Using rational filters for digital correction of a spectrometric microtransducer

The raw spectrometric data are subject to systematic errors of an instrumen tal type that may be reduced, provided a mathematical model of the spectrom eter, or its pseudoinverse, i.e., an operator of reconstruction, is identif ied, The idea of identifying this operator, directly during calibration of the spectrometer, is developed in this paper. The applicability of an opera tor of reconstruction, having the form of a rational filter, is studied whe n it is used for correction of the instrumental errors introduced by a low- resolution spectrometric microtransducer (SMT) that is intended for designi ng a microspectrometer, Several algorithms of correction are developed and systematically studied using real-world spectra and a nonlinear mathematica l model of the microtransducer, proposed by the authors in a previous publi cation.