Based on statistical characteristics of energy spectrum and spectrumshifting features in spectrometry, the

authors applied the dual model of Hidden Markov Models to the simulation of spectrumshifting. Transient

characteristics of energy spectrum were described and then transformed into a parametric model by Gaussian Mixture Mode.

The conditions of spectrumshifting in the measurement of energy spectrum were simulated by state transition of Hidden

Markov Models, and then the parameters of Gaussian mixture model were adjusted. Practical application shows that these

parameters can be adjusted flexibly by this method to meet the various requirements in simulation of energy spectrum

shifting, and hence this method is a parametric simulation method with good performance.