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.
出处
《纺织高校基础科学学报》
CAS
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)
关键词
规范紧框架小波
维数函数
超小波
normalized tight frame wavelets
dimension function
super-wavelets
