A simplified approach to counting statistics with an imperfect pileup rejector

IF 1.5 3区物理与天体物理 Q3 INSTRUMENTS & INSTRUMENTATION

Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment Pub Date : 2024-11-08 DOI:10.1016/j.nima.2024.170067

S. Pommé, K. Pelczar

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引用次数: 0

Abstract

A simplified theoretical model is developed to predict counting statistics for a stationary Poisson process passing through a spectrometer with pulse-pileup rejection. The model is applicable to digital counters used for spectrometry as well as set-ups utilising analogue electronics for pulse shaping and pileup rejection. In comparison with an existing model for a perfect pileup rejector, the new model addresses the common imperfection of having a finite time resolution of the fast channel, allowing quasi-coincident signals to pass through the pile-up rejector. From the Laplace transform of a simplified interval-density distribution, approximate expressions are derived for the throughput factor and the variance of the number of counted events. The results are compared with computer simulations of a cascade of extending dead time and subsequent pileup rejection. In addition, a rigorous throughput factor is derived from probabilistic reasoning, as well as an effective throughput factor for singular and coincident events.

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使用不完善的堆积剔除器进行计数统计的简化方法

本文建立了一个简化的理论模型，用于预测通过具有脉冲堆积抑制功能的光谱仪的静态泊松过程的计数统计量。该模型适用于用于光谱分析的数字计数器，也适用于利用模拟电子设备进行脉冲整形和堆积剔除的装置。与现有的完美堆叠抑制器模型相比，新模型解决了快速通道时间分辨率有限这一常见缺陷，允许准重合信号通过堆叠抑制器。通过简化区间密度分布的拉普拉斯变换，得出了吞吐系数和计数事件数方差的近似表达式。结果与延长死区时间和后续堆积剔除的级联计算机模拟进行了比较。此外，还通过概率推理得出了严格的吞吐量系数，以及奇异事件和重合事件的有效吞吐量系数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Instruments & Methods in Physics Research Section A-accelerators Spectrometers Detectors and Associated Equipment 物理-光谱学

CiteScore

3.20

自引率

21.40%

发文量

787

审稿时长

1 months

期刊介绍： Section A of Nuclear Instruments and Methods in Physics Research publishes papers on design, manufacturing and performance of scientific instruments with an emphasis on large scale facilities. This includes the development of particle accelerators, ion sources, beam transport systems and target arrangements as well as the use of secondary phenomena such as synchrotron radiation and free electron lasers. It also includes all types of instrumentation for the detection and spectrometry of radiations from high energy processes and nuclear decays, as well as instrumentation for experiments at nuclear reactors. Specialized electronics for nuclear and other types of spectrometry as well as computerization of measurements and control systems in this area also find their place in the A section. Theoretical as well as experimental papers are accepted.