Method for triangulation on a moving broadband airborne target

Chad M. Williams; Jay E. Williams; Kenneth E. Gilbert

doi:10.1117/12.441278

27 September 2001 Method for triangulation on a moving broadband airborne target

Chad M. Williams, Jay E. Williams, Kenneth E. Gilbert

Proceedings Volume 4393, Unattended Ground Sensor Technologies and Applications III; (2001) https://doi.org/10.1117/12.441278
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

Abstract

It is well known that lines of bearing to an airborne broadband target can be easily measured on a small ground-based array of microphones. With a stationary target and two arrays, the target location can be estimated by direct triangulation, i.e., by the crossing point of bearing lines. With a moving source, however, one must identify arrival times on the arrays that correspond to a common emission point or, equivalently, a common emission time. This paper shows that, with two arrays, the three-dimensional track of a moving airborne target can be determined by finding the stationary points of an iterative non-linear equation. The equation is of the form (tau) _geo((tau) _bt) equals (tau) '_bt where (tau) _geo is the difference in travel times determined from geometry, (tau) _bt is the travel time difference taken from the bearing-time curves for two different arrays, and (tau) _bt is the estimated value for (tau) _bt. The stationary points, i.e., where (tau) _geo equals (tau) _bt, allow the target track to be computed directly from triangulation. Examples are discussed using simulated data.

Citation Download Citation

Chad M. Williams, Jay E. Williams, and Kenneth E. Gilbert "Method for triangulation on a moving broadband airborne target", Proc. SPIE 4393, Unattended Ground Sensor Technologies and Applications III, (27 September 2001); https://doi.org/10.1117/12.441278

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