Interpolatory and orthonormal trigonometric wavelets

Jürgen Prestin; Kathi Selig

doi:10.1016/S1874-608X(98)80009-5

Interpolatory and orthonormal trigonometric wavelets

Jürgen Prestin^*, Kathi Selig

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

Universität Rostock

11 Zitate (Scopus)

Abstract

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.

Originalsprache	Englisch
Zeitschrift	Wavelet Analysis and Its Applications
Jahrgang	7
Ausgabenummer	C
Seiten (von - bis)	201-255
Seitenumfang	55
ISSN	1874-608X
DOIs	https://doi.org/10.1016/S1874-608X(98)80009-5
Publikationsstatus	Veröffentlicht - 01.12.1998

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10.1016/S1874-608X(98)80009-5

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AU - Selig, Kathi

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AB - 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.

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U2 - 10.1016/S1874-608X(98)80009-5

DO - 10.1016/S1874-608X(98)80009-5

M3 - Journal articles

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JO - Wavelet Analysis and Its Applications

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Interpolatory and orthonormal trigonometric wavelets

Abstract

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