Title
Direct Position Determination of Multiple Non-Circular Sources with a Moving Coprime Array.
Abstract
Direct position determination (DPD) is currently a hot topic in wireless localization research as it is more accurate than traditional two-step positioning. However, current DPD algorithms are all based on uniform arrays, which have an insufficient degree of freedom and limited estimation accuracy. To improve the DPD accuracy, this paper introduces a coprime array to the position model of multiple non-circular sources with a moving array. To maximize the advantages of this coprime array, we reconstruct the covariance matrix by vectorization, apply a spatial smoothing technique, and converge the subspace data from each measuring position to establish the cost function. Finally, we obtain the position coordinates of the multiple non-circular sources. The complexity of the proposed method is computed and compared with that of other methods, and the Cramer-Rao lower bound of DPD for multiple sources with a moving coprime array, is derived. Theoretical analysis and simulation results show that the proposed algorithm is not only applicable to circular sources, but can also improve the positioning accuracy of non-circular sources. Compared with existing two-step positioning algorithms and DPD algorithms based on uniform linear arrays, the proposed technique offers a significant improvement in positioning accuracy with a slight increase in complexity.
Year
DOI
Venue
2018
10.3390/s18051479
SENSORS
Keywords
Field
DocType
coprime array,direct position determination (DPD),non-circular sources,Cramer-Rao lower bound (CRLB)
Cramér–Rao bound,Subspace topology,Algorithm,Mean squared error,Robustness (computer science),Linear subspace,Sensor fusion,Electronic engineering,Engineering,Coprime integers,Covariance
Journal
Volume
Issue
Citations 
18
5.0
0
PageRank 
References 
Authors
0.34
27
5
Name
Order
Citations
PageRank
Yankui Zhang104.06
Bin Ba201.01
Daming Wang348.88
Wei Geng400.34
Haiyun Xu513015.77