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Title: Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals

Abstract

This paper addresses parameter estimation for an optical transient signal when the received data has been right-censored. We develop an expectation-maximization (EM) algorithm to estimate the amplitude of a Poisson intensity with a known shape in the presence of additive background counts, where the measurements are subject to saturation effects. We then compare the results of our algorithm with those of an EM algorithm that is unaware of the censoring.

Authors:
 [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Georgia Inst. of Technology, Atlanta, GA (United States). School of Electrical and Computer Engineering
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1467001
Report Number(s):
SAND2017-13806J
Journal ID: ISSN 1084-7529; JOAOD6; 659680
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Additional Journal Information:
Journal Volume: 35; Journal Issue: 7; Journal ID: ISSN 1084-7529
Publisher:
Optical Society of America (OSA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 47 OTHER INSTRUMENTATION

Citation Formats

Kagie, Matthew J., and Lanterman, Aaron D. Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals. United States: N. p., 2018. Web. doi:10.1364/JOSAA.35.001228.
Kagie, Matthew J., & Lanterman, Aaron D. Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals. United States. doi:10.1364/JOSAA.35.001228.
Kagie, Matthew J., and Lanterman, Aaron D. Fri . "Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals". United States. doi:10.1364/JOSAA.35.001228. https://www.osti.gov/servlets/purl/1467001.
@article{osti_1467001,
title = {Expectation-maximization algorithm for amplitude estimation of saturated optical transient signals},
author = {Kagie, Matthew J. and Lanterman, Aaron D.},
abstractNote = {This paper addresses parameter estimation for an optical transient signal when the received data has been right-censored. We develop an expectation-maximization (EM) algorithm to estimate the amplitude of a Poisson intensity with a known shape in the presence of additive background counts, where the measurements are subject to saturation effects. We then compare the results of our algorithm with those of an EM algorithm that is unaware of the censoring.},
doi = {10.1364/JOSAA.35.001228},
journal = {Journal of the Optical Society of America. A, Optics, Image Science, and Vision},
number = 7,
volume = 35,
place = {United States},
year = {2018},
month = {6}
}

Journal Article:
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