化学信号小波变换的本质分析  

Analyzing the Essence of Wavelet Transform for Processing Chemical Signal

作　　者：陈昌国[1] 龙英[1] 李纳[1] 

机构地区：[1]重庆大学化学化工学院,重庆沙坪坝400044

出　　处：《渝西学院学报（自然科学版）》2003年第4期5-8,共4页

基　　金：春晖计划资助项目(春晖 -[1999] 95 -10 )

摘　　要：根据墨西哥帽小波的特点 ,提出两种新的函数 ,对化学信号进行n次小波变换 ,得到了信号的近似 2n阶导数 .由数值微分法和小波变换法对模拟信号计算的结果发现 :对于含噪信号 ,小波变换法有效滤除了噪声 ,所得结果的信噪比明显高于前一种方法 ;同时还可分离重叠峰 ,提高谱图分辨率 .该方法函数形式简单 ,易于编程 。Two new functions based on the property of bubble wavlelt are proposed.An approximate 2nth derivative of an analytical signal can be obtained by applying n times of the wavelet transform to the signal.By comparing the results obtained from two different methods—the conventional numercal differentiation and the proposed wavlelt transform method,we find that the signal-to-noise ration of the result obtained by the wavlet transform method is enhanced greatly comparing with the former method for noisy signals.Meanwhile it can resolve the overlapped spectra peaks.In view of simple functions and programs,this method is an efficient path to process chemical signals.

关 键 词：小波变换 墨西哥帽小波 信号处理 

分 类 号：O6-04[理学—化学]