Smoothing methods applied to dealing with heteroscedastic noise in GC/MS

Abstract In order to improve detection ability and quality of resolution of overlapping peaks with low signal-to-noise (SNR) ratio data obtained from GC/MS, the effect of heteroscedastic noise is investigated in the present paper. A new index named smoothing distortion (SD) is first developed for evaluating the smoothing efficiency. Roughness penalty smoothing method recently appearing in chemometrics is then compared with wavelet denoising technique and convolution smoothing approach under condition of heteroscedastic noise. The performance of the methods is assessed using both simulated and experimental GC/MS data. The results obtained show that the roughness penalty method cannot only enhance the detection ability but also improve quality of resolved chromatographic profiles and spectra significantly for the noisy GC/MS data.

[1]  Desire L. Massart,et al.  Noise suppression and signal compression using the wavelet packet transform , 1997 .

[2]  H. R. Keller,et al.  Heuristic evolving latent projections: resolving two-way multicomponent data. 2. Detection and resolution of minor constituents , 1992 .

[3]  Yizeng Liang,et al.  Preprocessing of analytical profiles in the presence of homoscedastic or heteroscedastic noise , 1994 .

[4]  J. Simonoff Smoothing Methods in Statistics , 1998 .

[5]  Laila Stordrange,et al.  The morphological score and its application to chemical rank determination , 2000 .

[6]  B. Silverman,et al.  Nonparametric Regression and Generalized Linear Models: A roughness penalty approach , 1993 .

[7]  Gary Horlick,et al.  Digital data handling of spectra utilizing Fourier transformations , 1972 .

[8]  Douglas B. Kell,et al.  Wavelet Denoising of Infrared Spectra , 1997 .

[9]  H. R. Keller,et al.  Evolving factor analysis in the presence of heteroscedastic noise , 1992 .

[10]  Xueguang Shao,et al.  A Novel Algorithm of the Wavelet Packets Transform and its Application to DE-Noising of Analytical Signals , 1999 .

[11]  Jian-hui Jiang,et al.  Local chemical rank estimation of two-way data in the presence of heteroscedastic noise: A morphological approach , 1996 .

[12]  Yi-Zeng Liang,et al.  A roughness penalty approach and its application to noisy hyphenated chromatographic two‐way data , 1999 .

[13]  P. A. Gorry General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method , 1990 .

[14]  Feng Bao,et al.  Scale-translation filtering for wideband correlated noise attenuation , 1995, Defense, Security, and Sensing.

[15]  R. Bonner,et al.  Application of wavelet transforms to experimental spectra : Smoothing, denoising, and data set compression , 1997 .

[16]  Problems of smoothing differentiation of data by least-squares procedures and possible solutions , 1987 .

[17]  B. Silverman,et al.  Smoothed functional principal components analysis by choice of norm , 1996 .

[18]  Christian Ritter,et al.  Corrections for heteroscedasticity in window evolving factor analysis , 1996 .

[19]  S. Wold Spline Functions in Data Analysis , 1974 .

[20]  J. Steinier,et al.  Smoothing and differentiation of data by simplified least square procedure. , 1972, Analytical chemistry.

[21]  A. Savitzky,et al.  Smoothing and Differentiation of Data by Simplified Least Squares Procedures. , 1964 .

[22]  K. B. Oldham Semiintegral electroanalysis. Analog implementation , 1973 .

[23]  Sg Nikolov,et al.  DE-NOISING OF SIMS IMAGES VIA WAVELET SHRINKAGE , 1996 .

[24]  C. Reinsch Smoothing by spline functions , 1967 .

[25]  Bruce R. Kowalski,et al.  Windowed mass selection method: a new data processing algorithm for liquid chromatography–mass spectrometry data , 1999 .

[26]  M. Grasserbauer,et al.  Wavelet denoising of Gaussian peaks: A comparative study , 1996 .

[27]  Desire L. Massart,et al.  Wavelet packet transform applied to a set of signals: A new approach to the best-basis selection , 1997 .

[28]  Yizeng Liang,et al.  Heuristic evolving latent projections: resolving two-way multicomponent data. 1. Selectivity, latent-projective graph, datascope, local rank, and unique resolution , 1992 .