On the Relationship of Least Squares to Cross-Correlation Quantitative Spectral Analysis
R. Β. Lam · Applied Spectroscopy · 1983
A recent paper by Mann et al. 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.