The problem of gravity anomaly (GA) estimation from aircraft is considered. The corresponding filtering problem is formulated under the assumption that satellite data about the aircraft altitude are available and the GA model is known. The sensitivity of the filtering problem to uncertainty of the model parameter characterizing GA variability is analyzed. The joint problem of this parameter identification and GA estimation is formulated as a nonlinear adaptive filtering problem and the algorithm for its solution is described. The simulation results confirm the efficiency of the algorithm.
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Степанов et al. (2015) studied this question.
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