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

^*Corresponding author for this work

Institute of Mathematics

University of Rostock

11 Citations (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.

Original language	English
Journal	Wavelet Analysis and Its Applications
Volume	7
Issue number	C
Pages (from-to)	201-255
Number of pages	55
ISSN	1874-608X
DOIs	https://doi.org/10.1016/S1874-608X(98)80009-5
Publication status	Published - 01.12.1998

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title = "Interpolatory and orthonormal trigonometric wavelets",

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.",

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T1 - Interpolatory and orthonormal trigonometric wavelets

AU - Prestin, Jürgen

AU - Selig, Kathi

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N2 - 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.

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

AN - SCOPUS:77957114359

SN - 1874-608X

VL - 7

SP - 201

EP - 255

JO - Wavelet Analysis and Its Applications

JF - Wavelet Analysis and Its Applications

IS - C

ER -

Interpolatory and orthonormal trigonometric wavelets

Abstract

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