Wavelet Toolbox

New Wavelet for CWT

This section takes you through the features of New Wavelet for CWT, one of the MATLAB Wavelet Toolbox specialized tools.

The Wavelet Toolbox requires only one function to design a new wavelet adapted to a given pattern for CWT: pat2cwav. You'll find full information about this function in its reference page.

In this section, you'll learn how to

• Load a pattern
• Synthesize a new wavelet adapted to the given pattern
• Detect patterns by CWT using the adapted wavelet
• Compare the detection using both the adapted wavelet and well-known wavelets
• Save the synthesized wavelet

Since you can perform the design of the new wavelet for CWT either from the command line or using the graphical interface tools, this section has subsections covering each method.

    The principle for designing a new wavelet for CWT is to approximate a given pattern using least squares optimization under constraints leading to an admissible wavelet well suited for the pattern detection using the continuous wavelet transform (see [MisMOP03] in References).

Saving the Synthesized Signal

New Wavelet for CWT Using the Command Line

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