Target localization method based on semi-definite relaxation with frequency difference of arrival
The use of frequency measurements to achieve target positioning is characterized by low cost and high reliability. Using only frequency difference of arrival (FDOA) measurements, a precise localization method for static target position was proposed. To address the highly nonlinear of the established...
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| Format: | Article |
| Language: | zho |
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Beijing Xintong Media Co., Ltd
2024-03-01
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| Series: | Dianxin kexue |
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| Online Access: | http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2024076/ |
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| author | MAO Xiaoting WU Xiaoping |
| author_facet | MAO Xiaoting WU Xiaoping |
| author_sort | MAO Xiaoting |
| collection | DOAJ |
| description | The use of frequency measurements to achieve target positioning is characterized by low cost and high reliability. Using only frequency difference of arrival (FDOA) measurements, a precise localization method for static target position was proposed. To address the highly nonlinear of the established frequency measurement equation, it was transformed into a pseudo-linear equation in matrix form by introducing auxiliary variables. Then the non-convex weighted least squares (WLS) problem was relaxed into a semi-definite programming (SDP) problem by using the semi-definite relaxation (SDR) method, so as to further accurately estimate the position of unknown variables. Finally, the root mean square error (RMSE) of the proposed method was analyzed to verify its performance. The simulation results show that the performance of the adopted semi-definite relaxation method is able to reach the Cramer-Rao lower bound (CRLB) at lower Gaussian noise levels and the algorithm is highly robust to geometry. In addition, its RMSE performance is better than that of the two-stage weighted least square (TSWLS) method for a smaller number of sensors. |
| format | Article |
| id | doaj-art-95c43ca1f6554f09914c22519d8189ae |
| institution | Kabale University |
| issn | 1000-0801 |
| language | zho |
| publishDate | 2024-03-01 |
| publisher | Beijing Xintong Media Co., Ltd |
| record_format | Article |
| series | Dianxin kexue |
| spelling | doaj-art-95c43ca1f6554f09914c22519d8189ae2025-01-15T02:48:20ZzhoBeijing Xintong Media Co., LtdDianxin kexue1000-08012024-03-014010411555075324Target localization method based on semi-definite relaxation with frequency difference of arrivalMAO XiaotingWU XiaopingThe use of frequency measurements to achieve target positioning is characterized by low cost and high reliability. Using only frequency difference of arrival (FDOA) measurements, a precise localization method for static target position was proposed. To address the highly nonlinear of the established frequency measurement equation, it was transformed into a pseudo-linear equation in matrix form by introducing auxiliary variables. Then the non-convex weighted least squares (WLS) problem was relaxed into a semi-definite programming (SDP) problem by using the semi-definite relaxation (SDR) method, so as to further accurately estimate the position of unknown variables. Finally, the root mean square error (RMSE) of the proposed method was analyzed to verify its performance. The simulation results show that the performance of the adopted semi-definite relaxation method is able to reach the Cramer-Rao lower bound (CRLB) at lower Gaussian noise levels and the algorithm is highly robust to geometry. In addition, its RMSE performance is better than that of the two-stage weighted least square (TSWLS) method for a smaller number of sensors.http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2024076/frequency measurementfrequency difference of arrivalsemi-definite relaxationsemi-definite programmingstatic target positioning |
| spellingShingle | MAO Xiaoting WU Xiaoping Target localization method based on semi-definite relaxation with frequency difference of arrival Dianxin kexue frequency measurement frequency difference of arrival semi-definite relaxation semi-definite programming static target positioning |
| title | Target localization method based on semi-definite relaxation with frequency difference of arrival |
| title_full | Target localization method based on semi-definite relaxation with frequency difference of arrival |
| title_fullStr | Target localization method based on semi-definite relaxation with frequency difference of arrival |
| title_full_unstemmed | Target localization method based on semi-definite relaxation with frequency difference of arrival |
| title_short | Target localization method based on semi-definite relaxation with frequency difference of arrival |
| title_sort | target localization method based on semi definite relaxation with frequency difference of arrival |
| topic | frequency measurement frequency difference of arrival semi-definite relaxation semi-definite programming static target positioning |
| url | http://www.telecomsci.com/zh/article/doi/10.11959/j.issn.1000-0801.2024076/ |
| work_keys_str_mv | AT maoxiaoting targetlocalizationmethodbasedonsemidefiniterelaxationwithfrequencydifferenceofarrival AT wuxiaoping targetlocalizationmethodbasedonsemidefiniterelaxationwithfrequencydifferenceofarrival |