框架小波的可扩展性(英文)  

On the extendability of frame wavelets

作　　者：王丽娟[1] 李万社[1] 江南[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2008年第3期289-294,共6页Basic Sciences Journal of Textile Universities

基　　金：the Natural Science Foundation of China(10571113)

摘　　要：规范紧框架小波的可扩展性是超小波理论的一个重要方面.阐述了规范紧框架小波的维数函数的定义和相关性质.作为维数函数的应用,更进一步地研究了框架小波的可扩展性,得到了一个规范紧框架小波可扩展成任何长度超小的充分条件.另外,给出一个例子和两个推论.The extendability of Normalized Tight Frame Wavelets（NTFW） plays an important role in the super-wavelets theory. The dimension function of NTFW was characterized by showing its definition and properties. As an application of dimension function, the extendability of frame wavelets were investigated,then a suffcient condition concerning a NTFW to be extendable to super-wavelets of any length was obtained. In addition, an example and two eorollaries are also given.

关 键 词：规范紧框架小波 维数函数 超小波 

分 类 号：O174.2[理学—数学]