A Simple and Accurate TDOA-AOA Localization Method Using Two Stations

This letter focuses on locating passively a point source in the three-dimensional (3D) space, using the hybrid measurements of time difference of arrival (TDOA) and angle of arrival (AOA) observed at two stations. We propose a simple closed-form solution method by constructing new relationships betw...

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Bibliographic Details
Published in:IEEE signal processing letters 2016-01, Vol.23 (1), p.144-148
Main Authors: Jihao Yin, Qun Wan, Shiwen Yang, Ho, K. C.
Format: Article
Language:English
Subjects:
Azimuth
Closed-form solution
Closed-form solutions
Cramer-Rao bounds
Cramér-Rao bound (CRB)
Errors
Exact solutions
hybrid measurements
Localization method
Maximum likelihood estimation
passive source localization
Point sources
Pollution sources
Position measurement
Sea measurements
Stations
Three dimensional
Three-dimensional displays
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Summary:This letter focuses on locating passively a point source in the three-dimensional (3D) space, using the hybrid measurements of time difference of arrival (TDOA) and angle of arrival (AOA) observed at two stations. We propose a simple closed-form solution method by constructing new relationships between the hybrid measurements and the unknown source position. The mean-square error (MSE) matrix of the proposed solution is derived under the small error condition. Theoretical analysis discloses that the performance of the proposed solution can attain the Cramér-Rao bound (CRB) for Gaussian noise over the small error region where the bias compared to variance is small to be ignored. The proposed solution can be extended directly to more than two observing stations with CRB performance maintained theoretically. Simulations validate the performance of the proposed method.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2015.2505138