A Uniqueness Proof for Sonar Motion Estimation

Abstract

To establish the groundwork for estimating circular motion from sonar measurements, necessary and sufficient conditions for the existence and uniqueness of a motion parameter solution are derived. The measurements, range, range rate, and bearing, for a point on a moving object, are assumed to be matched, i.e. associated with measurements of the same point at a later time. These six measurements; R1, R2, R1, R2, B1, and B2; subscripted to denote time, are used to estimate five parameters of planar motion; initial position, x1,y1: speed, V; initial heading, H1; and heading rate, omega. The range and bearing measurements are transformed to initial position and (equivalent) straight line travel distance, D, and direction, Phi.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA199153

Entities

People

  • Rockie L. Ricks
  • Shankar Chatterjee

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Classification
  • Consistency
  • Equations
  • Information Science
  • Measurement
  • Monitoring
  • Observers
  • Security

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Analytical Mechanics
  • Calculus or Mathematical Analysis