Conference proceeding
Unique Maximum Likelihood Localization of Nuclear Sources
2019 IEEE 58th Conference on Decision and Control (CDC), Vol.2019-, pp.4127-4132
12/2019
DOI: 10.1109/CDC40024.2019.9028941
Abstract
In an earlier paper, [1], we have considered the Maximum Likelihood (ML) localization of a stationary nuclear source using the time of arrival of particles modeled as a Poisson process at a sensing vehicle moving with a constant velocity. In this paper we consider whether the ML location estimate characterized in [1] is unique. Using Morse theory we show that not only is the likelihood function unimodal on either side of the line the sensor moves on (note the source can only be localized uniquely if one knows on which side it resides), but that in fact it has only one critical point in each side and this critical point is the global maximum. These results strongly indicate that gradient ascent maximization will always work. We verify these results with real field data.
Details
- Title: Subtitle
- Unique Maximum Likelihood Localization of Nuclear Sources
- Creators
- B. D. O Anderson - Australian National UniversityS Dasgupta - University of IowaH. E Baidoo-Williams - Vocal Technologies,New York,14228M. F Anjum - University of IowaR Mudumbai - University of Iowa
- Resource Type
- Conference proceeding
- Publication Details
- 2019 IEEE 58th Conference on Decision and Control (CDC), Vol.2019-, pp.4127-4132
- Publisher
- IEEE
- DOI
- 10.1109/CDC40024.2019.9028941
- ISSN
- 0743-1546
- eISSN
- 2576-2370
- Language
- English
- Date published
- 12/2019
- Academic Unit
- Electrical and Computer Engineering
- Record Identifier
- 9984197354102771
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