Intelligent background correction using an adaptive lifting wavelet

Chemometrics and Intelligent Laboratory Systems

Volumn 125, Issue , 2013, Pages 11-17

  Liu, Yan ^a   Cai, Wensheng ^a   Shao, Xueguang ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

Adaptive filter; Background correction; Least mean square algorithm; Lifting scheme; Wavelet transform

Indexed keywords

PESTICIDE;

ALGORITHM; ANALYTIC METHOD; ARTICLE; BLOOD SAMPLING; CALCULATION; GAS CHROMATOGRAPHY; LIFTING SCHEME; MATHEMATICAL COMPUTING; NUCLEAR MAGNETIC RESONANCE; PRIORITY JOURNAL; RAMAN SPECTROMETRY; SIGNAL PROCESSING; TABLET FORMULATION; WAVELET ANALYSIS;

EID: 84876359083     PISSN: 01697439     EISSN: 18733239     Source Type: Journal    
DOI: 10.1016/j.chemolab.2013.03.010     Document Type: Article

References (42)

1. Walczak B., Massart D.L. Wavelets - something for analytical chemistry. TrAC-Trends in Analytical Chemistry 1997, 16:451-463.
2. Alsberg B.K., Woodward A.M., Kell D.B. An introduction to wavelet transforms for chemometricians: a time-frequency approach. Chemometrics and Intelligent Laboratory Systems 1997, 37:215-239.
3. Shao X.G., Leung A.K.M., Chau F.T. Wavelets: a new trend in chemistry. Accounts of Chemical Research 2003, 36:276-283.
4. Mittermayr C.R., Nikolov S.G., Hutter H., Grasserbauer M. Wavelet denoising of Gaussian peaks: a comparative study. Chemometrics and Intelligent Laboratory Systems 1996, 34:187-202.
5. Alsberg B.K., Woodward A.M., Winson M.K., Rowland J., Kell D.B. Wavelet denoising of infrared spectra. Analyst 1997, 122:645-652.
6. Shao X.G., Cai W.S. Resolution of multicomponent chromatograms by window factor analysis with wavelet transform preprocessing. Journal of Chemometrics 1998, 12:85-93.
7. Shao X.G., Cai W.S. A novel algorithm of the wavelet packets transform and its application to denoising of analytical signals. Analytical Letters 1999, 32:743-760.
8. Shao X.G., Yu F., Kou H.B., Cai W.S., Pan Z.X. A wavelet-based genetic algorithm for compression and denoising of chromatograms. Analytical Letters 1999, 32:1899-1915.
9. Chen D., Shao X.G., Hu B., Su Q.D. A background and noise elimination method for quantitative calibration of near infrared spectra. Analytica Chimica Acta 2004, 511:37-45.
10. Chau F.T., Shih T.M., Gao J.B., Chan C.K. Application of the fast wavelet transform method to compress ultraviolet-visible spectra. Applied Spectroscopy 1996, 50:339-348.
11. Chau F.T., Gao J.B., Shih T.M., Wang J. Compression of infrared spectral data using the fast wavelet transform method. Applied Spectroscopy 1997, 51:649-659.
12. Pan Z.X., Shao X.G., Bo Z.H., Liu W., Wang H., Zhang M.S. Correction of baseline drift in high-performance liquid chromatography by wavelet transform. Chinese Journal of Analytical Chemistry 1996, 24:149-153.
13. Shao X.G., Sun P.Y., Cai W.S., Zhang M.S. Resolution of overlapping chromatograms by wavelet transform. Chinese Journal of Analytical Chemistry 1997, 25:671-674.
14. Shao X.G., Cai W.S., Sun P.Y., Zhang M.S., Zhao G.W. Quantitative determination of the components in overlapping chromatographic peaks using wavelet transform. Analytical Chemistry 1997, 69:1722-1725.
15. Barache D., Antoine J.-P., Dereppe J.-M. The continuous wavelet transform, an analysis tool for NMR spectroscopy. Journal of Magnetic Resonance 1997, 128:1-11.
16. Walczak B., Bouveresse E., Masssart D.L. Standardization of near-infrared spectra in the wavelet domain. Chemometrics and Intelligent Laboratory Systems 1997, 36:41-51.
17. Jouan-Rimbaud D., Walczak B., Poppi R.J., de Noord O.E., Massart D.L. Application of wavelet transform to extract the relevant component from spectral data for multivariate calibration. Analytical Chemistry 1997, 69:4317-4323.
18. Zhang M., Cai W.S., Shao X.G. Wavelet unfolded partial least squares for near-infrared spectral quantitative analysis of blood and tobacco powder samples. Analyst 2011, 136:4217-4221.
19. Cai W.S., Wang L.Y., Pan Z.X., Zuo J., Xu C.Y., Shao X.G. Application of the wavelet transform method in quantitative analysis of Raman spectra. Journal of Raman Spectroscopy 2001, 32:207-209.
