新型提升格式及其在小波构造中的应用  

New Type of Lifting Scheme and Its Application in Construction of Wavelets

作　　者：龚卫明[1] 

机构地区：[1]湖南城市学院数学系,湖南益阳413000

出　　处：《中南林学院学报》2006年第2期100-105,共6页Journal of Central South Forestry University

基　　金：国家自然科学基金项目"离散与小波变换整数实现算法及其在数字水印中的应用研究"(项目编号10171109)

摘　　要：提升格式作为一种新的小波分解计算过程使得运算量大大减少,但缺陷是不能有效构造小波.通过分解对称正交小波成为提升格式得到一新型提升格式,克服了已有提升格式的缺陷,并通过实例说明了算法的有效性.As a new computational process, the known lifting scheme is used to decrease the complexity, but it cannot be used to construct wavelets efficiently. In this paper, we presented a new kind of lifting scheme, which was obtained by fractionating symmetric orthogonal wavelets into lifting steps. Therefore, the weakness mentioned above is overcome, and some examples are given to illustrate it.

关 键 词：数学 提升格式 小波 计算复杂性 

分 类 号：O245[理学—计算数学]