Open Access. Powered by Scholars. Published by Universities.®

Applied Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

None

Wavelet Analysis

Publication Year

Articles 1 - 4 of 4

Full-Text Articles in Applied Mathematics

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

In this paper, we will discuss the construction of biorthogonal wavelets that possess the largest possible regularities and required vanishing moments. For the sake of applications, we also give a general Daubechies’ iteration method of constructing biorthogonal wavelets by using biorthogonal splines.


Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

No abstract provided.


Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He Dec 2000

Biorthogonal Wavelets With Certain Regularities, Tian-Xiao He

Tian-Xiao He

No abstract provided.


Short Time Fourier Transform, Integral Wavelet Transform, And Wavelet Functions Associated With Splines, Tian-Xiao He Dec 1997

Short Time Fourier Transform, Integral Wavelet Transform, And Wavelet Functions Associated With Splines, Tian-Xiao He

Tian-Xiao He

In this article, we discuss short time Fourier transforms, integral wavelet transforms, and wavelet series expansions associated with spline functions in shift-invariant spaces of B-splines. A recurrence relation formula and the corresponding algorithm about the B-wavelets are also given.