Least squares arrival time estimators for photons detected using aphotomultiplier tube
Petrick, N.; Hero, A.O., III; Clinthorne, N.H.; Rogers, W.L.
Nuclear Science, IEEE Transactions on
Volume 39, Issue 4, Aug 1992 Page(s):738 - 741
Digital Object Identifier   10.1109/23.159697
Summary:The optimal arrival time estimators for single and multiple photons arriving at the surface of a photomultiplier tube (PMT) are developed. The optimal timing estimator considered is a weighted nonlinear least squares estimate of the detection time for a high-gain PMT with Gaussian statistics. The least squares estimator is constructed using the mean and covariance function of the photomultiplier output for different arrival times. The root-mean-square error for the least squares arrival time estimator was calculated and is compared with the performance of other common timing estimators, including the first photoelectron timing estimators, using a Burle/RCA 8850 PMT

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