Biorthogonal Wavelet on a Logarithm Curve  ℂ  | Zendy

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Biorthogonal Wavelet on a Logarithm Curve

ℂ

Author(s) -

Xiaohui Zhou,

Wang Gang

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/7985069

Subject(s) - mathematics , biorthogonal system , logarithm , biorthogonal wavelet , wavelet , euler's formula , discretization , discrete mathematics , mathematical analysis , wavelet transform , artificial intelligence , computer science

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.

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