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A model is developed for the Kalman tracker to account for stationary trajectory perturbations of a target navigating along a nominal straight-line path. This model is thought to be representative of a certain class of targets and is appropriate for long tracking times associated with surveillance/reconnaissance-type missions. In its simplest form, the model only requires one additional variable in the state equations and is completely characterized by the variance and correlation coefficient of the process.
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Dennis R. Morgan (1976) studied this question.
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