In an effort to secure the northern and southern United States borders, MITRE has been tasked
with developing Modeling and Simulation (M&S) tools that accurately capture the mapping between
algorithm-level Measures of Performance (MOP) and system-level Measures of Effectiveness
(MOE) for current/future surveillance systems deployed by the the Customs and Border Protection
Office of Technology Innovations and Acquisitions (OTIA). This analysis is part of a larger
M&S undertaking. The focus is on two MOPs for magnetometer-based Unattended Ground Sensors
(UGS). UGS are placed near roads to detect passing vehicles and estimate properties of the vehicle’s
trajectory such as bearing and speed. The first MOP considered is the probability of detection. We
derive probabilities of detection for a network of sensors over an arbitrary number of observation
periods and explore how the probability of detection changes when multiple sensors are employed.
The performance of UGS is also evaluated based on the level of variance in the estimation of trajectory
parameters. We derive the Cramer-Rao bounds for the variances of the estimated parameters
in two cases: when no a priori information is known and when the parameters are assumed to be
Gaussian with known variances. Sample results show that UGS perform significantly better in the
latter case.
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