A Uniﬁed Approach to Construct a Class of Daubechies Orthogonal Scaling Functions

Tian-Xiao He; Tung Nguyen

doi:10.3770

A Uniﬁed Approach to Construct a Class of Daubechies Orthogonal Scaling Functions

Tian-Xiao He, Tung Nguyen

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

Abstract

We use Lorentz polynomials to give an efficient way to prove Daubechies’results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach.

Original language	American English
Journal	Journal of Mathematical Research with Applications
Volume	37
DOIs	https://doi.org/10.3770
State	Published - Jan 2017

Keywords

B-spline
Daubechies scaling functions
Lorentz polynomial
MRA scaling function

Disciplines

Applied Mathematics
Mathematics

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10.3770License: Unspecified

Cite this

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title = "A Uniﬁed Approach to Construct a Class of Daubechies Orthogonal Scaling Functions",

abstract = " We use Lorentz polynomials to give an efficient way to prove Daubechies{\textquoteright}results on the existence of spline type orthogonal scaling functions and to evaluate a class of Daubechies scaling functions in a unified approach.",

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KW - Lorentz polynomial

KW - MRA scaling function

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JO - Journal of Mathematical Research with Applications

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A Uniﬁed Approach to Construct a Class of Daubechies Orthogonal Scaling Functions

Abstract

Keywords

Disciplines

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