Optimal Triangulation in the Presence of Range Errors.

Abstract

The problem of determining the location of a fixed point using range only data occurs in a variety of areas including military applications. An example is outlined and formed the incentive for the work herein. The application consisted of precisely locating hydrophones placed on a ship's null for the purpose of receiving acoustic signals to be used in calculating torpedo positions during a test. In this paper a method is developed which under the assumption of fixed system error input (in range data) produces the smallest possible error in locating the hydrophones. The goal is to determine the coordinates of a point in 3-dimensional space. For the purpose of simplicity this document first investigates the 2-dimensional version of this problem and then extends it to the 3-dimensional case.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1986
Accession Number
ADA174562

Entities

People

  • A. A. Goldstein
  • I. B. Russak

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Signals
  • Approximation (Mathematics)
  • Classification
  • Equations
  • Errors
  • Geometry
  • Hydrophones
  • Iterations
  • Mathematics
  • Military Applications
  • Numbers
  • Numerical Analysis
  • Observers
  • Security
  • Three Dimensional
  • Triangulation
  • Two Dimensional

Readers

  • Acoustical Oceanography.
  • Geodesy
  • Statistical inference.

Technology Areas

  • Space