阶跃伏安法信号的样条小波分析

采用样条小波基处理低信噪比的阶跃伏安法离散数据。仿真实验和化学实验结果表明,样条小波分析含强白噪声的信号时,能保真地提取出有用信号,信噪比(S/N)降低至0.1～0.2.这种方法具有不需设置目标函数、窗口函数、初值估计等优点,同时运算简单、节省储存空间。因此,样条小波运用于信号分析较现行方法优越,并具有广阔的应用前景。

Spline Wavelets Analysis of Step Voltammetry Signals

For the first time,this paper presents spline wavelets application to step voltammetry signals,The method has advantages as follows:taking short time to deal with all data,having no necessary to find the relations with variables in any other systems,handling the target functions and initial conditions directly from sample data and obtaining few data necessarily.Some reasonable noises are added to the theoretical data,Signal-to-noise ratio varies from 0.1 to 100.The result is satisfactory and exciting even if the S/Nratio decreases to 0.15.Experimental data from a low concentration of Ti(Ⅳ)-H₂C₂O₄ and W (Ⅳ)+Mo(Ⅳ)-HAPP-KClO₃ system are utilized to demonstrate the application of wavelet analysis.The agreement between the theoretical and experimental results is excellent.