Abstract
A decentralized detection method is proposed for revealing a radioactive nuclear source with unknown intensity and at unknown location, using a number of cheap radiation counters, to ensure public safety in smart cities. In the source present case, sensors nodes record an (unknown) emitted Poisson-distributed radiation count with a rate decreasing with the sensor-source distance (which is unknown), buried in a known Poisson background and Gaussian measurement noise. To model energy-constrained operations usually encountered in an Internet of Things (IoT) scenario, local one-bit quantizations are made at each sensor over a period of time. The sensor bits are collected via error-prone binary symmetric channels by the Fusion Center (FC), which has the task of achieving a better global inference. The considered model leads to a one-sided test with parameters of nuisance (i.e., the source position) observable solely in the case of \(\mathcal {H}_{1}\) hypothesis. Aiming at reducing the higher complexity requirements induced by the generalized likelihood ratio test, Davies’ framework is exploited to design a generalized form of the locally optimum detection test and an optimization of sensor thresholds (resorting to a heuristic principle) is proposed. Simulation results verify the proposed approach.
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Notes
- 1.
That is \(|\theta _{1}-\theta _{0}|=c/\sqrt{K}\) for a certain value \(c>0\) [27].
- 2.
By doing a slight notation abuse, we adopt the notation \(\mathrm {I}(\theta ,\varvec{x}_{T},\varvec{\tau })\) (resp. \(\psi _{k,0}(\tau _{k})\) and \(\beta _{k,0}(\tau _{k})\)) in the place of \(\mathrm {I}(\theta ,\varvec{x}_{T})\) (resp. \(\psi _{k,0}\) and \(\beta _{k,0}\)) to highlight their parametric dependence on the local thresholds \(\tau _{k}\)’s.
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Bovenzi, G., Ciuonzo, D., Persico, V., Pescapè, A., Rossi, P.S. (2019). IoT-Enabled Distributed Detection of a Nuclear Radioactive Source via Generalized Score Tests. In: Thampi, S., Marques, O., Krishnan, S., Li, KC., Ciuonzo, D., Kolekar, M. (eds) Advances in Signal Processing and Intelligent Recognition Systems. SIRS 2018. Communications in Computer and Information Science, vol 968. Springer, Singapore. https://doi.org/10.1007/978-981-13-5758-9_7
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