MRA超小波的一种判定  

A characterition of MRA super-wavelets

作　　者：王凤兰[1] 李炳杰[1] 

机构地区：[1]空军工程大学理学院,陕西西安710051

出　　处：《南阳师范学院学报》2009年第9期1-5,共5页Journal of Nanyang Normal University

基　　金：国家自然科学基金资助项目(10571113)

摘　　要：超小波是小波分析中一种特殊的信号分析方法.从讨论超小波分量的角度出发,论证了直和希尔伯特空间L2(R)(m)=sum from j=1 to m  L2(R)中超小波是MRA超小波的充分必要条件.即一个超小波是MRA结构当且仅当每个特殊线性子空间的维数是0或者1.The super-wavelets is a special signal analysis method in wavelet analysis. From the angle that dicussing the component of super-wavelets, we developed a theory of the MRA super-wavelets, which is necessary and sufficient conditions of super-wavelets arises from MRA construction. It is shown that a super-wavelet arises from our MRA construction if and only if the dimension of each particular linear space is either zero or one.

关 键 词：框架小波 规范紧框架小波 超小波 MRA超小波 

分 类 号：O174.2[理学—数学]