Near Infrared Reflectance Analysis by Gauss-Jordan Linear Algebra.

Abstract

Near-infrared reflectance analysis (NIRA) is an analytical technique that uses the near-infrared diffuse reflectance of a sample at several discrete wavelengths to predict the concentration of one or more of the chemical species in that sample. However, because near-infrared bands from solid samples are both abundant and broad, the reflectance at a given wavelength usually contains contributions from several sample components, requiring extensive calculations on overlapped bands. In the present study, these calculations have been performed using an approach similar to that employed in multi-component spectrophotometry, but with Gauss-Jordan linear algebra serving as the computational vehicle. Using this approach, correlations for percent protein in wheat flour and percent benzene in hydrocarbons have been obtained and are evaluated. The advantages of a linear-algebra approach over the common one employing stepwise regression are explored. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 10, 1983
Accession Number
ADA124787

Entities

People

  • D. E. Honigs
  • Gary M. Hieftje
  • J. M. Freelin

Organizations

  • Indiana University

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  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Analytical Chemistry
  • Chemical Analysis
  • Chemistry
  • Computations
  • Hydrocarbons
  • Indicator Dyes
  • Information Science
  • Linear Algebra
  • Mathematics
  • Military Research
  • New York
  • Regression Analysis
  • Spectra
  • United States
  • Universities

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  • Analytical Chemistry
  • Mathematical Modeling and Probability Theory.
  • Spectroscopy.