%0 Journal Article
%T A New Biorthogonal Wavelet with Very Simple Coefficients<br>一个新的带非常简单系数的双正交小波
%A ZHOU Hua-yu
%A YANG Tan
%A GUAN Lu-tai University
%A Guangzhou
%A <br>周化雨
%A 杨坦
%A 关履泰
%J 中国图象图形学报
%D 2007
%I 
%X Constructing wavelets via the lifting scheme with indeterminate coefficient has been proposed recently.The constructed lifting schemes generally have four steps.Differently we use the five-step lifting scheme to construct wavelet.Finally,we obtain a wavelet with very simple coefficients especially in its lifting scheme.Its order of vanishing moments is the same with that of D9/7 wavelet,but the coefficients of the corresponding filters are simple fractions.In its lifting scheme,the denominators of all coefficients are the power of 2 and the numerators are 1.Every step of the lifting algorithm only needs a shift operation with 0 to 3 bits.This wavelet approaches or exxceeds D9/7 wavelet in some mathematical properties,which will be verified in the numerical experiments of image compressions.
%K lifting scheme
%K vanishing moments
%K biorthogonal wavelets<br>提升格式
%K 消失矩
%K 双正交小波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=D06194629680C940ACE75262F54B9D85&aid=605EB88E695785EA&yid=A732AF04DDA03BB3&vid=59906B3B2830C2C5&iid=DF92D298D3FF1E6E&sid=53A4507B400B4E65&eid=8339CA1DD1F3C6AB&journal_id=1006-8961&journal_name=中国图象图形学报&referenced_num=0&reference_num=13