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### Find and plot the Fourier transform of the Ricker wavelet

1. The Ricker wavelet, also known as the Mexican hat wavelet, is a popular representation of seismic signals. The Ricker wavelet r(t) is defined as the second derivative of the Gaussian

r(t)=−d2dt2g(t), where g(t)=e−a2t2.

(a) Find and plot the Fourier transform of the Ricker wavelet.

(b) Find the peak frequency: the frequency of the maximum of the Fourier spectrum.

(c) Find the apparent frequency: the frequency corresponding to the period between two minima in the time domain.

 2 retagged tmonteil 20898 ●25 ●150 ●387 http://wiki.sagemath.o...

### Find and plot the Fourier transform of the Ricker wavelet

1. The Ricker wavelet, also known as the Mexican hat wavelet, is a popular representation of seismic signals. The Ricker wavelet r(t) is defined as the second derivative of the Gaussian

r(t)=−d2dt2g(t), where g(t)=e−a2t2.

(a) Find and plot the Fourier transform of the Ricker wavelet.

(b) Find the peak frequency: the frequency of the maximum of the Fourier spectrum.

(c) Find the apparent frequency: the frequency corresponding to the period between two minima in the time domain.