Total Least-Squares Algorithm for Time of Arrival Based Wireless Sensor Networks Location

Aihua WANG; Kai YANG; Jianping AN; Xiangyuan BU

doi:10.1587/transfun.E94.A.1851

Total Least-Squares Algorithm for Time of Arrival Based Wireless Sensor Networks Location

Aihua WANG, Kai YANG, Jianping AN, Xiangyuan BU

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Location of a source is of considerable interest in wireless sensor networks, and it can be estimated from passive measurements of the arrival times. A novel algorithm for source location by utilizing the time of arrival (TOA) measurements of a signal received at spatially separated sensors is proposed. The algorithm is based on total least-squares (TLS) method, which is a generalized least-squares method to solve an overdetermined set of equations whose coefficients are noisy, and gives an explicit solution. Comparisons of performance with standard least-squares method are made, and Monte Carlo simulations are performed. Simulation results indicate that the proposed TLS algorithm gives better results than LS algorithm.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.9 pp.1851-1855

Publication Date: 2011/09/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.1851

Type of Manuscript: LETTER

Category: Digital Signal Processing

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Aihua WANG, Kai YANG, Jianping AN, Xiangyuan BU, "Total Least-Squares Algorithm for Time of Arrival Based Wireless Sensor Networks Location" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 9, pp. 1851-1855, September 2011, doi: 10.1587/transfun.E94.A.1851.
Abstract: Location of a source is of considerable interest in wireless sensor networks, and it can be estimated from passive measurements of the arrival times. A novel algorithm for source location by utilizing the time of arrival (TOA) measurements of a signal received at spatially separated sensors is proposed. The algorithm is based on total least-squares (TLS) method, which is a generalized least-squares method to solve an overdetermined set of equations whose coefficients are noisy, and gives an explicit solution. Comparisons of performance with standard least-squares method are made, and Monte Carlo simulations are performed. Simulation results indicate that the proposed TLS algorithm gives better results than LS algorithm.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1851/_p

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@ARTICLE{e94-a_9_1851,
author={Aihua WANG, Kai YANG, Jianping AN, Xiangyuan BU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Total Least-Squares Algorithm for Time of Arrival Based Wireless Sensor Networks Location},
year={2011},
volume={E94-A},
number={9},
pages={1851-1855},
abstract={Location of a source is of considerable interest in wireless sensor networks, and it can be estimated from passive measurements of the arrival times. A novel algorithm for source location by utilizing the time of arrival (TOA) measurements of a signal received at spatially separated sensors is proposed. The algorithm is based on total least-squares (TLS) method, which is a generalized least-squares method to solve an overdetermined set of equations whose coefficients are noisy, and gives an explicit solution. Comparisons of performance with standard least-squares method are made, and Monte Carlo simulations are performed. Simulation results indicate that the proposed TLS algorithm gives better results than LS algorithm.},
keywords={},
doi={10.1587/transfun.E94.A.1851},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Total Least-Squares Algorithm for Time of Arrival Based Wireless Sensor Networks Location
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1851
EP - 1855
AU - Aihua WANG
AU - Kai YANG
AU - Jianping AN
AU - Xiangyuan BU
PY - 2011
DO - 10.1587/transfun.E94.A.1851
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2011
AB - Location of a source is of considerable interest in wireless sensor networks, and it can be estimated from passive measurements of the arrival times. A novel algorithm for source location by utilizing the time of arrival (TOA) measurements of a signal received at spatially separated sensors is proposed. The algorithm is based on total least-squares (TLS) method, which is a generalized least-squares method to solve an overdetermined set of equations whose coefficients are noisy, and gives an explicit solution. Comparisons of performance with standard least-squares method are made, and Monte Carlo simulations are performed. Simulation results indicate that the proposed TLS algorithm gives better results than LS algorithm.
ER -