Simultaneous Determination of Sm(Ⅲ) and Y(Ⅲ) by Spectrophotometry with a Wavelet Packet Transform Latent Variable Regression
GAO Ling1,LI Jin-mei2,REN Shou-xin1
1. College of Chemistry and Chemical Engineering, Inner Mongolia University, Hohhot 010021, China 2. College of Law, Inner Mongolia University, Hohhot 010021, China
Abstract:A wavelet packet transform latent variable regression (WPLVR) method was developed to perform simultaneous quantitative analysis of Sm(Ⅲ) and Y(Ⅲ). The quality of the noise removal was improved by combining wavelet packet transform with latent variable regression (VLR). Wavelet packet representations of signals provided a local time-frequency description, thus in the wavelet domain, the quality of the noise removal can be improved. The latent variables were made by projecting the wavelet packet processed signals onto orthogonal basis eigenvectors. The latent variable is expressible in term of linear combination of the original signals. By this method one can obtain highly selective information from unselective full-spectrum data. Through optimization, the wavelet function and wavelet packet decomposition levels (L) were selected. Two programs, PWPLVR and PFTLVR, were designed to perform WPLVR and Fourier transform latent variable regression (FTLVR) calculations. Experimental results showed that both methods were successful, but the WPLVR methed was better than FTLVR.
[1] LIANG Yi-zeng, YU Ru-qin(梁逸曾,俞汝勤). Handbook of Analytical Chemistry 10: Chemometrics (分析化学手册, 10: 化学计量学). Beijing: Chemical Industry Press(北京:化学工业出版社),2000. [2] Feudale R N, Liu Y, Woody N A, et al. Journal of Chemometrics, 2005, 19: 55. [3] ZHAO Rui-zhen, HU Zhan-yi, ZHAO Yong-heng(赵瑞珍,胡占义,赵永恒). Spectroscopy and Spectral Analysis(光谱学与光谱分析),2005,25(1):153. [4] Ren Shouxin, Gao Ling. Talanta, 2000, 51: 1163. [5] GAO Ling, REN Shou-xin(高 玲, 任守信). Spectroscopy and Spectral Analysis(光谱学与光谱分析), 2004, 24(1): 106. [6] Gao Ling, Ren Shouxin. Spectrochimica Acta Part A, 2005, 61: 3013. [7] Coifman R R, Wickerhauser M V. IEEE Trans. on Information Theory, 1992, 38: 713. [8] Donald D, Everingham Y, Coomans D. Chemometrics and Intelligent Laboratory Systems, 2005, 77: 32. [9] Donoho D L. IEEE Transaction of Information Theory , 1995, 41(3): 613. [10] Ren Shouxin, Gao Ling. Journal of Automatic Chemistry, 1995, 17: 115.