Continuos Wavelet Transform with cwtft and Morlet wavelet

Hello again to everyone,

Sorry for bothering you again, but I have a further question on Continuos Wavelet Transform (CWT). From theory I know that doing a CWT of a real signal by means of a real wavelet leads to real wavelet coefficients. Is it correct? Therefore the question is, why if I use cwtft specifying as an input 'morl' which is the wave name for the real (valued) Morlet function, the function turns out complex valued wavelet coefficients? The point is that when I use the Mexican Hat wavelet the coefficients result real, according to theory. Why with 'morl' the coefficients are complex?

Thanks in advance for the help.

Lorenzo

Answer 1

[Charan Jadigam]

Hi,

To perform Cwt of a real signal by real morlet wavelet we need to give input parameter as ‘morlex’ which is non-analytic wavelet (real coefficients) rather than ‘morl’ which is an analytic wavelet (complex coefficients).

You can know more about choosing between analytic and non-analytic wavelets here