Interpolatory and orthonormal trigonometric wavelets

Jürgen Prestin*, Kathi Selig

*Corresponding author for this work
11 Citations (Scopus)


The aim of this paper is the detailed investigation of trigonometric polynomial spaces as a tool for approximation and signal analysis. Sample spaces are generated by equidistant translates of certain de la Vallee Poussin means. The different de la Vallee Poussin means enable us to choose between better time or frequency localization. For nested sample spaces and corresponding wavelet spaces, we discuss different bases and theirtransformations.

Original languageEnglish
JournalWavelet Analysis and Its Applications
Issue numberC
Pages (from-to)201-255
Number of pages55
Publication statusPublished - 01.12.1998


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