复数Daubichies小波的系统构造方法  

Systematic Configuration of Complex Daubichies Wavelet

作　　者：耿云玲[1] 刘中艳[1] 单庆晓[1] 

机构地区：[1]国防科技大学机电工程与自动化学院,湖南长沙410073

出　　处：《测试技术学报》2016年第3期185-190,共6页Journal of Test and Measurement Technology

基　　金：国家自然科学基金资助项目(51077046)

摘　　要：从二带完全重构滤波器组的概念出发,经理论推导提出了由实数Daubichies小波获得复数Daubichies小波的系统构造方法,并通过实例验证了该方法的正确性.在此基础上,深入研究了最大正则阶条件下,不同零点分布与复值滤波器及复值小波函数相应形式之间的关系,给出了当最大正则阶分别取奇数和偶数时,复值滤波器和复值小波函数在不同零点分布下的可能形式.Proceeding from the two-band perfect reconstruction filter banks,a systematic constructing method deriving complex Daubichies wavelets from the real ones is proposed on the bases of theory and then the rightness of the method is tested by real examples.Next,the relationship between the different distribution of the zeros and the related forms of complex filters or complex wavelets is studied deeply under the largest rank of regularity.Last,the probably forms of complex filters and complex wavelets are presented when the largest rank of regularity is odd or even.

关 键 词：信号检测 复数小波 滤波器组 核函数 尺度函数 

分 类 号：TM714[电气工程—电力系统及自动化]