✦ LIBER ✦

Characterizations of Biorthogonal Wavelets Which Are Associated with Biorthogonal Multiresolution Analyses

✍ Scribed by Hong Oh Kim; Rae Young Kim; Jae Kun Lim

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 130 KB
Volume: 11
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0351

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✦ Synopsis

We first characterize the Riesz wavelets which are associated with multiresolution analyses (MRAs) and the Riesz wavelets whose duals are also Riesz wavelets. The characterizations show that if a Riesz wavelet is associated with an MRA, then it has a dual Riesz wavelet. We then improve Wang's characterization for a pair of biorthogonal wavelets to be associated with biorthogonal MRAs by showing that one of the two conditions in his characterization is redundant.