%0 Journal Article
%T CONSTRUCTION OF N-DIMENSIONAL TWO-BAND TIGHT WAVELET FRAMES<br>N维2带小波紧框架的构造
%A HE Yongtao
%A <br>何永滔
%J 系统科学与数学
%D 2010
%I 
%X In this paper, sufficient condition for $N$-dimensional two-band tight wavelet frames and explicit algorithm for the construction of tight wavelet frames arepresented. The decomposition and reconstruction formulas of $N$-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.
%K Tight wavelet frames
%K scaling function
%K frame multiresolution analysis<br>小波紧框架
%K 尺度函数
%K 框架多分辨分析.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=182DDEF114248EF9A2B64DA7DB0D3DA8&yid=140ECF96957D60B2&vid=F3090AE9B60B7ED1&iid=F3090AE9B60B7ED1&sid=5A64531D29896B77&eid=9129323FE7AA9847&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0