Wavelet Software

Software Platform

I recommend GNU Octave Octave

For Windows XP and Windows 7 I've been using Octave 3.0.3. I found this version very stable, during a few years of daily usage I have not encountered any major crash.

Direct download link for Octave 3.0.3 for Windows: octave-3.0.3-setup.exe

It comes with GNU Plot 4.3. (In the installation select GNU Plot as the graphics backend). I like this version 4.3 of the GNU Plot as it produces eye pleasing figures of your graphs. Not a minor thing :)

See the license here: http://www.gnu.org/software/octave/license.html It's free software for everyone to use.

Wavelet Package for Octave

Here's the wavelet package that I have made. This package allows you to analyse your measured impulse responses with different types of wavelets. This package runs under Octave.

Download the wavelet package v. 1.0 for Octave: WT_release1_0.zip

This package is released under GPL license. © Elias Pekonen 2011

Features of the Wavelet Package

• Wavelet analysis methods

  • Wavelet CSD
  • Constant Q Wavelet
  • Bark Wavelet
  • Multiresolution Wavelet CSD
  • Multiresolution Constant Q Wavelet
  • Multiresolution Bark Wavelet

• Supports mono WAV impulse response files

• User selectable parameters for wavelet analyses

  • Frequency range
  • Time range
  • Amplitude scale dynamic range
  • Amplitude absolute level
  • Amplitude normalisation
  • 3D plots
  • and many wavelet specific parameters

How to Run the Wavelet Package in Octave

It's easy.

First you should have downloaded and extracted the wavelet package .zip file to your selected folder.

Start the Octave. A command prompt like window appears.

Next select the folder you extraxted the package by typing 'cd' (change directory) followed by the folder path, for example:

Then you type the name of the wavelet package main function 'wt_main'

That's all. Now you are ready to do the wavelet analysis.

Tip: Next time you run Octave, you can browse the previously entered commands by using the up-down arror keys without needing to write them again.

Screen shots from the Wavelet Package

Main window

Main window showing the selection of available wavelet analysis methods.

File Browser to Select the Impulse Response File

Wavelet package v. 1.0 supports mono WAV file format of the impulse responses

Tip: File browser remembers the folder you selected in the last run, so you are ready to choose the impulse response file without the need to browse the file structure, if you keep the impulse responses in the same folder.

Impulse response

All the wavelet analysis methods plot the impulse response

Wavelet CSD

Wavelet CSD

Normalised Wavelet CSD

Normalisation is provided along the frequency axis making the maximum amplitude equivalent to 0 dB at each frequency. This allows for better comparison of temporal effect regardless of the frequency response.

Wavelet CSD in 3D

Wavelet CSD frequency response decay

This plot shows the amplitude of the wavelet CSD in the given time intervals

Constant Q Wavelet

Constant Q wavelet

Normalised constant Q wavelet

Normalisation is provided along the frequency axis making the maximum amplitude equivalent to 0 dB at each frequency. This allows for better comparison of temporal effect regardless of the frequency response.

Constant Q wavelet in 3D

Bark Wavelet

Bark wavelet

Normalised Bark wavelet

Normalisation is provided along the frequency axis making the maximum amplitude equivalent to 0 dB at each frequency. This allows for better comparison of temporal effect regardless of the frequency response.

Bark wavelet in 3D

Bark wavelet frequency response

This shows the maximum amplitude of the Bark wavelet at each frequency

Multiresolution Wavelet CSD

Multiresolution wavelet CSD

Multiresolution Constant Q Wavelet

Multiresolution constant Q wavelet

Multiresolution Bark Wavelet

Multiresolution Bark wavelet

Multiresolution Bark wavelet frequency response

This shows the maximum amplitude of the multiresolution Bark wavelet at each frequency