复高斯子波及其起始尺度分析  

On the complex gaussian wavelets and their initial scale value

作　　者：徐媛媛[1] 袁晓[1] 汤韩杰[1] 帅晓飞[1] 张恒[1] 

机构地区：[1]四川大学电子信息学院,成都610064

出　　处：《四川大学学报（自然科学版）》2007年第6期1250-1254,共5页Journal of Sichuan University(Natural Science Edition)

摘　　要：用于小波分析的各种小波中,复高斯子波是一类特殊而重要的小波,作者先研究了复高斯子波的基本性质,接着简述了连续小波变换数值实现中复高斯子波起始尺度确定的基本原理,最后分析出均匀点格采样时连续小波变换数值实现中复高斯子波起始尺度的最佳取值.理论分析和计算结果表明:复高斯子波是一类对称的、有n阶消失矩及良好时-频局域化特性的小波,可广泛用于故障诊断,数据压缩,信噪分离等场合.同时,复高斯子波起始尺度的确定为信号复高斯子波分析的工程实现和理论研究解决了难题.Complex Gaussian wavelets are special and important wavelets in wavelets analysis, we study the essential character of complex Gaussian wavelets at first, then dissert the basal theory for getting the initial scale value in numerical value realize of the continuous wavelets transform, ascertain the optimal initial scale value of complex Gaussian wavelets in numerical value realize of continuous wavelets transform with regular sampling, analysis in theory and result of computer indicate： complex Gaussian wavelets are symmetry wavelets which the numbers of vanishing moments is n, and have better time-frequency.character, they can be widely used in diagnose fault, data compression, apart signal and noise and so on. While ascertain the initial scale value solve a problem of engineering achievement and research in theory for complex Gaussian wavelets analysis.

关 键 词：复高斯子波 复分析 起始尺度 消失矩 

分 类 号：TN91[电子电信—通信与信息系统]