Abstract
The Time Difference of Arrival (TDOA) based localization method cannot give a reliable position estimation while the source is located in the area with poor Geometric Dilution of Precision (GDOP). We, however, can obtain an acceptable Direction of Arrival (DOA) estimator using TDOA measurements. This paper focuses on the DOA estimation problem while the GDOP is bad, then derives two closed-form DOA estimators based on least square and weighted least square, respectively. The proposed methods do not require phase synchronization but only time synchronization, which is easier to realize. And there is no problem of near-field and far-field since we don’t assume the same DOA at each sensor. Simulation validates the feasibility of our methods under the additive white Gaussian noise. The performance is compared with those obtaining DOA from traditional location methods and Cramer-Rao Lower Bound, which shows our advantages.
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