Morlet wavelet: what is the difference between 'morl' and 'amor' wavelets?
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Maja Bitenc on 3 Dec 2018
Commented: SungJun Cho on 13 May 2021
Dear wavelet fan,
My question as in the title: what is the difference between 'morl' and 'amor' wavelets?
is it all the same, just different name used in the old and new 'cwt' function?
Thank you for the answer in advance!
SungJun Cho on 6 Apr 2021
It seems quite late to answer your question, but to simply put, the difference between 'morl' and 'amor' wavelets lies in whether they are complex valued in the time domain or not. The 'morl' wavelets are real-valed Morlet wavelets that are not complex valued in the time domain (c.f., here), whereas the 'amor' wavelets are analytic Morlet wavelets that are complex valued in the time domain (c.f., wikipedia and here).
If you refer to the links above or use waveinfo('morl') command, you can see the equations and mathematical details about these wavelets.
Hope this helps.
SungJun Cho on 13 May 2021
No not quite. 'amor' and 'cmor' are defined by different equations. For 'cmor', the equation can be found on the MATLAB document. For 'amor', the equations can be found from the link below:
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