Fast adaptive particle spectrum fitting algorithm based on moment-estimated initial parameters

An algorithm based on moment estimation is presented to determine the initial parameters of the particle spectrum peak shape function for the iteration fitting procedure. The algorithm calculates the mean value, variance, and third-order central moment by using the spectrum peak data, solves the parameters of the fitting function, and then provides them as the initial values to the Levenberg–Marquardt algorithm to ensure convergence and optimized fitting. The effectiveness of the proposed algorithm was tested by gamma and alpha spectra. The algorithm can be used in automated peak curve fitting and spectral analysis. - Highlights: • The proposed algorithm was based on moment estimation. • Initial parameters of the particle spectrum peak shape function were estimated. • The Levenberg–Marquardt algorithm was used to fit the spectrum peak. • The proposed algorithm was applied to analyze gamma and alpha spectra.