Yl. Xie et al., BACKGROUND BILINEARIZATION BY THE USE OF GENERALIZED STANDARD ADDITION METHOD ON 2-DIMENSIONAL DATA, Analytica chimica acta, 281(1), 1993, pp. 207-218
The capability of the standard addition method to correct the matrix e
ffects and the advantage of two-dimensional bilinear analytical data w
ere utilized in a hybrid method combining the generalized standard add
ition method (GSAM) and constrained background bilinearization. The pr
oposed method can effectively compensate for both matrix effects and t
he influence of unexpected interferents in multivariate calibration. F
irst, GSAM was extended to two-dimensional bilinear data. In the proce
ss of standard additions, the background is fixed and the standard res
ponses of the sought-for components in actual samples could be thus ac
quired even with the existence of unexpected interferents in the sampl
e. The quantification of the sought-for analytes was then completed by
use of background bilinearization. In the optimization process of bac
kground bilinearization, a global optimization technique, generalized
simulated annealing (GSA), was adopted to guarantee the global minimum
. The characteristic performance of the proposed method was tested by
a series of simulations and experimental fluorescence excitation-emiss
ion data with organic dye mixtures.