Zasyad'ko A. The solving algorithms of signal restoring problem in Spectroscopy using orthogonal discrete transforms.

The important scientific problem of increasing accuracy of spectroscopic measurements is regarded in the dissertation. This problem can be solved on the base of Fredgholm integral equations of the first kind. Approaches based on the model sampling method with the use of discrete orthogonal transforms are investigated. Proposed algorithms can take into account various width of a spectral device. They can be applied if information obtained by spectroscopic analysis of the substance is non-exact. The algorithm based on matrix diagonalization with the use of discrete orthogonal transforms allows to improve quality of recognizing spectral peaks. Algorithms regarded in the dissertation were implemented in the program package which was developed for laser mass-spectrometric analysis. Practical use of this package confirms effectiveness of the algorithms.