Complex Morlet wavelet
[PSI,X] = cmorwavf(LB,UB,N,FB,FC)
[PSI,X] = cmorwavf(LB,UB,N,FB,FC) returns values of the complex Morlet wavelet defined by a positive bandwidth parameter FB, a wavelet center frequency FC, and the expression
PSI(X) = ((pi*FB)^(-0.5))*exp(2*i*pi*FC*X)*exp(-X^2/FB)
on an N point regular grid for the interval [LB,UB].
Output arguments are the wavelet function PSI computed on the grid X.
Construct a complex-valued Morlet wavelet with a bandwidth parameter of 1.5 and a center frequency of 1. Set the effective support to and the length of the wavelet to 1000.
N = 1000; Lb = -8; Ub = 8; fb = 1.5; fc = 1; [psi,x] = cmorwavf(Lb,Ub,N,fb,fc);
Plot the real and imaginary parts of the wavelet.
subplot(2,1,1) plot(x,real(psi)); title('Real Part'); subplot(2,1,2) plot(x,imag(psi)); title('Imaginary Part');