Biorthogonal Wavelet on a Logarithm Curve ℂ

Biorthogonal Wavelet on a Logarithm Curve ℂ

According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equati...

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Main Authors: Xiaohui Zhou, Gang Wang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/7985069
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spelling doaj-f0500100e3bd4f84b90851282fa8b33b2021-03-15T00:00:45ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/7985069Biorthogonal Wavelet on a Logarithm Curve ℂXiaohui Zhou0Gang Wang1School of MathematicsSchool of Mathematics ScienceAccording to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equation and symmetry. Moreover, an example is given for discussing the biorthogonal scaling function and its dual on a logarithm curve C. Finally, a numerical application is given for dealing with financial data.http://dx.doi.org/10.1155/2021/7985069
collection DOAJ
language English
format Article
sources DOAJ
author Xiaohui Zhou
Gang Wang
spellingShingle Xiaohui Zhou
Gang Wang
Biorthogonal Wavelet on a Logarithm Curve ℂ
Journal of Mathematics
author_facet Xiaohui Zhou
Gang Wang
author_sort Xiaohui Zhou
title Biorthogonal Wavelet on a Logarithm Curve ℂ
title_short Biorthogonal Wavelet on a Logarithm Curve ℂ
title_full Biorthogonal Wavelet on a Logarithm Curve ℂ
title_fullStr Biorthogonal Wavelet on a Logarithm Curve ℂ
title_full_unstemmed Biorthogonal Wavelet on a Logarithm Curve ℂ
title_sort biorthogonal wavelet on a logarithm curve ℂ
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description According to the length-preserving projection and Euler discretization method, biorthogonal wavelet function on a smooth curve C is constructed in this paper, such as a logarithm curve. The properties of biorthogonal wavelet filters on a smooth curve C are discussed, such as induced refinable equation and symmetry. Moreover, an example is given for discussing the biorthogonal scaling function and its dual on a logarithm curve C. Finally, a numerical application is given for dealing with financial data.
url http://dx.doi.org/10.1155/2021/7985069
work_keys_str_mv AT xiaohuizhou biorthogonalwaveletonalogarithmcurvec
AT gangwang biorthogonalwaveletonalogarithmcurvec
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