Quadratic FIR filter for numerical correction of spectrometric data

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 imperfection or its pseudoinverse, i.e. an operator of reconstruction, is identified. The idea of identifying the operator of reconstruction, having the form of a quadratic FIR filter, directly during calibration is developed. A corresponding algorithm is proposed and studied using spectrometric-type synthetic data. The results are compared with those obtained by means of other algorithms, often used for spectrometric data correction