ERROR ANALYSIS FOR DETERMINATION OF TARGET POSITION AND VELOCITY FROM TWO OR MORE OBSERVERS

摘要

If a target is observed from two or more separate points, it may be possible to determine the target's position and motion from the measurements obtained. However, since these measurements contain errors, there will be errors in the determination of the target's position and velocity.nThis paper investigates the significance of statistical errors of measurement of target position and velocity for any location of the target relative to the observers by the following two measuring systems:n(1) System employing angle only information from two observers.n(2) System employing range only information from three observers.nGaussian errors with zero mean are assumed throughout. The various errors for each measuring system are first considered individually and then combined. This yields statistical error boundaries in target position which are determined by ellipses for the two dimensional case and by ellipsoids for the three dimensional case. The main axes of the error geometries and their angles relative to some reference are computed and their loci plotted for any target position.