A Study on the Energy Resolution Correction Method for Measured Spectra of Nuclear Radiations

本文研究了一种修正和提高测量伽马能谱能量分辨率的计算方法。该方法基于多维对数正态分布的非线性最小二乘方法和贝叶斯定理。它可以引入不确定度，解决普通技术有时会出现的振动和负值问题。在测量系统中，光谱的分辨率变得更差。伽马能谱的这种响应函数可以近似为高斯函数。利用魏尔斯特拉斯逆变换估计作为先验信息的初始协方差数据。该方法已成功地应用于光谱模拟。通过模拟计算发现，校正极限与测量光谱的不确定度有很大关系，作为分辨率校正结果的适用的分峰限谱是由强度比大于2且距离比分辨率(1西格玛)更近的峰组成的。

A calculational method to correct and improve the energy resolution of measured gamma ray spectra has been investigated. This method is based on a nonlinear least-squares method using a multi-dimensional lognormal distribution with Bayesian theorem. It can introduce the uncertainties and solve the problems of the vibration and the negative values, which sometimes have been occurred with the ordinary techniques. Resolutions of spectra are made worse in measured systems. This response function in gamma ray spectrometry can be approximated the Gaussian. The initial covariance data as a prior information is estimated using the inverse Weierstrass transformation. This method has been successfully applied to simulate spectra. Through the simulate calculations, these are found that the corrective limitation is strongly related to the uncertainty of measured spectra, and that the applicably limited spectra to separate peaks as the results of resolution correction are composed of peaks of which the intense ration are above the factor of 2 and the distances are closer than the resolution (1 sigma).