Using rational filters for digital correction of a spectrometric microtransducer

Raw spectrometric data are subject to systematic errors of an instrumental type that may be reduced, provided a mathematical model of the spectrometer, or its pseudoinverse, i.e., an operator of reconstruction, is identified. The idea of identifying this operator, directly during calibration of the spectrometer, is developed in this paper. The applicability of an operator of reconstruction, having the form of a rational filter, is studied when it is used for correction of the instrumental errors introduced by a low-resolution spectrometric microtransducer (SMT) that is intended for designing a microspectrometer. Several algorithms of correction are developed and systematically studied using real-world spectra and a nonlinear mathematical model of the microtransducer, proposed by the authors in a previous publication.