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Optica Publishing Group
  • Applied Spectroscopy
  • Vol. 37,
  • Issue 6,
  • pp. 567-569
  • (1983)

On the Relationship of Least Squares to Cross-correlation Quantitative Spectral Analysis

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Abstract

A recent paper by Mann <i>et al.</i> proposes using a property of cross-correlation for quantitative spectral analysis. This paper discusses similarities and provides a comparison among several methods of extracting quantitative information from spectral data. Cross-correlation quantitative analysis is shown to be an extension of least squares spectral quantitation for single components which reduces, in a limiting case, to least squares quantitation. By adopting a vector formalism, the cross-correlation approach is easily implemented without the need for the Fourier transform computations discussed in Ref. 1. An example application of the simplified cross-correlation computation is described and compared to an orthogonal weight vector approach outlined in a comprehensive paper by Morgan.

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