MATLAB's implementation of cwt uses the complex morlet wavelet as:
psi(x) = (pi*Fb)^(-0.5)*exp(2*1j*pi*Fc*x)*exp(-(x^2)/Fb);
However, it is possible to implement the cwt in the Fourier domain (cwtft). In this case, MATLAB uses a slightly different version of the Morlet wavelet:
psi = (pi^(1/4)).*exp(2*pi*1j*t)*exp(-(t.^2)/2);
The question is: how can I change (or insert) the frequency band parameter in the cwtft version?
Would be something like:
psi2 = (Fb*pi.^(1/4)).*exp(2*pi*Fc*1j*t).*exp(-(t.^2)/(Fb*2));
if yes, how is the Fourier version of psi2 (because the implementation takes the fourier transform of psi2)?
