Z files are the packages. I.e., nothing new here, the purpose is to save other Mathematica users from having to recreate the functions for the basic wavelets. The expanded toolbox currently has 18 M-files 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.
There are also programs to compute the harmonic wavelet transform of a one-dimensional 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.