Title :
Least squares arrival time estimators for photons detected using a photomultiplier tube
Author :
Petrick, Nicholas ; Hero, Alfred O., III ; Clinthorne, Neal H. ; Rogers, W. Leslie
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA
fDate :
8/1/1992 12:00:00 AM
Abstract :
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
Keywords :
least squares approximations; photomultipliers; Burle/RCA 8850 PMT; detection time; high-gain PMT; least squares arrival time estimator; multiple photons; nonlinear least squares estimate; optimal arrival time estimators; photoelectron timing estimators; photomultiplier tube; root-mean-square error; single photons; Biomedical optical imaging; Detectors; Least squares approximation; Maximum likelihood detection; Maximum likelihood estimation; Nonlinear optics; Photodetectors; Photomultipliers; Statistics; Timing;
Journal_Title :
Nuclear Science, IEEE Transactions on
