快速提升小波变换及其在电位滴定信号处理中的应用

介绍了快速提升小波变换的原理和实现步骤，提出了一种基于提升算法的快速小波变换确定电位滴定终点新方法。分别对HAc、H2C2O4、H3PO4及苯酚的滴定曲线进行提升小波变换得到小波系数γNaOH，所得小波系数的极大值对应于滴定曲线的突跃部分。研究发现，滴定突跃越大，｜γ｜越大，酸性越弱，峰越宽。将由提升算法得到的计算结果与由实际加入的酸的量而求出在达到终点时理论上应消耗NaOH体积进行对照，验证了快速提升小波变换确定电位滴定终点的可靠性。对电位滴定实验数据的处理结果表明，该法快速、准确，可为计算机实时确定电位滴定终点开辟一条新的途径。

Fast lifting wavelet transform method and its application in treatment of potentiometric titration signal

An introduction of a novel wavelet transformation method based on fast lifting algorithm and steps of accomplishment is described in some more detail. As an application of the fast lifting scheme, a new strategy for determination of potentiometric titration end-point is proposed. Take advantage of fast lifting wavelet, the coefficients that the max absolute values corresponding to inflection points(generally imply end-points) are obtained from the titration profiles of HAc,H2C2O4 ,H3PO4 and Phenol. It has been shown that the higher titration jump is, the larger the absolute coefficients values are. A confirmatory test using conventional titration methodology has been done for the reliability of the lifting wavelet analysis. The results obtained by treatment of the titration data has shown that the proposed method has the advantages of prompt and accurate, which can provide a new way for determination of titration end-point in real time by hardware technique using computer.