This applet shows one of the steps in producing a scalogram and the relation between frequency and the wavelet parameters for the Gabor wavelet.

To produce one line of a scalogram, the following equation is used:-

To show the relation between wavelet parameters and frequency, ws is adjusted until it reaches a maximum for either signal burst. By translating the wavelet using Tc, it is apparent that a maximum is reached when the period of the signal and wavelet oscillations coincide. As shown on the wavelet, the frequency in rad/s of the signal is equal to 2*p*n/ ws for the Gabor wavelet.

This relation is valid provided both wavelet and signal burst are within the correlation time domain when their peaks coincide.

When enabled, the following gif image show how the applet should appear:-

COPYRIGHT © 2007 Cuthbert Nyack.