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

核辐射实测谱能量分辨率校正方法研究

• 批准号: 61460244
• 负责人: NAKAZAWA Masaharu
• 金额: $ 1.66万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1986
• 资助国家: 日本
• 起止时间: 1986 至 1987
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-61460244/
• 关键词: Resolution correction; Gamma ray spectra; Bayesian theorem; Lognormal distribution; 対数正規分布; 逆ワイヤシュトラウス変換; アンフォールディング; γ線スペクトロメータ; 不確定性情報; データ処理; 統計的推定; NaIシンチレータ

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).

本文研究了一种修正和提高实测γ能谱能量分辨率的计算方法。该方法是基于一个非线性最小二乘法使用多维对数正态分布与贝叶斯定理。它可以引入不确定性，解决常规技术中经常出现的振动和负值问题。在测量系统中，光谱的分辨率变差。在γ射线能谱测量中，这种响应函数可以近似为高斯函数。作为先验信息的初始协方差数据使用逆Weierstrass变换来估计。该方法已成功应用于光谱模拟。通过模拟计算发现，校正限与测量谱的不确定度密切相关，分辨率校正后的适用限谱是由强度比大于2倍、距离小于分辨率（1 σ）的谱峰组成的。