Asymptotic behavior of \(M\)-band scaling functions of Daubechies type
type: Item
instance of: scholarly article
title: Asymptotic behavior of \(M\)-band scaling functions of Daubechies type
zbMATH Open document ID: 1055.42505
DOI: 10.4171/ZAA/852
author: Lokenath Debnath
author: Qiyu Sun
author: Ning Bi
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1998-01-01T00:00:00Z
review text: \textit{N. Bi, X. Dai} and \textit{Q. Sun} [Appl. Comput. Harmon. Anal. 6, No. 2, 113--131 (1999; Zbl 0926.42021)] considered the design of a filter with \(N\) vanishing moments and finite length corresponding to an \(M\)-band scaling function and constructed compactly supported orthonormal \(M\)-band wavelets. Here the authors investigate the asymptotic behaviour of \(M\)-band scaling functions and \(M\)-band symbols as \(M \to \infty ,\) for any \(N\geq 2.\)
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1270163
zbMATH Keywords: rank \(M\) scaling functions
zbMATH Keywords: asymptotics
zbMATH Keywords: rank \(M\) wavelets
zbMATH Keywords: vanishing wavelet moments
reviewed by: Alexei Lukashov
MaRDI profile type: Publication
cites work: Construction of compactly supported \(M\)-band wavelets
cites work: Ten Lectures on Wavelets
cites work: Rank M Wavelets with N Vanishing Moments
cites work: Q4027550
cites work: \(M\)-band scaling function with filter having vanishing moments two and minimal length
full work available at URL: https://doi.org/10.4171/zaa/852
OpenAlex ID: W2093955843
description: scientific article; zbMATH DE number 1270163