Ren Shouxin, Gao Ling
Department of Chemistry, Inner Mongolian University, 010021, Huhhot, Inner Mongolia, China.
Anal Bioanal Chem. 2004 Mar;378(5):1392-8. doi: 10.1007/s00216-003-2395-y. Epub 2004 Jan 28.
This paper presents a novel method, named wavelet packet transform based multilayer feedforward neural network with Levenberg-Marquardt and back propagation algorithm (WPTLMBP), developed for simultaneous kinetic determination of Cu(II), Fe(III), and Ni(II). Wavelet packet representations of signals provided a local time-frequency description, thus in the wavelet packet domain the quality of noise removal can be improved. The artificial neural network was applied for non-linear multivariate calibration. In this study, by optimization, wavelet packet function, decomposition level and number of hidden nodes for WPTLMBP method were selected as Db2, 2, and 4 respectively. A program PWPTLMBP was designed to perform simultaneous kinetic determination of Cu(II), Fe(III), and Ni(II). The relative standard error of prediction (RSEP) for all components with WPTLMBP, LM-BP-MLFN, and PLS methods were 6.39, 10.4, and 8.30%, respectively. Experimental results showed the proposed method to be successful and better than the others.
本文提出了一种名为基于小波包变换的多层前馈神经网络结合Levenberg-Marquardt和反向传播算法(WPTLMBP)的新方法,用于同时动力学测定铜(II)、铁(III)和镍(II)。信号的小波包表示提供了局部时频描述,因此在小波包域中可以提高去噪质量。人工神经网络用于非线性多变量校准。在本研究中,通过优化,WPTLMBP方法的小波包函数、分解层数和隐藏节点数分别选择为Db2、2和4。设计了一个程序PWPTLMBP来同时动力学测定铜(II)、铁(III)和镍(II)。WPTLMBP、LM-BP-MLFN和PLS方法对所有组分的预测相对标准误差(RSEP)分别为6.39%、10.4%和8.30%。实验结果表明所提出的方法是成功的,并且优于其他方法。