Application of spline wavelet transform in differential of electroanalytical signal

Investigating characteristics of spline wavelet, we found that if the two-o rder spline function, the derivative function of the three-order B spline f unction, is used as the wavelet base function, the spline wavelet transform has both the property of denoising and that of differential. As a result, the relation between the spline wavelet transform and the differential was studied in theory. Experimental results show that the spline wavelet transf orm can well be applied to the differential of the electroanalytical signal . Compared with other kinds of wavelet transform, the spline wavelet transf orm has a characteristic of differential. Compared with the digital differe ntial and simulative differential with electronic circuit, the spline wavel et transform not only can carry out denoising and differential for a signal , but also has the advantages of simple operation and small quantity of cal culation, because step length, RC constant and other kinds of parameters ne ed not be selected. Compared with Alexander Kai-man Leung's differential me thod, the differential method with spline wavelet transform has the charact eristic that the differential order is not dependent on the number of data points in the original signal.