Mexican hat wavelet


[PSI,X] = mexihat(LB,UB,N)


[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.


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Mexican Hat Wavelet

Create a Mexican hat wavelet with support on [-5,5]. Use 1,000 sample points. Plot the result.

lb = -5;
ub = 5;
N = 1000;
[psi,xval] = mexihat(lb,ub,N);
title('Mexican Hat Wavelet');

See Also

Introduced before R2006a

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