Effect of Mixed Instrumentation in Tracking Targets with Minimal Error.
FLORIDA UNIV GAINESVILLE DEPT OF INDUSTRIAL AND SYSTEMS ENGINEERING
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Accurate statistical estimates of the Cartesian coordinates of a stationary target depend, in general, on such factors as target position, number and type of instruments, their location, their accuracy and their mix. For a mix of instruments, theoretical arguments are established to determine the optimal siting of the instruments which minimizes the geometric dilution of precision GDOP, taken as the square root of the sum of the variances of the estimates in the three orthogonal directions. Direct measurements are assumed to be made in elevation, azimuth and range with errors independently and normally distributed. The method of maximum likelihood estimation is used to statistically characterize the random variable measuring the distance between estimated and true target position. To estalbish the most desirable siting of instruments and considering the elevation angle as decision variable, an optimization problem is formulated to minimize GDOP for various types of instrument mix. Author
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