南京信息工程大学学报
南京信息工程大學學報
남경신식공정대학학보
Journal of Nanjing University of Information Science & Technology
2015年
5期
475-480
,共6页
框架多分辨分析%小波紧框架%尺度函数
框架多分辨分析%小波緊框架%呎度函數
광가다분변분석%소파긴광가%척도함수
frame multiresolution analysis%wavelet tight frame%scaling function
研究了n维α带小波紧框架的结构,给出了m个函数生成n维α带小波紧框架的充分条件,并给出构造该小波紧框架的显式算法,最后给出了构造小波紧框架的数值算例.
研究瞭n維α帶小波緊框架的結構,給齣瞭m箇函數生成n維α帶小波緊框架的充分條件,併給齣構造該小波緊框架的顯式算法,最後給齣瞭構造小波緊框架的數值算例.
연구료n유α대소파긴광가적결구,급출료m개함수생성n유α대소파긴광가적충분조건,병급출구조해소파긴광가적현식산법,최후급출료구조소파긴광가적수치산례.
In this paper,the construction of wavelet tight frames with dilation factor α in Rn are studied.Sufficient conditions for existence of wavelet tight frames generated by the m functions are presented,and explicit algorithms for the construction of the wavelet frames are provided.Finally,an example of wavelet tight frames is offered.
