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Open Access Green as soon as Postprint is submitted to ZB.
On the estimation of wavelet coefficients.
Adv. Comput. Math. 13, 105-129 (2000)
In wavelet representations, the magnitude of the wavelet coefficients depends on both the smoothness of the represented function f and on the wavelet. We investigate the extreme values of wavelet coefficients for the standard function spaces Ak=f| ∥fk)∥2 ≤ 1}, k∈N. In particular, we compare two important families of wavelets in this respect, the orthonormal Daubechies wavelets and the semiorthogonal spline wavelets. Deriving the precise asymptotic values in both cases, we show that the spline constants are considerably smaller
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
wavelet coefficients bounds Daubechies wavelets semiorthogonal spline wavelets
ISSN (print) / ISBN
1019-7168
e-ISSN
1572-9044
Quellenangaben
Volume: 13,
Issue: 2,
Pages: 105-129
Publisher
Springer
Non-patent literature
Publications
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)