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26 September 2013 Impact of fano factor on position and energy estimation in scintillation detectors
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Abstract
The Fano factor for an integer-valued random variable is defined as the ratio of its variance to its mean. Light from various scintillation crystals has been reported to have Fano factors from sub-Poisson (Fano factor < 1), Poisson (Fano factor = 1) to super-Poisson (Fano factor > 1). For a given mean, a smaller Fano factor implies a smaller variance and thus less noise. We investigate if lower noise in the scintillation light results in better spatial and energy resolution in a scintillation imaging detector. The impact of Fano factor on estimation of position of interaction and energy deposited in simple gamma-camera geometries is estimated by calculating the Cramer-Rao bound. The calculated Cramer-Rao bound is quantitatively validated by estimating the variance of the maximum likelihood estimator.
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Vaibhav Bora, Harrison H. Barrett, Abhinav K. Jha, and Eric Clarkson "Impact of fano factor on position and energy estimation in scintillation detectors", Proc. SPIE 8854, Penetrating Radiation Systems and Applications XIV, 885405 (26 September 2013); https://doi.org/10.1117/12.2033642
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