### 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 Cramér-Rao bound. The calculated Cramér-Rao bound is quantitatively validated by estimating the variance of the maximum likelihood estimator.

Original language | English (US) |
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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 8854 |

DOIs | |

State | Published - 2013 |

Event | Penetrating Radiation Systems and Applications XIV - San Diego, CA, United States Duration: Aug 28 2013 → Aug 28 2013 |

### Other

Other | Penetrating Radiation Systems and Applications XIV |
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Country | United States |

City | San Diego, CA |

Period | 8/28/13 → 8/28/13 |

### Fingerprint

### Keywords

- Energy Estimation
- Fano factor
- Position Estimation
- Scintillators

### ASJC Scopus subject areas

- Applied Mathematics
- Computer Science Applications
- Electrical and Electronic Engineering
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Proceedings of SPIE - The International Society for Optical Engineering*(Vol. 8854). [885405] https://doi.org/10.1117/12.2033642

**Impact of fano factor on position and energy estimation in scintillation detectors.** / Bora, Vaibhav; Barrett, Harrison H; Jha, Abhinav K.; Clarkson, Eric W.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of SPIE - The International Society for Optical Engineering.*vol. 8854, 885405, Penetrating Radiation Systems and Applications XIV, San Diego, CA, United States, 8/28/13. https://doi.org/10.1117/12.2033642

}

TY - GEN

T1 - Impact of fano factor on position and energy estimation in scintillation detectors

AU - Bora, Vaibhav

AU - Barrett, Harrison H

AU - Jha, Abhinav K.

AU - Clarkson, Eric W

PY - 2013

Y1 - 2013

N2 - 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 Cramér-Rao bound. The calculated Cramér-Rao bound is quantitatively validated by estimating the variance of the maximum likelihood estimator.

AB - 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 Cramér-Rao bound. The calculated Cramér-Rao bound is quantitatively validated by estimating the variance of the maximum likelihood estimator.

KW - Energy Estimation

KW - Fano factor

KW - Position Estimation

KW - Scintillators

UR - http://www.scopus.com/inward/record.url?scp=84886997755&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84886997755&partnerID=8YFLogxK

U2 - 10.1117/12.2033642

DO - 10.1117/12.2033642

M3 - Conference contribution

AN - SCOPUS:84886997755

SN - 9780819497048

VL - 8854

BT - Proceedings of SPIE - The International Society for Optical Engineering

ER -