Gaussian fractional derivative wavelet generator.

Fractional derivatives of Gaussian Function approximation. Observed to be used as wavelets in seismology and other areas.

[ X, psir] = gauferPub(N,W, NumWAW,NumWAW_max, Step) returns the fractional order derivative of

Gaussian wavelet, psir, on an N-point regular grid, X for the interval

[LB,UB].

This based on aproximated calculation algorithm by https://www.researchgate.net/publication/319534355

(Author: Can Evren Yarman )

USAGE example:

[x,psir] = gauferPub(300, 0.25,0,2.0,0.25);

plot(transpose(psir)); Where W is the reference cyclic

frequency W0 parameter. The above will generate a family of wavelets

from fractional order of 0 (Gaussian function) to 2 (Mexican Hat) step

0.25, i.e. 8 wavelets.