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Proceedings Paper

Method for triangulation on a moving broadband airborne target
Author(s): Chad M. Williams; Jay E. Williams; Kenneth E. Gilbert
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Paper 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.

Paper Details

Date Published: 27 September 2001
PDF: 10 pages
Proc. SPIE 4393, Unattended Ground Sensor Technologies and Applications III, (27 September 2001); doi: 10.1117/12.441278
Show Author Affiliations
Chad M. Williams, Miltec, Inc. (United States)
Jay E. Williams, Miltec, Inc. (United States)
Kenneth E. Gilbert, Univ. of Mississippi (United States)

Published in SPIE Proceedings Vol. 4393:
Unattended Ground Sensor Technologies and Applications III
Edward M. Carapezza, Editor(s)

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