Unimodular Wavelets and Scaling Functions
Commun. Korean Math. Soc. 1998 Vol. 13, No. 2, 289-305
Hong Oh Kim, Jong Ha Park
Abstract : We consider unimodular wavelets and scaling functions whose Fourier transforms are supported in a finite disjoint union of closed intervals. In particular, we characterize those unimodular wavelets which can be associated with multiresolution analysis. As an application we have a criterion to determine whether a wavelet from a class of unimodular wavelets of Ha et al. can be associated with multiresolution analysis or not.
Keywords : unimodular wavelets, multiresolution analysis
MSC numbers : Primary 42C05, 42B20
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