The "Extended" preferred ordering theorem for precision acquisition tracking and pointing

Donald M. Leskiw, Hong Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In radar tracking, the Preferred Ordering Theorem for updating the state vector in rectangular coordinates using an Extended Kalman Filter states that the measurement components of a detection should be used sequentially in the order azimuth first, then elevation, and range last. Such is counterintuitive to a common belief that the most accurate measurement should be used first, since that is usually range. However, it is shown here that the theorem loses its efficacy as a track converges. An extension is therefore given to remedy that, which is dubbed the DKF after Desargues, since it is based on an analysis involving projective geometry. With this approach a track in rectangular coordinates can be updated using a range or angle observation, separately or sequentially in either order, with less error. In this presentation the basic issues are illustrated, and the DFK is defined and contrasted with the EKF.

Original languageEnglish (US)
Title of host publicationAcquisition, Tracking, Pointing, and Laser Systems Technologies XXIII
DOIs
StatePublished - Sep 10 2009
EventAcquisition, Tracking, Pointing, and Laser Systems Technologies XXIII - Orlando, FL, United States
Duration: Apr 14 2009Apr 15 2009

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume7338
ISSN (Print)0277-786X

Other

OtherAcquisition, Tracking, Pointing, and Laser Systems Technologies XXIII
CountryUnited States
CityOrlando, FL
Period4/14/094/15/09

Keywords

  • DFK
  • Desargues
  • Extended kalman filter
  • POT
  • Preferred ordering theorem
  • Projectivity
  • Radar tracking

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • Cite this

    Leskiw, D. M., & Wang, H. (2009). The "Extended" preferred ordering theorem for precision acquisition tracking and pointing. In Acquisition, Tracking, Pointing, and Laser Systems Technologies XXIII [73380G] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 7338). https://doi.org/10.1117/12.819046