Numerical correction of spectrometric data using a bilinear operator of measurand reconstruction

The raw results of spectrometric analysis are subject to systematic errors of an instrumental type that may be reduced provided a mathematical model of the instrumental imperfections or its pseudoinverse, i.e., an operator of reconstruction, is identified. The idea to identify a non-linear operator of reconstruction directly during calibration is developed and studied in this paper. The algorithm was studied using synthetic data. The results are compared with those obtained by means of the other algorithms, frequently used for spectrometric data correction