Wavelet Toolbox

Wavelet Applications

This chapter explores various applications of wavelets by presenting a series of sample analyses. Major sections are

• Detecting Discontinuities and Breakdown Points I
• Detecting Discontinuities and Breakdown Points II
• Detecting Long-Term Evolution
• Detecting Self-Similarity
• Identifying Pure Frequencies
• Suppressing Signals
• De-Noising Signals
• De-Noising Images
• Compressing Images
• Fast Multiplication of Large Matrices

Each example is followed by a discussion of the usefulness of wavelet analysis for the particular application area under consideration.

Use the graphical interface tools to follow along:

1. From the MATLAB command line, type

• wavemenu
  

2. Click on Wavelets 1-D (or another tool as appropriate).
3. Load the sample analysis by selecting the appropriate submenu item from FileExample Analysis.

Feel free to explore on your own -- use the different options provided in the graphical interface to look at different components of the signal, to compress or de-noise the signal, to examine signal statistics, or to zoom in and out on different signal features.

If you want, try loading the corresponding MAT-file from the MATLAB command line, and use the Wavelet Toolbox functions to further investigate the sample signals. The MAT-files are located in the directory toolbox/wavelet/wavedemo.

There are also other signals in the wavedemo directory that you can analyze on your own.

Importing and Exporting Information from the Graphical Interface

Detecting Discontinuities and Breakdown Points I