摘要
给出了正交样条的定义和性质 ,说明了可以用正交样条构造尺度函数和小波 ,重点研究了基于正交样条周期小波的分解和重构算法 ,给出了周期小波的分解公式和重构公式 .本文的工作将实直线小波的分解和重构算法推广到周期小波 ,从而丰富了周期小波的有关理论 ,为周期小波在工程实际中的应用提供了重要的理论指导 .
The definition and the properties of orthogonal splines and construction of periodic scaling functions and wavelets from orthogonal splines are presented in this paper.We focus on the decomposition algorithms and reconstruction algorthms of periodic wavelets based on orthogonal splines,and give out decomposition formula and reconstruction formula of periodic wavelets.We generalize decomposition and reconstruction algorithms of wavelets in a real line to periodic wavelets so that we enrich the theory of periodic wavelets.The results give theoretical guidance to the applications of periodic wavelets in the engineering.
出处
《商丘师范学院学报》
CAS
2001年第6期31-35,共5页
Journal of Shangqiu Normal University
基金
国家自然科学基金 (6 9982 0 0 2 )
河南省教育厅科学研究计划项目 (2 0 0 0 110 0 19)
关键词
正交样条
周期小波
分解算法
重构算法
orthogonal splines
periodic wavelets
decomposition algorithms
reconstruction algorithms
