基于特征函数的NaIγ能谱高斯峰面积计算

摘要

The method of Gaussian peak area computation includes count accumulation method and least squares fitting of Gaussian function. The latter is based on solving inverse matrix. This requests considerable computing time, and is sensitive to noise. In this article, we obtain the amplitude, center and variance of Gaussian function by using the second eigenfunction of Gaussian function, and area of Gaussian peak is calculated. Results of applying this new method to γ-ray spectra analysis show that it is not only of quick speed but also insensitive to noise.%γ能谱峰面积计算方法主要包括累加计数的峰面积法和高斯函数最小二乘拟合峰面积法.采用高斯函数最小二乘拟合法,须进行矩阵求逆运算,计算量较大,且该方法对噪声较敏感.本文通过高斯函数的第二特征函数得到高斯函数的幅值、中心及方差,计算高斯峰的面积.实例证明,此法不但速度快,而且对噪声不敏感.