article · Journal of the Russian Universities Radioelectronics · 2018

LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS

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Abstract

At present, multilateration systems are becoming increasingly important in air traffic control. This is due to their significant advantages in compare with secondary surveillance radar complexes. This article solves the problem of synthesizing an algorithm for object location estimation for multilateration system operating in passive mode. The synthesized algorithm is a combination of a procedure, the result of which is a rough estimate of the observed object coordinates, and an iterative algorithm specifying the resulting solution. The rough estimate is the result of solving a linear system of equations. The iterative refinement procedure is based on the linearization of the observational equations and does not require a large number of iterations. The paper provides a comparative statistical analysis of the proposed algorithm and the known Bancroft algorithm. For an objective analysis of two algorithms, the paper derives the Cramer-Rao boundary for the correlation matrix of estimates of the observed object coordinates, which makes it possible to determine the potential accuracy of the solution of the problem. It is shown that both algorithms allow obtaining estimates, the accuracy of which is close to the potentially achievable accuracy of the object location estimate. In contrast to the Bancroft algorithm, the rough estimate of the object location is unambiguous. This virtue reduces the total amount of computations during the algorithm implementation and reduces the probability of anomalous errors.

Cite this paper

APA 7

Монаков, А. А. (2018). LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS. Journal of the Russian Universities Radioelectronics, 38–46. https://doi.org/10.32603/1993-8985-2018-21-4-38-46

MLA 9

Монаков, А. А. “LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS.” Journal of the Russian Universities Radioelectronics, no. 4, 2018, pp. 38–46, https://doi.org/10.32603/1993-8985-2018-21-4-38-46.

Chicago

Монаков, А. А. 2018. “LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS.” Journal of the Russian Universities Radioelectronics: 38–46. https://doi.org/10.32603/1993-8985-2018-21-4-38-46.

Harvard

Монаков, А.А. (2018) ‘LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS’, Journal of the Russian Universities Radioelectronics, pp. 38–46. Available at: https://doi.org/10.32603/1993-8985-2018-21-4-38-46.

BibTeX

@article{anon2018localization,
  title = {{LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS}},
  author = {Монаков, А. А.},
  journal = {Journal of the Russian Universities Radioelectronics},
  number = {4},
  pages = {38--46},
  year = {2018},
  doi = {10.32603/1993-8985-2018-21-4-38-46}
}

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