%0 Journal Article
%T A Novel Weighted Wavelet with Subdivision<br>一种新的细分加权小波
%A HOU Xia
%A HU Shou-Song
%A <br>侯霞
%A 胡寿松
%J 自动化学报
%D 2004
%I 
%X A novel weighted wavelet is constructed by using the subdivision scheme andrecursive average interpolated method.Its characteristics is respectively proved to be compactsupported,smooth,vanishing moment,and orthogonal.Cornpared with the common waveletby the Fourier transform,the decay of weighted wavelet coefficient is faster than that of thecommon wavelet.Furthermore,the method is simple and easily applied.Its computationalcomplexity is greatly reduced.The simulation demonstrate that the weighted wavelet issufficiently smooth even though the weighted function has a large jump,and that it canapproximate functions exactly and the approximated convergence is faster.
%K Weighted wavelet
%K scaling function
%K dual wavelet
%K compactly supported
%K subdivision<br>加权小波
%K 尺度函数
%K 对偶小波
%K 紧支撑性
%K 细分法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=4A061BF8B90282D3&yid=D0E58B75BFD8E51C&vid=340AC2BF8E7AB4FD&iid=B31275AF3241DB2D&sid=5E7C14876566242F&eid=E947FD4445DA7BA0&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=6