Analysis of filtering and smoothing techniques as applied to aerogravimetry
The problem of gravity anomaly estimation aboard an aircraft solved by using the data from a gravimeter and the differential satellite navigation system is formulated in the framework of the optimal filtering and smoothing theory. Relying upon this statement both the problem of the potential accuracy analysis and problem of designing efficient filtering and smoothing algorithms are solved. In particular, the efficiency of filtering and smoothing in estimating gravity anomalies using various satellite measurements is investigated. A unified algorithm for solving the filtering and smoothing problems is suggested. An example illustrating the results obtained is considered.
Unable to display preview. Download preview PDF.
- 2.Stepanov, O.A., Blazhnov, B.A., and Koshaev, D.A., The Efficiency of Using Velocity and Coordinate Satellite Measurements in Determining Gravity aboard an Aircraft (Proc. of 9th St. Petersburg International Conference on Integrated Navigation Systems, May), Russia, 2002.Google Scholar
- 3.Stepanov, O.A., Investigation of Optimal Filtering and Smoothing Algorithms for One Class of Applied Problems (Proceedings of 7th European Control Conference ECC’01. 1–4 September, 2003) Cambridge, UK, 2003.Google Scholar
- 4.Stepanov, O.A., Relations of Algorithms of Optimal Stationary Filtering and Smoothing, Giroskopiya i navigatsiya, 2004, no. 1, pp. 16–26.Google Scholar
- 5.Stepanov, O.A., An Efficient Unified Algorithm for Filtering and Smoothing Problems (Proceedings IFAC Workshop on Adaptation and Learning in Control and Signal Processing, 2004).Google Scholar
- 6.Blazhnov, B.A., Nesenjuk, L.P., Peshekhonov, V.G., Sokolov, A.V., Elinson, L.S., and Zhelesnyak L.K. An Integrated Mobile Gravimetric System. Development and test results (Proceedings of the 9th Saint-Petersburg International Conference on Integrated Navigation Systems).Google Scholar
- 7.Jordan, S.K., Self-consistent Statistical Models for Gravity Anomaly and Undulation of the Geoid., J. Geophys. Res., 1972, vol. 77, no. 20, pp. 3660–3670.Google Scholar
- 8.Harry, L. Van Trees. Detection, Estimation, and Modulation Theory, New York-London-Sydney; Partl. MIT. John Wiley. Inc., 1968.Google Scholar
- 9.Chelpanov, I.B., Nesenyuk, L.P., and Braginskii, M.V., Calculation of characteristics of navigation aids, Leningrad, Sudostroenie, 1978, in Russian.Google Scholar
- 10.Dmitriev, S.P., Kolevatov, A.P., Nesenyuk, L.P., and Stepanov, O.A.., Gravimetric Data Processing in Marine Navigation (Proceedings of International Symposium Terrestrial Gravimetry: Static and Mobile Measurements.), Saint Petersburg, 2007.Google Scholar
- 11.Kulakova, V.I., Nebylov, A.V., and Stepanov, O.A.., Comparison of Robust Algorithms for Airborne Gravimetry (Proceedings of the 5th IFAC Symposium on Robust Control Design.) Toulouse, 2006.Google Scholar