LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS
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 mult...
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| Format: | Article |
| Language: | Russian |
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Saint Petersburg Electrotechnical University "LETI"
2018-08-01
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| Series: | Известия высших учебных заведений России: Радиоэлектроника |
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| Online Access: | https://re.eltech.ru/jour/article/view/247 |
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| _version_ | 1849249527596318720 |
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| author | A. A. Monakov |
| author_facet | A. A. Monakov |
| author_sort | A. A. Monakov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3f2ca6b7b52e41fa9c9f1229afdd143c |
| institution | Kabale University |
| issn | 1993-8985 2658-4794 |
| language | Russian |
| publishDate | 2018-08-01 |
| publisher | Saint Petersburg Electrotechnical University "LETI" |
| record_format | Article |
| series | Известия высших учебных заведений России: Радиоэлектроника |
| spelling | doaj-art-3f2ca6b7b52e41fa9c9f1229afdd143c2025-08-20T03:57:32ZrusSaint Petersburg Electrotechnical University "LETI"Известия высших учебных заведений России: Радиоэлектроника1993-89852658-47942018-08-0104384610.32603/1993-8985-2018-21-4-38-46239LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMSA. A. Monakov0Saint Petersburg State University of Aerospace InstrumentationAt 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.https://re.eltech.ru/jour/article/view/247radio navigationmultilaterationposition estimationthe bancroft algorithm |
| spellingShingle | A. A. Monakov LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS Известия высших учебных заведений России: Радиоэлектроника radio navigation multilateration position estimation the bancroft algorithm |
| title | LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS |
| title_full | LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS |
| title_fullStr | LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS |
| title_full_unstemmed | LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS |
| title_short | LOCALIZATION ALGORITHM FOR MULTILATERATION SYSTEMS |
| title_sort | localization algorithm for multilateration systems |
| topic | radio navigation multilateration position estimation the bancroft algorithm |
| url | https://re.eltech.ru/jour/article/view/247 |
| work_keys_str_mv | AT aamonakov localizationalgorithmformultilaterationsystems |