A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors
1
National Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 450002, China
2
Institute of Surveying and Mapping, Information Engineering University; Zhengzhou 450002, China
*
Author to whom correspondence should be addressed.
Sensors 2018, 18(11), 3747; https://doi.org/10.3390/s18113747
Received: 4 September 2018
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Revised: 26 October 2018
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Accepted: 30 October 2018
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Published: 2 November 2018
(This article belongs to the Special Issue Applications of Wireless Sensors in Localization and Tracking)
Current bias compensation methods for distributed localization consider the time difference of arrival (TDOA) and frequency difference of arrival (FDOA) measurements noise, but ignore the negative influence by the sensor location uncertainties on source localization accuracy. Therefore, a new bias compensation method for distributed localization is proposed to improve the localization accuracy in this paper. This paper derives the theoretical bias of maximum likelihood estimation when the sensor location errors and positioning measurements noise both exist. Using the rough estimate result by MLE to subtract the theoretical bias can obtain a more accurate source location estimation. Theoretical analysis and simulation results indicate that the theoretical bias derived in this paper matches well with the actual bias in moderate noise level so that it can prove the correctness of the theoretical derivation. Furthermore, after bias compensation, the estimate accuracy of the proposed method achieves a certain improvement compared with existing methods.
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Keywords:
distributed localization; bias compensation; sensor location errors; time difference of arrival; frequency difference of arrival
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MDPI and ACS Style
Liu, Z.; Wang, R.; Zhao, Y. A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors. Sensors 2018, 18, 3747. https://doi.org/10.3390/s18113747
AMA Style
Liu Z, Wang R, Zhao Y. A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors. Sensors. 2018; 18(11):3747. https://doi.org/10.3390/s18113747
Chicago/Turabian StyleLiu, Zhixin, Rui Wang, and Yongjun Zhao. 2018. "A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors" Sensors 18, no. 11: 3747. https://doi.org/10.3390/s18113747
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