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

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2013
Accession Number
ADA585859

Entities

People

  • David L. Doria

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Temperature
  • Coefficients
  • Department Of Defense
  • Detection
  • Equations
  • Geometric Forms
  • Geometry
  • Global Positioning Systems
  • Hyperbolas
  • Lines (Geometry)
  • Microphones
  • Military Research
  • Numbers
  • Observers
  • Square Roots
  • Two Dimensional

Readers

  • Acoustics.
  • Approximation Theory.
  • Joint Military Operations and Doctrine.