%0 Journal Article
%T Using TST Constructing Biorthogonal Low Pass Multi-filters with Higher Approximation Order<br>利用双尺度相似变换构造高逼近阶的双正交多低通滤波器
%A Zhang Bin
%A Wang Jun-feng
%A Song Guo-xiang
%A <br>张彬
%A 王军锋
%A 宋国乡
%J 电子与信息学报
%D 2003
%I 
%X This paper presents a detailed method on constructing multi-scaling functions with fractal interpolation functions, then calculates that detH0(z) and detHo(-z) have no common roots, and obtains F0(z) the dual low pass multi-filter of H0(Z) with the perfect reconstruction condition of biorthogonal low pass multi-filters. In order to construct the dual low pass multi-filter of H0(z) with higher approximation order, the two-scale similarity transform is taken for H0(z), then and its dual H0newt(z) is obtained. After applying corresponding inverse transform to F0new(z), the dual low pass multi-filter of H0(z) with higher approximation order is achieved.
%K Fractal interpolation functions
%K The approximation order of multi-scaling functions
%K Two-scale Similarity Transform(TST)
%K Biorthogonal multi-scaling functions<br>分形插值函数
%K 逼近阶
%K 双尺度相似变换
%K 双正交多尺度函数
%K 低通滤波器
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=0C9E66645990A0F5&yid=D43C4A19B2EE3C0A&vid=C5154311167311FE&iid=59906B3B2830C2C5&sid=B221F15A486F30C1&eid=8D0822DF60ACC08F&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=0&reference_num=5