A Morlet wavelet [Une ondelette de Morlet ]

A Morlet wavelet [Une ondelette de Morlet].




The Morlet wavelet is defined as the following complex function:
                                      2        2
                                 | X |    | Y |
                                 |---|  + |---|
                                 | d |    | d |                   X            Y
                              - -----------------  i.|k|.[cos(t).--- + sin(t).---]
                                        2                         d            d
                    F(X,Y) = e                   .e


On this picture, this particular wavelet uses the following parameters:
                    d = 0.10 (dilatation)
                    k = 6    (number of periods)
                    t = pi/2 (rotation)
The real and imaginary parts are displayed using the Red and Green picture components respectively.


(CMAP28 WWW site: this page was created on 11/15/2012 and last updated on 06/04/2026 22:58:39 -CEST-)



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