mexihat
Purpose
Mexican hat wavelet
Syntax
Description
[PSI,X] = mexihat(LB,UB,N) returns values of the Mexican hat wavelet on an N point regular grid, X, in the interval [LB,UB].
Output arguments are the wavelet function PSI computed on the grid X.
This wavelet has [-5 5] as effective support. Although [-5 5] is the correct theoretical effective support, a wider effective support, [-8 8], is used in the computation to provide more accurate results.
This function is proportional to the second derivative function of the Gaussian probability density function.
Examples
% Set effective support and grid parameters.
lb = -5; ub = 5; n = 1000;
% Compute and plot Mexican hat wavelet.
[psi,x] = mexihat(lb,ub,n);
plot(x,psi), title('Mexican hat wavelet')
See Also
waveinfo
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