Optimal triangulation in the presence of range errors
Abstract
This paper is essentially a subset of the report NPS-53-84-0008 by I.B. Russak
and A. A. Goldstein with modifications made to the proof of the optimal ity of
the three dimensional triangulation.
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 below and formed the intcentive for the work herein. The application
consisted of precisely locating hydrophones placed on a ship's hull 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.