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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| Format: | Online |
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Optical Society of America
2012
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3482913/ |
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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. 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. |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Muir, Ryan D. Kissick, David J. Simpson, Garth J. |
| spellingShingle |
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 |
| author_facet |
Muir, Ryan D. Kissick, David J. Simpson, Garth J. |
| author_sort |
Muir, Ryan D. |
| title |
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_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_sort |
statistical connection of binomial photon counting and photon averaging in high dynamic range beam-scanning microscopy |
| 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. |
| publisher |
Optical Society of America |
| publishDate |
2012 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3482913/ |
| _version_ |
1611919467321753600 |