Skip to main content
Log in

On probabilistic models for estimating the coordinates of the object’s position in a topology of one-dimensional manifolds

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Kondrat’ev, V.S., Kotov, A.F., and Markov, L.N., Mnogopozitsionnye radiotekhnicheskie sistemy (Multiposition Radiotechnical Systems), Moscow: Radio Svyaz’, 1986.

    Google Scholar 

  2. Yarlykov, M.S., Statisticheskaya teoriya radionavigatsii (Statistical Theory of Radionavigation), Moscow: Radio Svyaz’, 1985.

    Google Scholar 

  3. Gromov, G.N., Differentsial’no-geometricheskii metod navigatsii (Differential-Geometrical Method of Navigation), Moscow: Radio Svyaz’, 1986.

    Google Scholar 

  4. 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.

    Google Scholar 

  5. Khutortsev, V.V., Spatial-Differential Filtration of Markov Processes on One-Dimensional Stochastic Manifolds, Avtom. Telemekh., 1994, no. 6, pp. 117–125.

    Google Scholar 

  6. 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.

    Google Scholar 

  7. 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.

    MATH  Google Scholar 

  8. 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.

    Google Scholar 

  9. Khutortsev, V.V., Spatial Optimization of Observations, Automat. Remote Cont., 1997, vol. 58, pp. 1920–1928.

    MathSciNet  MATH  Google Scholar 

  10. Dubrovin, B.A., Novikov, S.P., and Fomenko, A.T., Sovremennaya geometriya. Metody i prilozheniya (Modern Geometry. Methods and Applications), Moscow: Nauka, 1986.

    MATH  Google Scholar 

  11. Levin, B.R., Teoreticheskie osnovy statisticheskoi radiotekhniki (Theoretical Foundations of Statistical Radiotechnics), Moscow: Radio Svyaz’, 1989.

    Google Scholar 

  12. 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.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. V. Khutortsev.

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411613010045

Keywords

Navigation