HYPERBOLOID PARAMETERIZATION USING IN THE MOVING OBJECT POSITION AND TRAJECTORY DETERMINATION

Authors

  • P. I. Bidyuk National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”
  • R. I. Manuylenko Institute of Applied Mathematics and Mechanics, National Academy of sciences, Slovyansk
  • R. L. Pantyeyev National Aviation University, Kyiv
  • Yu. A. Opanasiuk National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.64.14855

Keywords:

Passive radio monitoring, parameterization, convergence, hyperboloid, radio emission object, passive search direction, Newton's method, reduction of matrix dimension

Abstract

The problem of the coordinates determining of the radio emission source in the passive radio monitoring complexes is very relevant, but complex calculation procedure. There are many factors that negatively affect the accuracy of the method. The method proposed in this article will more accurately determine the coordinates of the object. The article considers a mathematical model of space-time objects and a complex radio source. Based on parameterization and coordinate transformation, the hyperbolic system of object position equations is reduced from three to two equations. As a result, reducing the number of iterations and the number of calculations in one iteration of Newton's method are more accurate coordinates of the object. Parameterization quickly determines the new location of the object at the maximum possible speed. Usually airplanes and drones move at a lower speed, so the use of difference-range method and parameterization of hyperboloids allow you to find a new location of the object in one iteration.

Author Biographies

P. I. Bidyuk, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Institute for Applied System Analysis

Doctor of Engineering Science. Professor

orcid.org/0000-0002-7421-3565

R. I. Manuylenko, Institute of Applied Mathematics and Mechanics, National Academy of sciences, Slovyansk

Systems Control Theory Department

Candidate of Engineering Science. Scientific Employee

R. L. Pantyeyev, National Aviation University, Kyiv

Aviation Computer-Integrated Systems Department, Faculty for Aeronavigation, Electronics and Telecommunication

Candidate of Engineering Science. Assistant Professor

Yu. A. Opanasiuk, National Aviation University, Kyiv

Aviation Computer-Integrated Systems Department, Faculty for Aeronavigation, Electronics and Telecommunication

Senior Lecturer

References

A. I. Kanaschenkov, V. I. Merkulov, O. F. Samarin, The appearance of promising radar systems. Features and limitations. Moscow, 2002, 376 p. (in Russian)

M. V. Mikhailov, “The history of the emergence and development of generalized methods and adaptive algorithms for processing trajectory information,” Proceedings of the IV International Scientific and Practical Conference "Dynamics of Scientific Research, vol. 25, Dnepropetrovsk: Science and Education, 2005, 92 p. (in Russian)

О. М. Rybytska, D. М. Bilonoga, and P. І. Kalenyuk, Linear algebra and analytical geometry: teaching book. Publishing house of Lviv Polytechnica, 2011, 124 p. (in Ukrainian)

L. Yang, J. Cao, & W. Yang, “TDOA location based on modified Newton method,” 2016 IEEE 13th International Conference on Signal Processing (ICSP). https://doi.org/10.1109/ICSP.2016.7878079.

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Issue

Vol. 2 No. 64 (2020)

Section

COMPUTER ENGINEERING

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