Am. Onishchenko, OPTIMIZATION OF QUALITY-CONTROL WITH MULTIDIMENSIONAL INSTRUMENTS, Russian journal of nondestructive testing, 30(6), 1994, pp. 461-469
The article describes algorithms for obtaining simultaneously the most
informative ensemble of signals from a multidimensional spectral inst
rument, the calibration of the instrument, and an algorithm for its op
eration. It shows that by selecting a pair of closely correlated signa
ls the probability of an error in separating two close adjacent concen
trations of the inspected product can be reduced by more than six orde
rs of magnitude. The essence of the algorithm consists in constructing
ellipsoids of correlation of signals with equal probability density f
or groups of samples with values of the inspected parameter that are d
ifferent for different groups and constant within each group, and with
arbitrary varied values of the noninspected influence parameters. The
idea of reducing the probability of errors is based on taking into ac
count the dimensions and mutual relative positions of the ellipsoids.