CAJ | 학술논문

γ谱分析是一种重要的放射性核素定量分析方法.弱峰的检测和重叠峰的分解是γ谱分析中的难点.为了解决这两个问题,基于压缩感知理论,提出了一种新的γ谱分析方法.这一方法从谱仪对γ谱调制的物理机理出发,通过数学建模,将γ谱分析转化为一个以真实γ谱为解的求逆问题,并在压缩感知理论框架下,运用γ谱特征峰的稀疏性,进行逆问题的求解,直接获得γ谱的估计结果.数值模拟结果和蒙特卡洛模拟结果表明:该方法能在降低统计涨落的同时,有效减小谱仪调制带来的能谱展宽,从而提高γ谱分析精度.
γ보분석시일충중요적방사성핵소정량분석방법.약봉적검측화중첩봉적분해시γ보분석중적난점.위료해결저량개문제,기우압축감지이론,제출료일충신적γ보분석방법.저일방법종보의대γ보조제적물리궤리출발,통과수학건모,장γ보분석전화위일개이진실γ보위해적구역문제,병재압축감지이론광가하,운용γ보특정봉적희소성,진행역문제적구해,직접획득γ보적고계결과.수치모의결과화몽특잡락모의결과표명:해방법능재강저통계창락적동시,유효감소보의조제대래적능보전관,종이제고γ보분석정도.
The gamma-ray spectrum analysis is an important method for quantitative analysis of radionuclide. Although widely used, the weak peak identification and overlapping peaks resolution are still difficult for gamma-ray spectrum analysis. To solve the problem, a new method based on compressed sensing is proposed for improving gamma-ray spectrum analysis in this paper. The proposed method models physical modulation of gamma spectrometer as a linear equation, and formulates the gamma-ray spectrum analysis as a corresponding inverse problem. The true gamma spectrum is obtained by solving the inverse problem by applying sparsity constraint under the framework of compressed sensing. The feasibility of the proposed method is demonstrated by both numerical simulation and Monte Carlo simulation experiments. Results demonstrate that the proposed method can simultaneously resolve overlapped peaks and reduce the fluctuations of gamma-ray spectrum, effectively improving the accuracy of gamma-ray spectrum analysis.