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Method of multivariate spectral analysis

  • US 6,675,106 B1
  • Filed: 06/01/2001
  • Issued: 01/06/2004
  • Est. Priority Date: 06/01/2001
  • Status: Expired due to Term
First Claim
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1. A method of determining the properties of a sample from measured spectral data collected from the sample;

  • comprising;

    a) providing a two-dimensional matrix A containing measured spectral data;

    b) generating a weighted spectral data matrix D by weighting matrix A;

    c) factoring D into the product of two matrices, C and ST, by performing a constrained alternating least-squares analysis of D=CST, where C is a concentration intensity matrix and S is a spectral shapes matrix;

    d) unweighting C and S by applying the inverse of the weighting used in step b); and

    e) determining the properties of the sample by inspecting C and S.

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