Statistical Treatment of Beam Position Monitor Data
Statistical Treatment of Beam Position Monitor Data
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DOI：
10.1016/j.nima.2018.02.046
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发表时间：
2016-09
期刊：
影响因子：
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通讯作者：
A. Reiter;Rahul Singh;O. Chorniy
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文献类型：
--
作者：
A. Reiter;Rahul Singh;O. Chorniy
本文从采样数据采集系统中模数转换器的角度对束流位置监测器进行了综述。通过对独立数据样本的统计处理，我们导出了束流位置监测器位置不确定度的基本公式。不确定度估计仅依赖于几个简单的模型参数，并已针对两种“实际”信号形状--正方形脉冲和三角形脉冲--进行了计算。对三种方法进行了分析：建立的信号积分法和平方根法，直接比例模型和直线模型的最小二乘拟合法。后一种方法到目前为止还没有文献报道。直线拟合提供了最稳健的估计器，因为它不需要基线恢复，它不受信号偏移的影响，并且它的标准差最小。因此，在分析的估计值中，它保证了结果的最高保真度。FIT方法代表了一种简单、自然的方法来分析束流位置监测数据，这种方法可以很容易地在硬件中实现，并为新的应用提供了潜力。
We review beam position monitors adopting the perspective of an analogue-to- digital converter in a sampling data acquisition system. From a statistical treatment of independent data samples we derive basic formulae of position uncertainty for beam position monitors. Uncertainty estimates only rely on a few simple model parameters and have been calculated for two "practical" signal shapes, a square pulse and a triangular pulse. The analysis has been carried out for three approaches: the established signal integration and root-sum-square ap- proaches, and a least-square fit for the models of direct proportion and straight-line. The latter approach has not been reported in the literature so far. The straight-line fit provides the most robust estimator since it does not require baseline restoration, it is immune to signal offsets, and its standard deviation is smallest. Consequently, of the analysed estimators it promises the highest fidelity of results. The fit approach represents a simple, natural way to analyse beam position monitor data which can be easily implemented in hardware and offers potential for new applications.