A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors
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 c...
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doaj-0fb5bd2bec6441108f1531a486c566fd2020-11-24T21:41:37ZengMDPI AGSensors1424-82202018-11-011811374710.3390/s18113747s18113747A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location ErrorsZhixin Liu0Rui Wang1Yongjun Zhao2National Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 450002, ChinaInstitute of Surveying and Mapping, Information Engineering University; Zhengzhou 450002, ChinaNational Digital Switching System Engineering and Technological Research Center (NDSC), Zhengzhou 450002, ChinaCurrent 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.https://www.mdpi.com/1424-8220/18/11/3747distributed localizationbias compensationsensor location errorstime difference of arrivalfrequency difference of arrival |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Zhixin Liu Rui Wang Yongjun Zhao |
spellingShingle |
Zhixin Liu Rui Wang Yongjun Zhao A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors Sensors distributed localization bias compensation sensor location errors time difference of arrival frequency difference of arrival |
author_facet |
Zhixin Liu Rui Wang Yongjun Zhao |
author_sort |
Zhixin Liu |
title |
A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors |
title_short |
A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors |
title_full |
A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors |
title_fullStr |
A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors |
title_full_unstemmed |
A Bias Compensation Method for Distributed Moving Source Localization Using TDOA and FDOA with Sensor Location Errors |
title_sort |
bias compensation method for distributed moving source localization using tdoa and fdoa with sensor location errors |
publisher |
MDPI AG |
series |
Sensors |
issn |
1424-8220 |
publishDate |
2018-11-01 |
description |
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. |
topic |
distributed localization bias compensation sensor location errors time difference of arrival frequency difference of arrival |
url |
https://www.mdpi.com/1424-8220/18/11/3747 |
work_keys_str_mv |
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