Hi, Complex morlet function is psi(t,fc,fb)=[(pi*fb)^(-1/2)]*exp(2*pi*fc*t)*exp(t^2/fb) according to matlab help file. obviously fb is bandwidth and fc is center frequency. you can use cmorfb-fc and cwt to transform your signal.now imagine morlet wavelet is express by mypsi(t,wo)=exp(wo*t)*exp(-t^2/2) where wo is 2*pi*fc. the Fourier transform of mypsi(sw,wo)=sqrt(2*pi)*exp(-(sw-wo)^2/2). so as you saw in matlab help the Fourier transform of morl is PSI_hat(s*w)=pi^(-1/4)*exp(-(s*w-wo).^2/2). so compare to myspi the time domain function must be:PSI^(t,wo)=pi^(-1/4)*1/sqrt(2*pi)*exp(-t^2/2)*exp(j*wo*t) so you are right.compare to first equetion 'psi' fc is considered wo/(2pi), and you can change wo value with 'parm' parameter.but i am not sure what fb is. if we compare the constant of psi and PSI we find fb=sqrt(pi). but if we compare the t^2/fb we find fb=2.so I don't know about fb. tell me if you find the answer.anyway matlab dosent let you to change fb in cwtft morlet function, but if you want you can change morlt built in function like this : PSI_hat(s*w)=pi^(-1/4)*exp(-(s*w-wo).^2/F) if you change F it means Fb will change too. but i am not sure if fb=F or not. also i was I know that freq= fc / (scale * dt) but in cwtft matlab used 1/scales to find frequency. look at it's example. i didn't understand your second question at all. also you said you are useing cwtft cause your signal is long. but what is the difference of cwt and cwtft in this case? Hope it was useful ask me if my answer was not clear.
