Orthogonal polynomial wavelets

Bernd Fischer*, Woula Themistoclakis

*Corresponding author for this work
4 Citations (Scopus)


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.

Original languageEnglish
JournalNumerical Algorithms
Issue number1
Pages (from-to)37-58
Number of pages22
Publication statusPublished - 01.12.2002


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