Adaptive Filtering of Airborne Gravimetry Data Using Hidden Markov Models / Bolotin Yu.V., Doroshin D.R. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. ? 3. P. 36-42 [Moscow Univ. Mech. Bulletin. Vol. 66, N 3, 2011.].

The adaptive filtering of airborne gravimetry data on the flight path of an aircraft is discussed with consideration of the nonuniformity of the Earth's gravity field due to the inhomogeneity of the Earth's crust, topography, etc. Nonuniformity is described by a hidden Markov model with a finite number of states; each state corresponds to a certain type of the gravity anomaly profile. The problem under study is solved with consideration of GPS errors.

Key words: gravimetry, airborne gravimetry, adaptive filtering, hidden Markov models, moving average.