Vestnik of Samara State Technical University. Technical Sciences SeriesVestnik of Samara State Technical University. Technical Sciences Series1991-85422712-8938Samara State Technical University61159Original ArticleCalculating of asymmetry and excess coefficients for chromatographic peaks by using chebyshev – hermite functions and gram – charlier seriesSayfullinRauhat T.<p>Dr. Sci. Techn., Professor</p>info@eco-vector.comBochkarevAndrey V.<p>Postgraduate Student</p>info@eco-vector.comSamara State Technical University15122020284891051702202117022021Copyright © 2020, Samara State Technical University2020<p>The paper deals with the development of an algorithm for computation of excess and asymmetry coefficients for chromatographic peak, given by Gram-Charlier series. Investigation of possibility using direct transformation of coefficients of signal decoding in Chebyshev-Hermite basis to terms of the Gram-Charlier series weights are described. By applying coding in Chebyshev-Hermite basis algorithm to Gram-Charlier series system of linear equations that depend of excess and asymmetry coessicients are formed. Solution of this system of equations is sought coefficients. Errors of formed algorithm are described in dependence to errors of estimation shift and RMS width. The computer algebra system Wolfram Mathematica 11.3 was used for calculations and graphical presentation of the simulation results.</p>Chebyshev – Hermite functionsGram – Charlier seriesasymmetryexcesschromato-graphic peaksignal transformresolving overlapping signalschromatographyфункции Чебышева – Эрмитаряд Грама – Шарльеасимметрияэксцессхромато-графический пикпреобразование сигналовразделение совмещенных сигналовхроматография[Saifullin R.T., Bochkarev A.V. Selection of the required number of basis functions in the coding-decoding algorithms of signals of analytical instruments // Information and measuring and control sys-tems: mezhvuz. 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