N维2带小波紧框架的构造

CONSTRUCTION OF N-DIMENSIONAL TWO-BAND TIGHT WAVELET FRAMES

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.