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Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters
Dyn, Nira; Kounchev, Ognyan; Levin, David; Render, Hermann
We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory subdivision scheme reproducing a given set of exponentials with real-valued parameters. The construction is analogous to the construction of Daubechies wavelets using the subdivision scheme of Deslauriers-Dubuc. The main result is the existence and smoothness of these Daubechies type wavelets. AD 26/03/2014
Keyword(s): Wavelet analysis; Non-stationary wavelets; Non-stationary subdivision; Daubechies wavelets
Publication Date:
Type: Journal article
Peer-Reviewed: Unknown
Language(s): English
Institution: University College Dublin
Publisher(s): Elsevier
First Indexed: 2014-03-28 05:16:02 Last Updated: 2018-10-11 15:19:47