三种B-样条小波基处理重叠信号的比较  

Compare of three B -spline wavelet bases in processing overlapped signals

作　　者：张永清[1] 王立世[1] 莫金垣[2] 

机构地区：[1]华南理工大学应用化学系,广东广州510640 [2]中山大学化学与化学工程学院,广东广州510275

出　　处：《计算机与应用化学》2003年第5期690-692,共3页Computers and Applied Chemistry

基　　金：国家自然科学基金(29975033;20005003);广东省自然科学基金(980340);华南理工大学自然科学基金项目(E5126247)

摘　　要：以B-样条小波为分析小波,提出了用于分析化学重叠信号解析的新方法—连续样条小波变换。详细讨论了采用二阶、三阶、四阶基数B-样条小波函数时,连续样条小波变换对重叠信号的解析,结果表明:连续样条小波变换应用于分析化学信号的处理,能使峰变窄同时还能提高信号的信噪比,是一种新型有效的重叠信号解析方法;对比三种样条小波基的处理结果,二阶B-样条小波基优于其余两种。A novel method for resolving overlapped signals was proposed, which was called continuous spline wavelet transform (CSWT). The method takes B -spline wavelet as analyzing wavelet. The resolution of overlapped signals processed by CSWT was investigated in details, in which the second-order, third-order and the forth-order B -spline wavelet were used as analyzing wavelet respectively. It was shown that CSWT was an effective method to resolve overlapped signals. The peaks of processed signals were narrower and the signal - to-noisy ratio of signal processed by CSWT was enhanced compared with the overlapped signals. After comparing the signals obtained from three spline wavelet bases, we found that the second-order B -spline wavelet was superior to the two others.

关 键 词：连续样条小波变换 B-样条小波 信号重叠 化学分析 信号处理 

分 类 号：O65[理学—分析化学] O6-051[理学—化学]