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通过对样条小波特性的研究发现，如果用三次样条函数的导函数二次样条函数作为小波基函数，其小波变换既具有去噪功能又具有微分功能．从理论上探讨了信号的样条小波变换与信号微分的关系，并将其应用于电分析化学信号的处理．研究结果表明，利用样条小波变换可以对信号微分．与其他小波变换相比较，样条小波变换可同时实现信号滤波和微分功能；与数字微分和模拟微分相比较，样条小波变换不仅具有滤波功能，而且由于不用选择步长、ＲＣ常数等参数，使操作简单、计算量较小；与用 Ｄａｕｂｅｃｈｉｅｓ函数的小波微分法比较，该方法具有微分次数不依赖于原始数据中数据点的数目和被处理信号信噪比的高低的优点．
By studying the characteristics of spline wavelet, we find that if we use the quadratic spline function of the quadratic spline function as the wavelet basis function, the wavelet transform has both denoising function and differential function. The relationship between signal spline wavelet transform and signal differential is discussed theoretically and applied to the processing of electrical analytical chemical signals. The results show that the signal can be differentiated using spline wavelet transform. Compared with other wavelet transforms, spline wavelet transform can realize both signal filtering and differential functions. Compared with digital differential and analog differential, spline wavelet transform not only has the filtering function, but also does not need to select the step size, RC constants and other parameters, Compared with the wavelet differential method using Daubechies function, this method has the advantage that the number of differentiation does not depend on the number of data points in the original data and the signal-to-noise ratio of the processed signal.