Talk:Continuous wavelet transform

message: There are multiple formulations of the continuous wavelet transform and of the resolution of the identity and corresponding admissibility criteria. The two most popular are Goupillaud's and Delprat's. The resolution of the identity is not an "inverse transform". I think the page should mention applications of the CWT and approaches to computation. --  Jon Harrop
"CWT-based time-frequency analysis has many benefits over other time-frequency methods (such as the short-time or windowed Fourier transform, Wigner-Ville and Choi-Williams distributions)." -- Why? This statement has not been supported this entry
: My statement requires too much background to clarify in this article so I have added a citation. Jon Harrop 11:25, 9 April 2007 (UTC)
replies: text: First, please demonstrate why this particular fact needs citation and how your own thesis as a source would meet WP:A. Femto 12:09, 9 April 2007 (UTC)
replies: text:  The "fact" needs citation because it is being questioned. I'll add references to random other pieces of work that back this up. Jon Harrop 09:07, 17 April 2007 (UTC)
replies: text:  I've replaced the deleted citation to one referencing Addison's book. It isn't as good but hopefully it won't get deleted... Jon Harrop 09:11, 17 April 2007 (UTC)
thread_title:  Some issues 

message: Hi, all. Is it ok if I change the notation in the article on continuous wavelet transform to make it consistent with that in the article on wavelets? The symbols used for the location and scale parameters in one article have been swapped with respect to those used in the other. If I don't get replies arguing against the change in a couple of days I'll just go ahead with it, although I am not sure whether this is proper. I will welcome being educated on the correct procedure. Regards, Prsmendonca (talk) 14:24, 31 January 2008 (UTC)
replies: text: Feel free to edit. It's been a long time since substatial changes have been made in the whole wavelet complex.--LutzL (talk) 09:54, 1 February 2008 (UTC)
replies: text: Done, sorry for the delay. Prsmendonca (talk) 14:24, 29 April 2008 (UTC)
thread_title:  Consistency with the [[Wavelet]] article 

message: As far as I understand, the duality formula is missing a complex conjugate.
If forward transform is
:X_w(a,b)=\frac{1}{\sqrt{|a|}} \int_{-\infty}^{\infty} x(t)\psi^{\ast}\left(\frac{t-b}{a}\right)\, dt
and duality condition is
:\int_{0}^{\infty}\int_{-\infty}^{\infty} \frac{1}{|a^3|}\psi^{\ast}\left(\frac{t_1-b}{a}\right)\tilde\psi\left(\frac{t-b}{a}\right)\, db\ da=\delta(t-t_1)
then, the inverse formula is derived trivially.
Am I right?
Arkadi kagan (talk) 21:21, 25 November 2011 (UTC)
thread_title:  Duality formula 

message: The article about George Zweig claims that he discovered the CWT. Should we have a detailed section on the history of this transform? Hamsterlopithecus (talk) 17:42, 24 May 2013 (UTC)
thread_title:  History 

message: I was hoping to see a list of examples and maybe a brief discussion of their applications and theoretical properties. There are three listed here: Wavelet#Continuous_wavelet_transforms_.28continuous_shift_and_scale_parameters.29. There are several more listed: http://www.ljmu.ac.uk/GERI/98293.htm  and here Continuous_wavelet. Thanks in advance for whoever puts forth the time and effort to consolidate all this information onto one page. (Mouse7mouse9 22:09, 1 May 2014 (UTC)
thread_title:  Examples