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Sensors 2018, 18(5), 1479; https://doi.org/10.3390/s18051479

Direct Position Determination of Multiple Non-Circular Sources with a Moving Coprime Array

National Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, China
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Received: 19 March 2018 / Revised: 27 April 2018 / Accepted: 4 May 2018 / Published: 8 May 2018
(This article belongs to the Special Issue Recent Advances in Array Processing for Wireless Applications)
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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. View Full-Text
Keywords: coprime array; direct position determination (DPD); non-circular sources; Cramer–Rao lower bound (CRLB) coprime array; direct position determination (DPD); non-circular sources; Cramer–Rao lower bound (CRLB)
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Zhang, Y.; Ba, B.; Wang, D.; Geng, W.; Xu, H. Direct Position Determination of Multiple Non-Circular Sources with a Moving Coprime Array. Sensors 2018, 18, 1479.

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