AN ERROR ANALYSIS OF A SUBMARINE-LOCATION SYSTEM,

Abstract

A submarine-location system is assumed to consist of four hydrophones which are located exactly at the corners of a known rhombus (5with a 60-degree internal angle) on a level ocean floor. Differences in distances from the submarine to the hydrophones in pairs are used to compute the position of the submarine. These differences are not known exactly, but each is subject to random error. Direct measurement of the distance of the submarine from any given hydrophone is assumed to be not possible for this system. The random errors in the distance differences causes random error in any computed position of the submarine. A method is derived for estimating the random error in the computed position, as a function of the systemic geometry and of the random errors of distance differences. The method has been programmed for machine computation. A numerical example has been computed, and the results are presented in summary form as four contour charts. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 05, 1963
Accession Number
AD0422733

Entities

People

  • M. L. Eaton

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computations
  • Error Analysis
  • Errors
  • Geometry
  • Hydrophones
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Seabed
  • Submarines

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Oceanography.
  • Statistical inference.