Optimal and sub-optimal post-detection timing estimators for PET

A. O. Hero, N. Antoniadis, N. Clinthorne, W. L. Rogers, Gary Hutchins

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this paper we derive linear and non-linear approximations to the post-detection likelihood function for scintillator interaction time in nuclear particle detection systems. The likelihood function is the optimal statistic for performing detection and estimation of scintillator events and event times. We derive the likelihood function approximations from a statistical model for the post-detection waveform which is common in the optical communications literature and takes account of finite detector bandwidth, random gains, and thermal noise. We then present preliminary simulation results for the associated approximate maximum likelihood timing estimators which indicate that significant MSE improvements may be achieved for low post-detection signal-to-noise ratio.

Original languageEnglish (US)
Pages (from-to)725-729
Number of pages5
JournalIEEE Transactions on Nuclear Science
Volume37
Issue number2
DOIs
StatePublished - 1990
Externally publishedYes

Fingerprint

estimators
time measurement
Phosphors
Thermal noise
scintillation counters
Optical communication
Maximum likelihood
Signal to noise ratio
nuclear particles
Statistics
Detectors
thermal noise
Bandwidth
approximation
optical communication
waveforms
signal to noise ratios
statistics
bandwidth
detectors

ASJC Scopus subject areas

  • Nuclear Energy and Engineering
  • Electrical and Electronic Engineering
  • Nuclear and High Energy Physics

Cite this

Optimal and sub-optimal post-detection timing estimators for PET. / Hero, A. O.; Antoniadis, N.; Clinthorne, N.; Rogers, W. L.; Hutchins, Gary.

In: IEEE Transactions on Nuclear Science, Vol. 37, No. 2, 1990, p. 725-729.

Research output: Contribution to journalArticle

Hero, A. O. ; Antoniadis, N. ; Clinthorne, N. ; Rogers, W. L. ; Hutchins, Gary. / Optimal and sub-optimal post-detection timing estimators for PET. In: IEEE Transactions on Nuclear Science. 1990 ; Vol. 37, No. 2. pp. 725-729.
@article{f873bcb3b6864957876ba9f95ebbb3e9,
title = "Optimal and sub-optimal post-detection timing estimators for PET",
abstract = "In this paper we derive linear and non-linear approximations to the post-detection likelihood function for scintillator interaction time in nuclear particle detection systems. The likelihood function is the optimal statistic for performing detection and estimation of scintillator events and event times. We derive the likelihood function approximations from a statistical model for the post-detection waveform which is common in the optical communications literature and takes account of finite detector bandwidth, random gains, and thermal noise. We then present preliminary simulation results for the associated approximate maximum likelihood timing estimators which indicate that significant MSE improvements may be achieved for low post-detection signal-to-noise ratio.",
author = "Hero, {A. O.} and N. Antoniadis and N. Clinthorne and Rogers, {W. L.} and Gary Hutchins",
year = "1990",
doi = "10.1109/23.106705",
language = "English (US)",
volume = "37",
pages = "725--729",
journal = "IEEE Transactions on Nuclear Science",
issn = "0018-9499",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

TY - JOUR

T1 - Optimal and sub-optimal post-detection timing estimators for PET

AU - Hero, A. O.

AU - Antoniadis, N.

AU - Clinthorne, N.

AU - Rogers, W. L.

AU - Hutchins, Gary

PY - 1990

Y1 - 1990

N2 - In this paper we derive linear and non-linear approximations to the post-detection likelihood function for scintillator interaction time in nuclear particle detection systems. The likelihood function is the optimal statistic for performing detection and estimation of scintillator events and event times. We derive the likelihood function approximations from a statistical model for the post-detection waveform which is common in the optical communications literature and takes account of finite detector bandwidth, random gains, and thermal noise. We then present preliminary simulation results for the associated approximate maximum likelihood timing estimators which indicate that significant MSE improvements may be achieved for low post-detection signal-to-noise ratio.

AB - In this paper we derive linear and non-linear approximations to the post-detection likelihood function for scintillator interaction time in nuclear particle detection systems. The likelihood function is the optimal statistic for performing detection and estimation of scintillator events and event times. We derive the likelihood function approximations from a statistical model for the post-detection waveform which is common in the optical communications literature and takes account of finite detector bandwidth, random gains, and thermal noise. We then present preliminary simulation results for the associated approximate maximum likelihood timing estimators which indicate that significant MSE improvements may be achieved for low post-detection signal-to-noise ratio.

UR - http://www.scopus.com/inward/record.url?scp=0025416920&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025416920&partnerID=8YFLogxK

U2 - 10.1109/23.106705

DO - 10.1109/23.106705

M3 - Article

AN - SCOPUS:0025416920

VL - 37

SP - 725

EP - 729

JO - IEEE Transactions on Nuclear Science

JF - IEEE Transactions on Nuclear Science

SN - 0018-9499

IS - 2

ER -