A Detailed Solution to the Hyperbolic Lines of Position Formulation of the Shooter Detection Problem

Report No. ARL-TR-6592
Authors: David L. Doria
Date/Pages: September 2013; 20 pages
Abstract: In this report we detail a classical method of shooter detection, Hyperbolic Lines of Position, to determine the position of a gunshot when the muzzle blast is heard by a distributed microphone array. The core of this solution is computing the intersection of multiple hyperbolae. The traditional approach to intersecting two hyperbolae involves a change of coordinates to align one hyperbola with the Cartesian axes. However, when multiple hyperbolae must be considered simultaneously, we have found it more convenient to perform the intersection calculations in the original coordinate frame.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2013