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research article

Theoretical minimum uncertainty of single-molecule localizations using a single-photon avalanche diode array

Houwink, Quint
•
Kalisvaart, Dylan
•
Hung, Shih-Te
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November 22, 2021
Optics Express

Single-photon avalanche diode (SPAD) arrays can be used for single-molecule localization microscopy (SMLM) because of their high frame rate and lack of readout noise. SPAD arrays have a binary frame output, which means photon arrivals should be described as a binomial process rather than a Poissonian process. Consequentially, the theoretical minimum uncertainty of the localizations is not accurately predicted by the Poissonian Cramer-Rao lower bound (CRLB). Here, we derive a binomial CRLB and benchmark it using simulated and experimental data. We show that if the expected photon count is larger than one for all pixels within one standard deviation of a Gaussian point spread function, the binomial CRLB gives a 46% higher theoretical uncertainty than the Poissonian CRLB. For typical SMLM photon fluxes, where no saturation occurs, the binomial CRLB predicts the same uncertainty as the Poissonian CRLB. Therefore, the binomial CRLB can be used to predict and benchmark localization uncertainty for SMLM with SPAD arrays for all practical emitter intensities. (C) 2021 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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Type
research article
DOI
10.1364/OE.439340
Web of Science ID

WOS:000722251200080

Author(s)
Houwink, Quint
Kalisvaart, Dylan
Hung, Shih-Te
Cnossen, Jelmer
Fan, Daniel
Mos, Paul  
Ulku, Arin Can  
Bruschini, Claudio  
Charbon, Edoardo  
Smith, Carlas S.
Date Issued

2021-11-22

Publisher

OPTICAL SOC AMER

Published in
Optics Express
Volume

29

Issue

24

Start page

39920

End page

39929

Subjects

Optics

•

microscopy

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
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Available on Infoscience
December 4, 2021
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/183532
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