Accession Number:

AD0420831

Title:

OPTIMUM PRECISION OF LOCATING A SUBMARINE WITH THREE HYDROPHONES AND EXACT DEPTH SENSOR,

Descriptive Note:

Corporate Author:

PACIFIC MISSILE RANGE POINT MUGU CALIF

Personal Author(s):

Report Date:

1963-01-18

Pagination or Media Count:

27.0

Abstract:

Three hydrophones are assumed to be located exactly at the corners of a known equilateral triangle on a level ocean floor, and a submarine is assumed to be located at a known height above the floor. The three measured distances of the submarine from the hydrophones are subject to random error. A method for estimating the position of the submarine with minimum randomerror variance was derived. Using the hydrophones in pairs leads to three estimates of position. Minimization of variance is accomplished by computing the best relative averaging weights for these three estimates and by using the weighted estimates to compute the final estimate of the position. A computer program is available for use with any desired combination of inputs for this problem. The method of averaging redundant measurement for maximum precision is applicable generally in various fields for averaging sets of redundant measurements for maximum precision of estimate. Numerical examples, which compare this method with three others commonly used, are included in the forms of tables and contour maps. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE