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Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy

Data from photomultiplier tubes are typically analyzed using either counting or averaging techniques, which are most accurate in the dim and bright signal limits, respectively. A statistical means of adjoining these two techniques is presented by recovering the Poisson parameter from averaged data a...

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Detalles Bibliográficos
Autores principales: Muir, Ryan D., Kissick, David J., Simpson, Garth J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Optical Society of America 2012
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3482913/
https://www.ncbi.nlm.nih.gov/pubmed/22535131
http://dx.doi.org/10.1364/OE.20.010406
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author Muir, Ryan D.
Kissick, David J.
Simpson, Garth J.
author_facet Muir, Ryan D.
Kissick, David J.
Simpson, Garth J.
author_sort Muir, Ryan D.
collection PubMed
description Data from photomultiplier tubes are typically analyzed using either counting or averaging techniques, which are most accurate in the dim and bright signal limits, respectively. A statistical means of adjoining these two techniques is presented by recovering the Poisson parameter from averaged data and relating it to the statistics of binomial counting from Kissick et al. [Anal. Chem. 82, 10129 (2010)]. The point at which binomial photon counting and averaging have equal signal to noise ratios is derived. Adjoining these two techniques generates signal to noise ratios at 87% to approaching 100% of theoretical maximum across the full dynamic range of the photomultiplier tube used. The technique is demonstrated in a second harmonic generation microscope.
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spelling pubmed-34829132013-04-20 Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy Muir, Ryan D. Kissick, David J. Simpson, Garth J. Opt Express Research-Article Data from photomultiplier tubes are typically analyzed using either counting or averaging techniques, which are most accurate in the dim and bright signal limits, respectively. A statistical means of adjoining these two techniques is presented by recovering the Poisson parameter from averaged data and relating it to the statistics of binomial counting from Kissick et al. [Anal. Chem. 82, 10129 (2010)]. The point at which binomial photon counting and averaging have equal signal to noise ratios is derived. Adjoining these two techniques generates signal to noise ratios at 87% to approaching 100% of theoretical maximum across the full dynamic range of the photomultiplier tube used. The technique is demonstrated in a second harmonic generation microscope. Optical Society of America 2012-04-20 /pmc/articles/PMC3482913/ /pubmed/22535131 http://dx.doi.org/10.1364/OE.20.010406 Text en ©2012 Optical Society of America http://creativecommons.org/licenses/by-nc-nd/3.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 Unported License, which permits download and redistribution, provided that the original work is properly cited. This license restricts the article from being modified or used commercially.
spellingShingle Research-Article
Muir, Ryan D.
Kissick, David J.
Simpson, Garth J.
Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title_full Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title_fullStr Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title_full_unstemmed Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title_short Statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
title_sort statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy
topic Research-Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3482913/
https://www.ncbi.nlm.nih.gov/pubmed/22535131
http://dx.doi.org/10.1364/OE.20.010406
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