Abstract
Mathematical models of radiation spectra are considered. The tasks and algorithms for the main data processing stages are described: decomposition of multiplets into singlets, approximation and precision correction of the calibration coefficients, determination of element (nuclide) content, estimation of the linear and nonlinear parameters of the apparatus weighting function. Analysis of alpha-radiation spectra is used as an example to illustrate the various analytical issues in the presence of strong asymmetry of the apparatus weighting function. The solution of element analysis problems exploits the bilinear relationship of the linear parameters in the approximating model and the quasi=exponential dependence on the nonlinear parameters. The procedure successively applies groups of computer algorithms combined with simulation using empirical databases.
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