Spectrometer Calibration by Expectation Maximization Method

Abstract

Expectation Maximization (EM) algorithm is a parameter estimation method from incomplete observations. In this paper, an implementation of this method to the calibration of HKS spectrometer at Jefferson Lab is described. We show that the application of EM method is able to calibrate the spectrometer properly in the presence of high background noise, while the traditional nonlinear Least Square method fail. The preliminary results of HKS spectrometer calibration is presented.