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Orthogonal multiwavelets of multiplicity four

✍ Scribed by Don Hong; Ai-Di Wu

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
615 KB
Volume
40
Category
Article
ISSN
0898-1221

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✦ Synopsis

We

consider solutions of a system of refinement equations with a 4 Γ— 1 function vector and three nonzero 4 Γ— 4 coefficient matrices. We give explicit expressions of coefficient matrices such that the refinement function vector and the corresponding wavelet vector have properties of short support [0, 2], symmetry or antisymmetry, and orthogonality. The properties of convergence of the subdivision scheme, approximation order, and smoothness of the refinement functions are also discussed. (~) 2000 Elsevier Science Ltd. All rights reserved.

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