小波域色谱重叠峰分析的基函数选择  

Basis Selection for the Analyzing of Overlapping Chromatographic Peaks in Wavelets Domain

作　　者：李钰[1] 王圣伟[1] 林兆培 

机构地区：[1]华东理工大学信息科学与工程学院,上海200237

出　　处：《华东理工大学学报（自然科学版）》2014年第6期752-757,共6页Journal of East China University of Science and Technology

摘　　要：小波变换在色谱信号处理中有着广泛的应用。但是针对同一类型的信号,选择不同的小波基函数进行处理的效果是不同的。因此,小波变换在信号处理过程中表现出更强灵活性的同时,如何选择小波基一直是利用小波变换进行色谱信号处理的关键问题。本文从小波基函数的数学理论出发,提出了一种基于相似度准则和能量泄漏最小原理的色谱重叠峰分析小波基选择方法。该方法结合了色谱信号的特征,考虑了采样率对信号变换前后产生的能量变化;对色谱信号处理中优化小波基的选择具有重要意义。并且,可以通过能量变化关系在有效采样率范围内选择合适的采样率。仿真实验结果表明,本文提出的方法可以为色谱重叠峰分析小波基函数选择提供依据。Wavelet transform has a wide application in chromatography signal processing. However, for the same signal type, the different selections of wavelet basis function will cause different results. Hence, how to choose a best wavelet basis has been a key problem for the use of the wavelet transform in the signal processing. In this paper, by means of the similarity criteria and the least energy leakage principle, a selecting method on the best wavelet is proposed for the analyzing of overlapping chromatographic peaks. The proposed method integrates the characteristic of chromatography signal and considers the changing of energy at different sampling rates. Furthermore, the appropriate sampling rate can also be selected according to the energy changing with the optimized wavelet basis. Finally, simulation results in the overlapping chromatographic peaks signal processing show that the proposed method is feasible.

关 键 词：小波基 色谱 重叠峰 相似度准则 能量最小泄漏原理 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]