Boris Shumilov, "Shifted Cubic Spline Wavelets with Two Vanishing Moments on the Interval and a Splitting Algorithm," WSEAS Transactions on Systems, vol. 19, pp. 149-158, 2020, DOI:10.37394/23202.2020.19.20
Boris Shumilov. Shifted Cubic Spline Wavelets with Two Vanishing Moments on the Interval and a Splitting Algorithm.
WSEAS Transactions on Systems. 2020;19:149-158. 10.37394/23202.2020.19.20
WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 19, 2020
Shifted Cubic Spline Wavelets with Two Vanishing Moments on the Interval and a Splitting Algorithm
Author:
Abstract: This paper deals with the use of the first two vanishing moments for constructing cubic spline-wavelets orthogonal to polynomials of the first degree. A decrease in the supports of these wavelets is shown in comparison with the classical semiorthogonal wavelets. For splines with homogeneous Dirichlet boundary conditions of the second order, an algorithm of the shifted wavelet transform is obtained in the form of a solution of a tridiagonal system of linear equations with a strict diagonal dominance
Pages: 149-158 WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 19, 2020, Art. #20 DOI: 10.37394/23202.2020.19.20
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