2007 | OriginalPaper | Buchkapitel
On Multivariate Wavelets with Trigonometric Vanishing Moments
verfasst von : Ying Li, Zhi-Dong Deng, Yan-Chun Liang
Erschienen in: Wavelet Analysis and Applications
Verlag: Birkhäuser Basel
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Wavelets with trigonometric vanishing moments are studied for the first time. A practical construction algorithm of multivariate orthonormal wavelets with trigonometric vanishing moments is proposed. Based on such construction algorithm, a tight frame of
L
2
(ℝ
d
) can be obtained even at the worst case. An example of construction of bivariate orthonormal wavelets providing concrete trigonometric vanishing moments is presented.