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> Volume 2, Issue 15
New Wavelet Toolbox in Matlab

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David Newland, Cambridge University Engineering Department Guest

Posted: Fri Nov 29, 2002 3:37 pm Subject: New Wavelet Toolbox in Matlab




New Wavelet Toolbox in Matlab
NEW WAVELET TOOLBOX
As previously announced, the book Random Vibrations, Spectral and Wavelet
Analysis (John Wiley, New York, ISBN 0470221534 in the USA and Longman,
ISBN 0582215846 elsewhere) has an accompanying wavelet toolbox in
MATLAB*. This toolbox is now available separately from the book with an
accompanying descriptive manual. The expanded toolbox currently has 18
Mfiles for dilation and harmonic wavelet transforms and the presentation
of their results in signal analysis. There is also a short demonstration
program.
Harmonic wavelets have a simple analytical structure, a fast algorithm, are
orthogonal, and have many applications in signal analysis. Musical
wavelets are developments of harmonic wavelets which allow greater
frequency discrimination.
The programs compute the onedimensional dilation wavelet transform and its
inverse,display the results of the transform, map the results as contour
and mesh diagrams, and compute twodimensional dilation wavelet transforms
and their inverse. There are also programs to compute the harmonic wavelet
transform of a onedimensional sequence, and its inverse and to compute the
harmonic wavelet map of a real sequence. This uses an algorithm based on
the FFT and, for most problems, is quicker than the dilation wavelet
transform. In addition there are programs to compute the musical wavelet
transform of a real signal and its inverse and to display the results of
this calculation in the form of a musical wavelet map. This has a
presentation similar to the musical stave and produces a diagram similar to
a sonogram.
Instructions on how to obtain the toolbox can be obtained by email request
to den@eng.cam.ac.uk.
D E Newland
*MATLAB is a registered trademark of The MathWorks Inc.
Professor David Newland
Cambridge University Engineering Department
Trumpington St
Cambridge, CB2 1PZ, UK 





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