Orthogonal Polynomial Wavelets

被引：0
|
作者：
Bernd Fischer
Woula Themistoclakis
机构：
[1] Medical University of Lübeck,Institute of Mathematics
[2] Università degli Studi della Basilicata,Dipartimento di Matematica
来源：
Numerical Algorithms | 2002年 / 30卷
关键词：
Weight Function; Unify Approach; Scaling Function; Reconstruction Scheme; Computable Characterization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Recently Fischer and Prestin presented a unified approach for the construction of polynomial wavelets. In particular, they characterized those parameter sets which lead to orthogonal scaling functions. Here, we extend their results to the wavelets. We work out necessary and sufficient conditions for the wavelets to be orthogonal to each other. Furthermore, we show how these computable characterizations lead to attractive decomposition and reconstruction schemes. The paper concludes with a study of the special case of Bernstein–Szegö weight functions.
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页码：37 / 58
页数：21
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