Abstract
The probabilistic models underlying the estimation of the coordinates of an object’s position in a topology of one-dimensional manifolds are analysed in the case of a multiangle measuring system. The specific features of these models are identified, and the sequence of their use in processing data produced by a three-angle measuring system is described.
Similar content being viewed by others
References
Kondrat’ev, V.S., Kotov, A.F., and Markov, L.N., Mnogopozitsionnye radiotekhnicheskie sistemy (Multiposition Radiotechnical Systems), Moscow: Radio Svyaz’, 1986.
Yarlykov, M.S., Statisticheskaya teoriya radionavigatsii (Statistical Theory of Radionavigation), Moscow: Radio Svyaz’, 1985.
Gromov, G.N., Differentsial’no-geometricheskii metod navigatsii (Differential-Geometrical Method of Navigation), Moscow: Radio Svyaz’, 1986.
Khutortsev, V.V., Principles of Space-Differential Filtration of Trajectory Parameters of Objects Moving along One-Dimensional Manifolds, Radiotekhn. Elektron., 1993, vol. 38, pp. 1026–1036.
Khutortsev, V.V., Spatial-Differential Filtration of Markov Processes on One-Dimensional Stochastic Manifolds, Avtom. Telemekh., 1994, no. 6, pp. 117–125.
Khutortsev, V.V., Principles of Spatial-Differential Adaptive Filtration of Markov Processes on One-Dimensional Stochastic Manifolds, Radiotekh. Elektron., 1994, vol. 39, pp. 1637–1646.
Semenenko, A.N. and Khutortsev, V.V., On Peculiarities of Synthesis of Observation Control for Objects that Move along One-Dimensional Spatial Manifolds, J. Comp. System Sci. Int., 1996, vol. 35, pp. 916–921.
Khutortsev, V.V., Semenenko, A.N., and Boldyrikhin, N.V., Spatial Description of Trajectory in Navigation Problems at Unknown Laws of Object Motion, Radiotekhnika, 1997, no. 4, pp. 13–15.
Khutortsev, V.V., Spatial Optimization of Observations, Automat. Remote Cont., 1997, vol. 58, pp. 1920–1928.
Dubrovin, B.A., Novikov, S.P., and Fomenko, A.T., Sovremennaya geometriya. Metody i prilozheniya (Modern Geometry. Methods and Applications), Moscow: Nauka, 1986.
Levin, B.R., Teoreticheskie osnovy statisticheskoi radiotekhniki (Theoretical Foundations of Statistical Radiotechnics), Moscow: Radio Svyaz’, 1989.
Tikhonov, V.I. and Kharisov, V.N., Statisticheskii analiz i sintez radiotekhnicheskikh ustroistv i sistem (Statistical Analysis and Synthesis of Radiotechnical Devices and Systems), Moscow: Radio Svyaz’, 1991.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.V. Khutortsev, 2013, published in Avtomatika i Vychislitel’naya Tekhnika, 2013, No. 1, pp. 66–78.
About this article
Cite this article
Khutortsev, V.V. On probabilistic models for estimating the coordinates of the object’s position in a topology of one-dimensional manifolds. Aut. Control Comp. Sci. 47, 48–56 (2013). https://doi.org/10.3103/S0146411613010045
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0146411613010045