Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements
This paper develops an efficient bi-iterative source location and propagation speed estimation method utilizing time difference of arrival (TDOA) measurements. The source location and propagation speed estimation is a nonlinear problem due to the nonlinearity in the TDOA measurement equations. The n...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-12-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1155/2014/689871 |
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| _version_ | 1832547860775698432 |
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| author | Guo-Hui Zhu Da-Zheng Feng Yan Zhou |
| author_facet | Guo-Hui Zhu Da-Zheng Feng Yan Zhou |
| author_sort | Guo-Hui Zhu |
| collection | DOAJ |
| description | This paper develops an efficient bi-iterative source location and propagation speed estimation method utilizing time difference of arrival (TDOA) measurements. The source location and propagation speed estimation is a nonlinear problem due to the nonlinearity in the TDOA measurement equations. The newly developed bi-iterative method computes the source location and propagation speed alternately. The asymptotic convergence of the new bi-iterative method is theoretically analyzed. First-order perturbation analysis is applied to the newly developed solution to derive its bias and variance. The first-order analytical results show that the proposed method provides approximately unbiased source position and propagation speed estimates for low noise levels and the accuracy of these estimates approaches the Cramer-Rao lower bound (CRLB). The extension of the new bi-iterative method to the more general situation where the sensor locations are subject to random errors is also presented. Simulation studies are given to show the good performance of the proposed method. |
| format | Article |
| id | doaj-art-99b8a320c8c243e39b455f27753f915d |
| institution | Kabale University |
| issn | 1550-1477 |
| language | English |
| publishDate | 2014-12-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj-art-99b8a320c8c243e39b455f27753f915d2025-02-03T06:43:14ZengWileyInternational Journal of Distributed Sensor Networks1550-14772014-12-011010.1155/2014/689871689871Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA MeasurementsGuo-Hui ZhuDa-Zheng FengYan ZhouThis paper develops an efficient bi-iterative source location and propagation speed estimation method utilizing time difference of arrival (TDOA) measurements. The source location and propagation speed estimation is a nonlinear problem due to the nonlinearity in the TDOA measurement equations. The newly developed bi-iterative method computes the source location and propagation speed alternately. The asymptotic convergence of the new bi-iterative method is theoretically analyzed. First-order perturbation analysis is applied to the newly developed solution to derive its bias and variance. The first-order analytical results show that the proposed method provides approximately unbiased source position and propagation speed estimates for low noise levels and the accuracy of these estimates approaches the Cramer-Rao lower bound (CRLB). The extension of the new bi-iterative method to the more general situation where the sensor locations are subject to random errors is also presented. Simulation studies are given to show the good performance of the proposed method.https://doi.org/10.1155/2014/689871 |
| spellingShingle | Guo-Hui Zhu Da-Zheng Feng Yan Zhou Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements International Journal of Distributed Sensor Networks |
| title | Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements |
| title_full | Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements |
| title_fullStr | Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements |
| title_full_unstemmed | Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements |
| title_short | Efficient Bi-Iterative Method for Source Position and Propagation Speed Estimation Using TDOA Measurements |
| title_sort | efficient bi iterative method for source position and propagation speed estimation using tdoa measurements |
| url | https://doi.org/10.1155/2014/689871 |
| work_keys_str_mv | AT guohuizhu efficientbiiterativemethodforsourcepositionandpropagationspeedestimationusingtdoameasurements AT dazhengfeng efficientbiiterativemethodforsourcepositionandpropagationspeedestimationusingtdoameasurements AT yanzhou efficientbiiterativemethodforsourcepositionandpropagationspeedestimationusingtdoameasurements |