Shifted Cubic Spline Wavelets with Two Vanishing Moments on the Interval and a Splitting Algorithm-Reference-Cited by-同舟云学术

Shifted Cubic Spline Wavelets with Two Vanishing Moments on the Interval and a Splitting Algorithm

Published:2020-07-22 Issue: Volume:19 Page:149-158
ISSN:1109-2777
Container-title:WSEAS TRANSACTIONS ON SYSTEMS
language:en
Short-container-title:

Author:

Shumilov Boris¹

Affiliation:

1. Department of Applied Mathematics, Tomsk State University of Architecture and Building, Tomsk, Russia

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

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

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