%0 Journal Article
%T A simple method for generalizing classcal orthonormal wavelets and its applications<br>经典规范正交子波的一种简单广义化方法及其应用
%A Yuan Xiao
%A Chen Xiangdong
%A Wang Junbo
%A <br>袁晓
%A 陈向东
%A 王俊波
%J 电子与信息学报
%D 2002
%I 
%X A simple method which for generalizing the classical orthonormal wavelets is presented using investigation of the simplest Haar scaling function . A new kind of orthonormal wavelets is constructed from a classical orthonormal wavelets using the method proposed in this paper. These new wavelets inherit some basic properties of the corresponding classical wavelets, such as the orthonormality, the order of regularity, the time-frequency localization characteristics, and so on, meanwhile some performances of the new wavelets are improved. The generalized Haar wavelet, the generalized Shannon wavelet and the generalized Meyer wavelet, the generalized Daubechies wavelets are discussed emphatically. Finally, based on the new wavelet system, some fast algorithms for analytic wavelet transform analysis of real signals are studied.
%K Generalized Haar wavelet
%K Scaling coefficient function
%K Time-shift factor
%K Analytic analysis
%K Pyramid algorithm<br>规范正交子波
%K 广义Haar子波
%K 尺度系数函数
%K 时移因子
%K 解析分析
%K 快速算法
%K 子波构造
%K 信号处理
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=1319827C0C74AAE8D654BEA21B7F54D3&jid=EFC0377B03BD8D0EF4BBB548AC5F739A&aid=64B689D601C846E8&yid=C3ACC247184A22C1&vid=B91E8C6D6FE990DB&iid=59906B3B2830C2C5&sid=6405D27FCB03BF0F&eid=AF251ABCE889FAF8&journal_id=1009-5896&journal_name=电子与信息学报&referenced_num=8&reference_num=14