PARAMETRIZING SMOOTH COMPACTLY SUPPORTED WAVELETS

Authors
WELLS RO
Citation
Ro. Wells, PARAMETRIZING SMOOTH COMPACTLY SUPPORTED WAVELETS, Transactions of the American Mathematical Society, 338(2), 1993, pp. 919-931
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
338
Issue
2
Year of publication
1993
Pages
919 - 931
Database
ISI
SICI code
0002-9947(1993)338:2<919:PSCSW>2.0.ZU;2-#
Abstract
In this paper a concrete parameter space for the compactly supported w avelet systems of Daubechies is constructed. For wavelet systems with N (generic) nonvanishing coefficients the parameter space is a closed convex set in R(N-2)/2, which can be explicitly described in the Fouri er transform domain. The moment-free wavelet systems are subsets obtai ned by the intersection of the parameter space and an affine subspace of R(N-2)/2.