be updated automatically.

Figure 2-4: Multiresolution Analysis of the "Chirp" Variable

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