Derivation of the One-Sigma Probability Elliptic Contours

Abstract

While tracking a target it is desirable to know how well the target tracking algorithm thinks it knows the target's location. A common method used to indicate the quality of the track is to display the one-sigma uncertainty ellipse. This indicator of the track's quality is derived directly from the tracker's convariance matrix. The following are two methods for deriving the one-sigma uncertainty ellipse. The first method uses the trigometric equations of an ellipse, and the second uses matrix rotation to accomplish the same task. The last part of this paper described a parametric method of plotting any ellipse.

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Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1986
Accession Number
ADA176560

Entities

People

  • Merlin L. Warner

Organizations

  • Naval Ordnance Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Coefficients
  • Coordinate Systems
  • Eigenvalues
  • Equations
  • Military Research
  • Naval Operations
  • Naval Warfare
  • Navy
  • Plotting
  • Probability
  • Probability Density Functions
  • Rotation
  • Security
  • Target Tracking
  • Two Dimensional

Readers

  • Approximation Theory.
  • Radar Systems Engineering.