Method of calculating initial parameters of particle spectral fitting function based on method of moments estimation

Abstract

The invention discloses a method of calculating initial parameter values of an energy spectral response function based on the method of moments estimation. The method solves the problems of blindness in selecting the initial values for a fitting function and incorrect fittings or even potential fitting function divergence and the like in traditional methods. The problem of the selection difficulty of multiple parameter values of the response function of a detector is addressed in the method, based on the method of moments, an equation group is built for the various parameters in the response function, and the solved results for the equations are the initial values of various parameters. The method solves the problems of randomness and chance in traditional methods and improves on the fitting precision and accuracy of the response function; compared with the traditional methods, the method is more accurate and effective for determining the response function of the detector, broadening the spectrum and calculating the peak area, and avoids the fitting failure of the response function caused by the mistake selection of the initial values, in the meantime, the speed and accuracy of analyzing Gamma or Alpha energy spectrum are improved, and the method has great significance for the automatic peak shape function fitting and the resolution of energy spectrum.

Description

Technical field: [0001] The invention relates to a calculation method and process of an initial value of an energy spectrum response function parameter based on a moment estimation method in the process of nuclear radiation energy spectrum measurement and analysis. Background technique: [0002] For many years, many researchers at home and abroad have been engaged in the research on the spectral solution method of the complex radiation energy spectrum response function, that is, using the least square method and the weighted least square method to perform function fitting on the actually measured energy spectrum, and obtain the energy spectrum that is consistent with the experimental energy spectrum. A similar peak shape curve is convenient for subsequent data processing, but because there are many influencing factors in the particle energy spectrum measurement process, and the energy spectrum shape is relatively complex, the parameter values ​​in the response function must b...

AI Technical Summary

Problems solved by technology

[0002] For many years, many researchers at home and abroad have been engaged in the research on the spectral solution method of the complex radiation energy spectrum response function, that is, using the least square method and the weighted least square method to perform function fitting on the actually measured energy spectrum, and obtain the energy spectrum that is consistent with the experimental energy spectrum. A similar peak shape curve is convenient for subsequent data processing, but because there are many influencing factors in the particle energy spectrum measurement process, and the energy spectrum shape is relatively complex, the parameter values ​​in the response function must be determined according to the peak position, peak shape and other characteristics. Corresponding changes, but the randomness and uncertainty of the initial value of the response function lead to insufficient stability of the fitting result, and the fitting effect of the function has a lot to do with the determination of the initial value of the parameter

At present, random numbers or empirical values ​​are usually used for the initial value of the response function parameters, which makes the fitting result not very accurate or even fails to fit. The present invention proposes a calculation method for the initial parameter value of the energy spectrum response function based on the moment estimation method

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