EQUATIONS SYSTEM PARAMETERIZATION FOR THE RADIO EMISSION SOURCES COORDINATES DETERMINATION

Authors

  • R. I. Manuylenko Institute of Applied Mathematics and Mechanics National Academy of sciences, Slovyansk
  • R. L. Pantyeyev National Aviation University, Kyiv
  • A. P. Kozlov National Aviation University, Kyiv
  • Y. A. Opanasiuk National Aviation University, Kyiv

DOI:

https://doi.org/10.18372/1990-5548.62.14392

Keywords:

Passive radiolocation, equations system parameterization, Newton method convergence, hyperboloid, direction finding, time difference of arrival method, radio emission source

Abstract

The problem of determining the location of radio emission sources by means of the time difference of arrival method is considered. The advantages and disadvantages of this method are analyzed. When solving equation systems, it is used Newton's iterative method. In this case, there are cases where Newton's method diverges, and the solution cannot be found. Jacobean is close to zero, if the radio emission source coordinates are located on the segment connecting the observation stations. The method of parameterization of the calculation system for increasing the convergence of the Newton method is considered. The efficiency of the proposed parameterization with different mutual arrangement of the passive radar system and the source of radio emission is analyzed, and proved for greater accuracy calculations should be chosen that hyperboloid, the angle at the top of which is the smallest. It was shown the conditions by that the hyperboloid parameterization allows object coordinates determining with rather high accuracy.

Author Biographies

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

orcid.org/0000-0003-4707-4608

A. P. Kozlov, National Aviation University, Kyiv

Aviation Computer-Integrated Systems Department

Faculty for Aeronavigation, Electronics and Telecommunication

Candidate of Engineering Science. Assistant Professor

Y. A. Opanasiuk, National Aviation University, Kyiv

Aviation Computer-Integrated Systems Department

Faculty for Aeronavigation, Electronics and Telecommunication

Senior Lecturer

References

А. I. Kanashenkov, V. I. Merkulov, and О. F. Samarin, Current state of the perspective radiolocation systems. Opportunities and restrictions. Moscow, 2002, 176 p. (in Russian)

V. N. Tkachenko, R. I. Manuilenko, T. S. Khashan, and R. L. Pantyeyev, “Research of space-temporal models of passive direction finding of the radio emission source,” Works of the East Ukrainian university. vol. 2, pp. 52–59, 2012. (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). doi:10.1109/icsp.2016.7878079.

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Issue

Vol. 4 No. 62 (2019)

Section

MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS

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