连续样条小波变换解析高噪声重叠分析信号

华南理工大学学报（自然科学版） ›› 2005, Vol. 33 ›› Issue (2): 79-81.

连续样条小波变换解析高噪声重叠分析信号

王立世¹ 张永清¹ 莫金垣²

1．华南理工大学环境科学与工程学院，广东广州 510640；2．中山大学化学与化学工程学院，广东广州 510275

收稿日期:2004-05-21 出版日期:2005-02-25 发布日期:2005-02-25
通信作者: 张永清，E—mail：zhangyq@scut．edu．cn E-mail:wanglsh@scut.edu.cn
作者简介:王立世(1967-)，男，副教授，主要从事分析化学及分析仪器方面的研究．
基金资助:
国家自然科学基金资助项目(20005003)；华南理工大学自然科学基金资助项目(E5124267)

Resolution of High-Noisy Overlapped Analytical Signals by Means of Continuous Spline Wavelet Transform

Wang Li-shi¹ Zhang Yong-qing¹ Mo Jin-yuan²

1.College of Environmental Science and Engineering,South China Univ.of Tech.,Guangzhou 5 10640,Guangdong,China;2.School of Chemistry and Chemical Engineering,Sun Yat·sen Univ.,Guangzhou 510275,Guangdong,China

Received:2004-05-21 Online:2005-02-25 Published:2005-02-25
Contact: 张永清，E—mail：zhangyq@scut．edu．cn E-mail:wanglsh@scut.edu.cn
About author:王立世(1967-)，男，副教授，主要从事分析化学及分析仪器方面的研究．
Supported by:
国家自然科学基金资助项目(20005003)；华南理工大学自然科学基金资助项目(E5124267)

摘要/Abstract

摘要： 采用连续样条小波变换方法对化学中高噪声重叠信号中峰位置和峰数目的提取进行了分析，讨论了信噪比、重叠程度、信号相邻峰高比对重叠信号解析的影响．结果表明：对于信噪比低至1的高噪声信号，采用连续样务小波变换处理能够得到重叠信号的峰位置和峰数目；连续样条小波变换对于高噪声重叠信号具有较好的解析能力，为低含量多组分物质的复合信号的定性定量分析提供了基础；该方法与离散小波变换法相比，数据点无须为2ⁿ (n为整数)，并且不需要对信号进行多次分解，因此简单快速．

关键词: 连续样条小波变换, 信号分析, 高噪声, 重叠峰

Abstract:

The continuous spline wavelet transform is employed to the resolution of high-noisy overlapped signals in analytical chemistry to obtain the location and the number of the overlapped peaks.The effects of the signal-to-noisy ratio(SNR),the overlapping degree and the peak height ratio between two adjacent peaks on the resolution aye then discussed．The results show that,by using the continuous spline wavelet transform ,the location and number of the overlapped peaks can be obtained when the SNR of the signal is down to 1.Moreover,the high-noisy over-lapped signals can be resolved well,thus providing references to the qualitative and quantitative analyses of the complex signals of low-content multi-component substances.It is also indicated that,comparing with the discrete wavelet transform,the continuous spline wavelet transform is of the advantages of simplicity and quickness because a data number 2ⁿ(n is an integer)and a multi-resolution are not needed.

Key words: continuous spline wavelet transform, signal analysis, high noisy, overlapped peak

王立世张永清莫金垣. 连续样条小波变换解析高噪声重叠分析信号[J]. 华南理工大学学报（自然科学版）, 2005, 33(2): 79-81.

Wang Li-shi Zhang Yong-qing Mo Jin-yuan. Resolution of High-Noisy Overlapped Analytical Signals by Means of Continuous Spline Wavelet Transform[J]. Journal of South China University of Technology (Natural Science Edition), 2005, 33(2): 79-81.