Journal of Zhejiang University-SCIENCE A

, Volume 1, Issue 1, pp 15–19 | Cite as

A new computing multivariate spectral analysis method based on wavelet transform

  • Cheng Yi-yu
  • Chen Min-jun
Science & Engineering


This paper proposes a new algorithm for multivariate calibration named Principal Component Regression Based on Wavelet (PCRW) which combines wavelet decomposition technique with the factor analysis method for establishing a duplicate denoising mechanism. A practical example in spectral analysis of a typical multicomponent pharmaceutical system was used to verify the effectiveness of the algorithm. It was shown that PCRW produced fewer prediction errors than those obtained by using PCR.

Key words

spectral analysis wavelet transform multivariate calibration chemometrics PCRW 

Document code

CLC number

O652.9 O657 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bao Lunjun, Mo Jinyuan and Jang Zuying, 1997. The application in processing analytical chemistry signal of a cardinal spline approach to wavelets.Anal. Chem. 69: 3053CrossRefGoogle Scholar
  2. Bos, M. and Hoogendam, E., 1992. Wavelet transform for the evaluation of peak intensities in flow-injection analysis.Anal. Chim. Acta,267: 73.CrossRefGoogle Scholar
  3. Bos, M. and Vrielink, J. A. M., 1994. The wavelet trans-form for pro-processing IR spectra in the identification of mono and di-Substituted benzenes.Chemom. & Intell. Lab. Syst.,23: 115.CrossRefGoogle Scholar
  4. Geladi, P., Kowalski, B. R., 1986. Partial lest-squares regression: A tutorial.Anal. Chim. Acta,185: 1.CrossRefGoogle Scholar
  5. Halland, D. M. and Thomas, E. V., 1988. Partial least-squares methods for spectral analysis.Anal. Chem.,60: 1193.CrossRefGoogle Scholar
  6. Henk, L. C. and Thomas, L., 1992. Computer-Enhanced analytical spectroscopy, Volume III. Plenum Press, New York and London, p. 1–2.Google Scholar
  7. Lu Xiaoquan, Mo Jingyuan, 1996. Wavelet analysis as a new method in analytical chemometrics.Chinese J. of Anal. Chem.,24: 1100 (in Chinese with English abstract).Google Scholar
  8. Mallat, S., 1989. A theory for multiresolution signal decomposition: The wavelet representation.IEEE Trans. Pattern Anal. Machine Intell.,11: 774.CrossRefMATHGoogle Scholar
  9. Mallat, S. and Hwang, W. L., 1992. Singularities detection and processing with wavelets.IEEE Trans. on Inform. Theory,38: 617.MathSciNetCrossRefMATHGoogle Scholar
  10. Pan Zhongxiao, Si Shengzhu, Nie Shengzhe et al., 1992. Factor analysis in chemistry. Chinese Science and Technology University Press, Hefei, p. 184 (in Chinese).Google Scholar
  11. Yulong Xie, Kalivas, J. H., 1997. Loal prediction models by principal component regression.Anal. Chim. Acta.,348: 29.CrossRefGoogle Scholar

Copyright information

© Zhejiang University Press 2000

Authors and Affiliations

  • Cheng Yi-yu
    • 1
  • Chen Min-jun
    • 1
  1. 1.Dept. of Chemical EngineeringYuquan Campus of Zhejiang UniversityHangzhouChina

Personalised recommendations