On the Relationship of Least Squares to Cross-Correlation Quantitative Spectral Analysis
On the Relationship of Least Squares to Cross-Correlation Quantitative Spectral Analysis
复制标题
最小二乘法与互相关定量谱分析的关系
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
R. Β. Lam
中科院分区：
文献类型：
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作者：
R. Β. Lam
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.
