Error Reduction in Spectrum Estimation by Means of Concentration-Spectrum Correlation

Authors: Mitsuka, Yoshihiro; Uozumi, Jun; Asakura, Toshimitsu

Source: Applied Spectroscopy, Volume 44, Issue 4, Pages 543-746 (May 1990) , pp. 695-700(6)

Publisher: Society for Applied Spectroscopy

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Abstract:

A new technique is introduced for reducing the estimation errors accompanying component spectra estimated by means of the concentration-spectrum correlation method. Many estimates of the component spectra, given to different errors, are obtained by the nonparametric statistical method called the bootstrap. Among them, there exists a spectrum that has a very small error. This spectrum can be found by searching for the spectrum that has the least entropy, since a parameter of the entropy is correlated positively with the estimation error. Computer-simulation experiments are performed to demonstrate the effectiveness of the present technique for cases involving both unconstrained concentrations and constrained concentrations whose sum for all the components in a sample is unity.

Keywords: Near-infrared refectance; Spectroscopic techniques

Document Type: Research article

DOI: http://dx.doi.org/10.1366/0003702904087253

Affiliations: 1: Research Institute of Applied Electricity, Hokkaido University, Sapporo, Hokkaido 060, Japan

Publication date: 1990-05-01

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