Ondícula de Ricker

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(rik’ ∂r) Ondícula de fase cero, la segunda derivada de la función gaussiana o la tercera derivada de la función de densidad de probabilidad normal. La ondícula de Ricker se utiliza a menudo en modelado y fabricación de sismogramas sintéticos. Véase Figura R-14. Nombrado por Norman H. Ricker (1896–1980), geofísico estadounidense.

Segr14.jpg

FIG. R-14. Ondícula de Ricker. (a) Representaciones en el dominio del tiempo y (b) en el dominio de las frecuencias.


The amplitude f(t) of the Ricker wavelet with peak frequency fM at time t is given by,

.

The frequency domain representation of the wavelet is given by,

Where,

and .

The mean frequency and the median frequency .

Sometimes the period (somewhat erroneously referred to occasionally as the wavelength) is given as 1/f, but since it has mixed frequencies, this is not quite correct, and for some wavelets is not even a good approximation. In fact, the Ricker wavelet has its sidelobe minima at

These minima have the value