- 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.
