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- function [kcal, k] = kmatrix(a, c)
- % KMATRIX Calculate K-matrix calibration coefficients.
- % KMATRIX calculates K-matrix calibration coefficients
- % for a given set of calibration mixtures.
- %
- % kcal = kmatrix(a, c) or [kcal, k] = kmatrix(a, c)
- %
- % Where:
- %
- % kcal is the calibration matrix
- % k is the matrix containing estimated pure component spectra
- % a is the absorbance matrix
- % c is the concentration matrix
- %
- % The concentrations of components in unknown spectra can be calculated
- % if the unknown absorbances are set up as a vector (for 1
- % unknown) or a matrix (for multiple unknowns). The unknown matrix
- % can have any available name. For example call it "u". The
- % unknown concentrations are then given by kcal * u.
- %
- % For more details, refer to pages 139 through 141 of the ASTM
- % publication "Computerized Quantitative Infrared Analysis".
- %
-
- % Copyright (c) 1989-92 by The MathWorks, Inc.
-
- k = a * c' * inv(c * c');
- kcal = inv(k' * k) * k';
-