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Publication Detail
A digression on regression
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Journal Article
  • Authors:
    Davies AMC, Fearn T
  • Publication date:
    01/12/2010
  • Pagination:
    20, 22
  • Journal:
    Spectroscopy Europe
  • Volume:
    22
  • Issue:
    6
  • Status:
    Published
  • Print ISSN:
    0966-0941
Abstract
Classical Least Square (CLS) can be easily extended to cope with variable linear baselines. There is no requirement that peaks should not overlap, they overlap considerably in the example, to the extent that we only see two peaks in the mixture, merely that each pair of pure spectra must differ somewhere. In fact we do not need the entire spectrum for this calculation. The spectra can be reduced to three spectral points, so long as the three reduced spectra still satisfy the condition of having no linear dependence between them. If the system behaves as assumed, and there is no noise anywhere, the equation recovers the exact proportions in the mixture. How good an estimate it is will depend on the amount of noise, and also on how distinct are the three pure spectra.
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