摘要
基于仿酉矩阵扩充方法,本文构造了一维d带紧支撑的最小能量框架,给出了一维d带紧支撑最小能量框架的显式构造算法.所构造的最小能量框架的支撑不超过尺度函数的支撑.当所给的尺度函数具有对称性时,研究了紧支撑对称最小能量框架的结构.最后,构造了两个算例.
Based on the paraunitary matrix extension method,we construct d-band compactly supported minimum energy frame,an explicit algorithm for constructing d-band compactly supported minimum energy frame is also presented.The support of constructed minimum energy frame is not larger than that of the scaling function.When the scaling function has symmetry,we study the structure of compactly supported symmetric minimum energy frame.Finally,we give two examples.
出处
《计算数学》
CSCD
北大核心
2011年第2期165-176,共12页
Mathematica Numerica Sinica
基金
国家自然科学基金资助项目(No.11071261
No.10911120394)
关键词
最小能量框架
多相位分解
两尺度符号
框架多分辨分析
Minimum energy frame
Polyphase decomposition
Two-scale symbol
Frame multiresolution analysis
