|WikiProject Mathematics||(Rated Start-class, Low-priority)|
"Although every reconstructable filter bank can be expressed in terms of lifting steps, an explicit decomposition for a family of wavelets is only known for the Cohen-Daubechies-Feauveau wavelet, so far."
What ? What about biorthogonal splines, biorthogonal sinc, and integer biorthogonal sinc wavelets ? (The latter two are my constructions, but they definitely was constructed via lifting) Frigo 12:18, 9 December 2006 (UTC)
- What I meant is, that lifting steps are usually derived from existing wavelet filters using the decomposition by the Euclidean algorithm as proposed by Daubechies and Sweldens. I have not seen so far, that people develop wavelet filters or families of wavelet filters from lifting composition or who give a generic lifting decomposition for their families of wavelets. If you know such generic decompositions, then please extend the list and provide references. You may visit the article on Cohen-Daubechies-Feauveau_wavelet#Lifting_decomposition in order to see what I mean. HenningThielemann (talk) 16:12, 19 January 2010 (UTC)
I'm proposing that Generalized Lifting be merged into this page, assuming that its content is notable enough for inclusion. Alternatively, it may be that Generalized lifting should just be deleted. Agathman (talk) 19:05, 12 April 2009 (UTC)
This text contains plagiarism, text is taken from Mallat, 2009: A wavelet tour of signal processing: The sparse way, p. 350