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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Optical Society of America
2012
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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. |
format | Online Article Text |
id | pubmed-3482913 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2012 |
publisher | Optical Society of America |
record_format | MEDLINE/PubMed |
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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