A fast least-squares arrival time estimator for scintillationpulses
Petrick, N.; Hero, A.O., III; Clinthorne, N.H.; Leslie Rogers, W.
Nuclear Science, IEEE Transactions on
Volume 41, Issue 4, Aug 1994 Page(s):758 - 761
Digital Object Identifier 10.1109/23.322802
Summary:The true weighted least-squares (WLS) arrival time estimator for
scintillation pulse detection was previously found to out-perform
conventional arrival time estimators such as leading-edge and
constant-fraction timers, but has limited applications because of its
complexity. A new diagonalized version of the weighted least-squares
(DWLS) estimator has been developed which, like the true WLS,
incorporates the statistical properties of the scintillation detector.
The new DWLS reduces estimator complexity at the expense of fundamental
timing resolution. The advantage of the DWLS implementation is that only
scalar multiplications and additions are needed instead of the matrix
operations used in the true WLS. It also preserves the true WLS's
ability to effectively separate piled-up pulses. The DWLS estimator has
been applied to pulses which approximate the response of BGO and NaI(Tl)
scintillation detectors. The timing resolution obtained with the DWLS
estimator is then compared to conventional analog timers along with the
Cramer-Rao lower bound on achievable timing error. The DWLS out-performs
the conventional arrival time estimators but does not provide optimal
performance compared to the lower bound; however, it is more robust than
the true WLS estimator
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