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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Main Authors: Zhixin Liu, Rui Wang, Yongjun Zhao
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/18/11/3747
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spelling 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
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AT ruiwang abiascompensationmethodfordistributedmovingsourcelocalizationusingtdoaandfdoawithsensorlocationerrors
AT yongjunzhao abiascompensationmethodfordistributedmovingsourcelocalizationusingtdoaandfdoawithsensorlocationerrors
AT zhixinliu biascompensationmethodfordistributedmovingsourcelocalizationusingtdoaandfdoawithsensorlocationerrors
AT ruiwang biascompensationmethodfordistributedmovingsourcelocalizationusingtdoaandfdoawithsensorlocationerrors
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