title: A stochastic model for electron multiplication charge-coupled devices--from theory to practice.
abstract: Electron multiplication charge-coupled devices (EMCCD) are widely used for photon counting experiments and measurements of low intensity light sources, and are extensively employed in biological fluorescence imaging applications. These devices have a complex statistical behaviour that is often not fully considered in the analysis of EMCCD data. Robust and optimal analysis of EMCCD images requires an understanding of their noise properties, in particular to exploit fully the advantages of Bayesian and maximum-likelihood analysis techniques, whose value is increasingly recognised in biological imaging for obtaining robust quantitative measurements from challenging data. To improve our own EMCCD analysis and as an effort to aid that of the wider bioimaging community, we present, explain and discuss a detailed physical model for EMCCD noise properties, giving a likelihood function for image counts in each pixel for a given incident intensity, and we explain how to measure the parameters for this model from various calibration images.
authors: Central Laser Facility, Research Complex at Harwell, STFC Rutherford Appleton Laboratory, Harwell Oxford, Didcot, United Kingdom. Michael.Hirsch@stfc.ac.uk
authors: Michael
authors: M
authors: Hirsch
authors: Richard J
authors: RJ
authors: Wareham
authors: Marisa L
authors: ML
authors: Martin-Fernandez
authors: Michael P
authors: MP
authors: Hobson
authors: Daniel J
authors: DJ
authors: Rolfe
mesh_terms: D001499:Bayes Theorem; D002138:Calibration; D003952:Diagnostic Imaging / Q000295:instrumentation*; D004583:Electrons; D004867:Equipment Design; D005453:Fluorescence; D006801:Humans; D008856:Microscopy, Fluorescence / Q000295:instrumentation; D061848:Optical Imaging / Q000295:instrumentation*; D017785:Photons
references: Biomed Opt Express. 2011 Apr 29;2(5):1377-93
references: 21559149
references: Nat Methods. 2010 May;7(5):377-81
references: 20364147
references: Phys Med Biol. 2011 Aug 7;56(15):4785-801
references: 21753231
references: Nat Methods. 2007 Apr;4(4):319-21
references: 17369835
references: Rev Sci Instrum. 2011 Sep;82(9):093705
references: 21974592
references: Eur Biophys J. 2011 Oct;40(10):1167-86
references: 21928120
references: Nat Methods. 2008 Aug;5(8):687-94
references: 18604216
references: Biophys J. 2004 Feb;86(2):1185-200
references: 14747353
references: Opt Express. 2009 Dec 21;17(26):23352-73
references: 20052043
references: IEEE Trans Nucl Sci. 2009 Jun 1;56(3):725
references: 20107527