Algebraic distributed source localisation algorithm using TDOA and AOA measurements
This study proposes an algebraic distributed source localisation algorithm that combines time difference of arrival (TDOA) and angle of arrival (AOA) measurements. The proposed algorithm uses AOAs to remove the unknown parameters in TDOA equations caused by the specially distributed structure. Then,...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-07-01
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| Series: | The Journal of Engineering |
| Subjects: | |
| Online Access: | https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0372 |
| _version_ | 1818406904714493952 |
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| author | Zhixin Liu Yongsheng Zhao Ke Jin Dexiu Hu Rui Wang Yongjun Zhao |
| author_facet | Zhixin Liu Yongsheng Zhao Ke Jin Dexiu Hu Rui Wang Yongjun Zhao |
| author_sort | Zhixin Liu |
| collection | DOAJ |
| description | This study proposes an algebraic distributed source localisation algorithm that combines time difference of arrival (TDOA) and angle of arrival (AOA) measurements. The proposed algorithm uses AOAs to remove the unknown parameters in TDOA equations caused by the specially distributed structure. Then, the observation equations are transformed into a set of pseudo-linear equations and apply linear weighted least square to obtain the source position. The application of weighting matrix can lead to an approximate maximum likelihood estimator and produce a substantial improvement in source localisation accuracy. Both theoretical analysis and simulation results indicate the efficiency of the proposed algorithm and its performance can achieve the Cramer–Rao lower bound at a moderate noise level. |
| first_indexed | 2024-12-14T09:19:21Z |
| format | Article |
| id | doaj.art-baa67e2d473c481dae30d2bea4ef1e32 |
| institution | Directory Open Access Journal |
| issn | 2051-3305 |
| language | English |
| last_indexed | 2024-12-14T09:19:21Z |
| publishDate | 2019-07-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Journal of Engineering |
| spelling | doaj.art-baa67e2d473c481dae30d2bea4ef1e322022-12-21T23:08:21ZengWileyThe Journal of Engineering2051-33052019-07-0110.1049/joe.2019.0372JOE.2019.0372Algebraic distributed source localisation algorithm using TDOA and AOA measurementsZhixin Liu0Yongsheng Zhao1Ke Jin2Dexiu Hu3Rui Wang4Yongjun Zhao5National Digital Switching System Engineering and Technological Research CentreNational Digital Switching System Engineering and Technological Research CentreNational Digital Switching System Engineering and Technological Research CentreNational Digital Switching System Engineering and Technological Research CentreNational Digital Switching System Engineering and Technological Research CentreNational Digital Switching System Engineering and Technological Research CentreThis study proposes an algebraic distributed source localisation algorithm that combines time difference of arrival (TDOA) and angle of arrival (AOA) measurements. The proposed algorithm uses AOAs to remove the unknown parameters in TDOA equations caused by the specially distributed structure. Then, the observation equations are transformed into a set of pseudo-linear equations and apply linear weighted least square to obtain the source position. The application of weighting matrix can lead to an approximate maximum likelihood estimator and produce a substantial improvement in source localisation accuracy. Both theoretical analysis and simulation results indicate the efficiency of the proposed algorithm and its performance can achieve the Cramer–Rao lower bound at a moderate noise level.https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0372sensor placementtime-of-arrival estimationdirection-of-arrival estimationmaximum likelihood estimationalgebraic distributed source localisation algorithmAOA measurementsanglearrival measurementsTDOA equationsspecially distributed structurepseudolinear equationssource positionsource localisation accuracy |
| spellingShingle | Zhixin Liu Yongsheng Zhao Ke Jin Dexiu Hu Rui Wang Yongjun Zhao Algebraic distributed source localisation algorithm using TDOA and AOA measurements The Journal of Engineering sensor placement time-of-arrival estimation direction-of-arrival estimation maximum likelihood estimation algebraic distributed source localisation algorithm AOA measurements angle arrival measurements TDOA equations specially distributed structure pseudolinear equations source position source localisation accuracy |
| title | Algebraic distributed source localisation algorithm using TDOA and AOA measurements |
| title_full | Algebraic distributed source localisation algorithm using TDOA and AOA measurements |
| title_fullStr | Algebraic distributed source localisation algorithm using TDOA and AOA measurements |
| title_full_unstemmed | Algebraic distributed source localisation algorithm using TDOA and AOA measurements |
| title_short | Algebraic distributed source localisation algorithm using TDOA and AOA measurements |
| title_sort | algebraic distributed source localisation algorithm using tdoa and aoa measurements |
| topic | sensor placement time-of-arrival estimation direction-of-arrival estimation maximum likelihood estimation algebraic distributed source localisation algorithm AOA measurements angle arrival measurements TDOA equations specially distributed structure pseudolinear equations source position source localisation accuracy |
| url | https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0372 |
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