Orthogonal signal correction, wavelet analysis, and multivariate calibration of complicated process fluorescence data. Eriksson, L., Trygg, J., Johansson, E., Bro, R., & Wold, S. Analytica Chimica Acta, 420(2):181–195, September, 2000.
Orthogonal signal correction, wavelet analysis, and multivariate calibration of complicated process fluorescence data [link]Paper  doi  abstract   bibtex   
In this paper, multivariate calibration of complicated process fluorescence data is presented. Two data sets related to the production of white sugar are investigated. The first data set comprises 106 observations and 571 spectral variables, and the second data set 268 observations and 3997 spectral variables. In both applications, a single response, ash content, is modelled and predicted as a function of the spectral variables. Both data sets contain certain features making multivariate calibration efforts non-trivial. The objective is to show how principal component analysis (PCA) and partial least squares (PLS) regression can be used to overview the data sets and to establish predictively sound regression models. It is shown how a recently developed technique for signal filtering, orthogonal signal correction (OSC), can be applied in multivariate calibration to enhance predictive power. In addition, signal compression is tested on the larger data set using wavelet analysis. It is demonstrated that a compression down to 4% of the original matrix size — in the variable direction — is possible without loss of predictive power. It is concluded that the combination of OSC for pre-processing and wavelet analysis for compression of spectral data is promising for future use.
@article{eriksson_orthogonal_2000,
	title = {Orthogonal signal correction, wavelet analysis, and multivariate calibration of complicated process fluorescence data},
	volume = {420},
	issn = {0003-2670},
	url = {https://www.sciencedirect.com/science/article/pii/S0003267000008904},
	doi = {10.1016/S0003-2670(00)00890-4},
	abstract = {In this paper, multivariate calibration of complicated process fluorescence data is presented. Two data sets related to the production of white sugar are investigated. The first data set comprises 106 observations and 571 spectral variables, and the second data set 268 observations and 3997 spectral variables. In both applications, a single response, ash content, is modelled and predicted as a function of the spectral variables. Both data sets contain certain features making multivariate calibration efforts non-trivial. The objective is to show how principal component analysis (PCA) and partial least squares (PLS) regression can be used to overview the data sets and to establish predictively sound regression models. It is shown how a recently developed technique for signal filtering, orthogonal signal correction (OSC), can be applied in multivariate calibration to enhance predictive power. In addition, signal compression is tested on the larger data set using wavelet analysis. It is demonstrated that a compression down to 4\% of the original matrix size — in the variable direction — is possible without loss of predictive power. It is concluded that the combination of OSC for pre-processing and wavelet analysis for compression of spectral data is promising for future use.},
	language = {en},
	number = {2},
	urldate = {2021-11-08},
	journal = {Analytica Chimica Acta},
	author = {Eriksson, Lennart and Trygg, Johan and Johansson, Erik and Bro, Rasmus and Wold, Svante},
	month = sep,
	year = {2000},
	keywords = {Multivariate calibration, Orthogonal signal correction, Partial least squares projections to latent structures, Principal component analysis, Process fluorescence data, Wavelet analysis},
	pages = {181--195},
}

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