---

Authors:

• Benjamin Audit
  EMBL Outstation - Hinxton, European Bioinformatics Institute,
  Wellcome Trust Genome Campus, Hinxton,
  Cambridge, CB10 1SD,
  United Kingdom

• Emmanuel Bacry
  Centre de Mathematiques Appliquées
  Ecole Polytechnique 91128 Palaiseau Cedex - France

• Nicolas Decoster
  Formerly at Centre de Recherche Paul Pascal
  33600 Pessac - France

• Stéphane Mallat
  Centre de Mathematiques Appliquées
  Ecole Polytechnique 91128 Palaiseau Cedex - France

• Jean François Muzy
  Université de Corse, Quartier Grossetti,
  20250, Corté, France.

Description

Package allowing to perform and display 1d (continuous and (bi)orthogonal) wavelet transforms.

Examples

Let's run the Demo DemoWtrans1dFrac

Let's run the Demo DemoWtrans1dFrac
Here is the code of the demo:
# Set the current wavelet transform to be a
a
# Generate a devil staircase+gaussian noise
ucantor 0 8000 .334 .5 .332 0 .334 .5
0=prim(0a)+Grand*.01
# Compute the continuous wavelet transform using the first derivative of the Gaussian as the analyzing wavelet
cwtd 1.5 7 10 'g1'
# Display the signal on top of the wavelet transform
disp 0 a

If you zoom (using the mouse or a command line) either the signal or the wavelet transform it zooms everything, e.g.,

Using the (left-button) mouse along with the shift key allows to perform a horizontal cut:

Using the (right-button) mouse along with the shift key allows to perform a vertical cut (log values)

Then you can perform a linear fit on the section