20. Shao X.G., Li W., Chen G., Su Q.D. On-line analysis of the photoacoustic spectral signal using wavelet transform. Fresenius' Journal of Analytical Chemistry 1999, 363:215-218.
21. Fang H., Chen H.Y. Wavelet analyses of electroanalytical chemistry responses and an adaptive wavelet filter. Analytica Chimica Acta 1997, 346:319-325.
22. Shao X.G., Shao L.M., Zhao G.W. Extraction of extended X-ray absorption fine structure information from the experimental data using the wavelet transform. Analytical Communications 1998, 35:135-137.
23. Shao X.G., Hou S.Q., Fang N.H., He Y.Z., Zhao G.W. Quantitative determination of plant hormones by high performance liquid chromatography with wavelet transform. Journal of Analytical Chemistry 1998, 26:107-110.
24. Shao X.G., Hou S.Q. An on-line wavelet transform for denoising of high performance liquid chromatograms. Analytical Letters 1999, 32:2507-2520.
25. Arneodo A., d'Aubenton-Carafa Y., Bacry E., Graves P.V., Muzy J.F., Thermes C. Wavelet based fractal analysis of DNA sequences. Physica D: Nonlinear Phenomena 1996, 96:291-320.
26. Sweldens W. The lifting scheme: a custom-design construction of biorthogonal wavelets. Applied and Computational Harmonic Analysis 1996, 3:186-200.
27. Daubechies I., Sweldens W., Benedetto J.J. Factoring wavelet transforms into lifting steps. Journal of Fourier Analysis and Applications 1998, 4:247-269.
28. Widrow B., McCool J., Ball M. The complex LMS algorithm. Proceedings of the IEEE 1975, 63:719-720.
29. Widrow B., McCool J.M., Larimore M.G., Johnson C.R. Stationary and nonstationary learning characteristics of the LMS adaptive filter. Proceedings of the IEEE 1976, 64:1151-1162.
30. Xi Y.X., Rocke D.M. Baseline correction for NMR spectroscopic metabolomics data analysis. BMC Bioinformatics 2008, 9:324-333.
31. Komsta L. Comparison of several methods of chromatographic baseline removal with a new approach based on quantile regression. Chromatographia 2011, 73:721-731.
32. Cobas J.C., Bernstein M.A., Martin-Pastor M., Tahoces P.G. A new general-purpose fully automatic baseline-correction procedure for 1D and 2D NMR data. Journal of Magnetic Resonance 2006, 183:145-151.
33. Zhang Z.M., Chen S., Liang Y.Z., Liu Z.X., Zhang Q.M., Ding L.X., Ye F., Zhou H. An intelligent background-correction algorithm for highly fluorescent samples in Raman spectroscopy. Journal of Raman Spectroscopy 2010, 41:659-669.
34. Brown C.D., Vega-Montoto L., Wentzell P.D. Derivative preprocessing and optimal corrections for baseline drift in multivariate calibration. Applied Spectroscopy 2000, 54:1055-1068.
35. Leger M.N., Ryder A.G. Comparison of derivative preprocessing and automated polynomial baseline correction method for classification and quantification of narcotics in solid mixtures. Applied Spectroscopy 2006, 60:182-193.
36. Ruckstuhl A.F., Jacobson M.P., Field R.W., Dodd J.A. Baseline subtraction using robust local regression estimation. Journal of Quantitative Spectroscopy and Radiative Transfer 2001, 68:179-193.
37. Wan B., Small G.W. Wavelet analysis used for spectral background removal in the determination of glucose from near-infrared single-beam spectra. Analytica Chimica Acta 2010, 681:63-70.
38. Li J.H., Smith L.P.C., Tang Z.L., Sowa M.G. Background removal from polarized Raman spectra of tooth enamel using the wavelet transform. Journal of Raman Spectroscopy 2011, 42:580-585.
39. Claypoole R.L., Baraniuk R.G., Nowak R.D. Adaptive Wavelet Transforms via Lifting, Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on 3 1998, 1513-1516.
40. Miao L.N., Cai W.S., Shao X.G. Rapid analysis of multicomponent pesticide mixture by GC-MS with the aid of chemometric resolution. Talanta 2011, 83:1247-1253.
41. Wang T., Shao K., Chu Q.Y., Ren Y.F., Mu Y.M., Qu L.J., He J., Jin C.W., Xia B. Automics: an integrated platform for NMR-based metabonomics spectral processing and data analysis. BMC Bioinformatics 2009, 10:83-97.
42. Zhang Z.M., Chen S., Liang Y.Z. Baseline correction using adaptive iteratively reweighted penalized least squares. Analyst 2010, 135:1138-1146.