Patent ID: 7472153
Filing Date: 2008-12-30
Classification: G01N,G06K

Abstract:
1. A method for analyzing a sample from measured spectral data by factoring a spectroscopic data matrix D, describing the measured spectral data, into the product of a factor matrix S, describing estimated spectra of pure components of the sample, and a factor matrix C, describing estimated concentrations of pure components of the sample, according to D=CS T , the method comprising: a) collecting measured spectral data from the sample with a spectrometer, whereby the measured spectral data is described by the spectroscopic data matrix D, b) making an initial guess for the factor matrix S, c) normalizing the factor matrix S, d) selecting a bias parameter γ e) solving subject to constraints on the factor matrix C, f) selecting a bias parameter γ g) solving subject to constraints on the factor matrix S, h) repeating steps c) thorough g) at least once, and i) computing S=(I+γ