%0 Journal Article
%T Analysis and research on a novel method of constructing wavelets: lifting factorization<br>离散子波提升算法研究及其性能分析
%A Wang Buhong
%A Wang Yongliang
%A Li Rongfeng
%A <br>王布宏
%A 王永良
%A 李荣峰
%J 电子与信息学报
%D 2002
%I 
%X Analysis and research on a novel method of constructing wavelets-lifting factorization is addressed. To arrive at a generalized interpretation of lifting based on the linear transform and transform matrix factorization, a new polyphase matrix representation is proposed. Moreover the equivalence of the conditions for perfect reconstruction between dual-subband FIR filtering implementation and the lifting is also proved. Additionally based on the duality theorem of complementary filter pairs, a new lifting factorization representation is suggested which brings lifting factorization to completion. Finally, to clarify the theory a concrete example of lifting factorization corresponding to (2, 2) biorthogonal wavelet transform is presented, and the algorithm performance including reversibility, in-place implementation ard computational complexity is also analyzed in brief.
%K Wavelet transform
%K Polyphase representation
%K Lifting<br>子波变换
%K 多相表示
%K 级联矩阵分解形式
%K 离散子波提升算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=AC70BE0BC2BB2BFB&yid=C3ACC247184A22C1&vid=B91E8C6D6FE990DB&iid=708DD6B15D2464E8&sid=D33D183F2D768286&eid=7AC3CCCDC6EFABE9&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=10