N维2带小波紧框架的构造  

CONSTRUCTION OF N-DIMENSIONAL TWO-BAND TIGHT WAVELET FRAMES

作　　者：何永滔[1] 

机构地区：[1]中山大学数学与计算科学学院,广州510275

出　　处：《系统科学与数学》2010年第10期1368-1378,共11页Journal of Systems Science and Mathematical Sciences

摘　　要：给出了m个函数生成N维2带小波紧框架的充分条件和N维2带小波紧框架的显式构造算法,讨论了小波紧框架的分解算法与重构算法.提出的构造方法很有普遍性,容易推广到N(N(?)2)维M(M(?)2)带小波紧框架的情形,也可以得到类似的小波紧框架的分解算法与重构算法.In this paper,sufficient condition for N-dimensional two-band tight wavelet frames and explicit algorithm for the construction of tight wavelet frames are presented.The decomposition and reconstruction formulas of iV-dimensional two-band tight wavelet frames are also provided.The methods presented here have generality,the N-dimensional M-band tight wavelet frames can be constructed similarly,and the similar decomposition and reconstruction formulas of tight wavelet frames can be obtained.

关 键 词：小波紧框架 尺度函数 框架多分辨分析 

分 类 号：O174.2[理学—数学]