Sparse Method for Direction of Arrival Estimation Using Denoised Fourth-Order Cumulants Vector
School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710129, China
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Sensors 2018, 18(6), 1815; https://doi.org/10.3390/s18061815
Received: 11 April 2018
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Revised: 21 May 2018
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Accepted: 30 May 2018
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Published: 4 June 2018
(This article belongs to the Section Physical Sensors)
Fourth-order cumulants (FOCs) vector-based direction of arrival (DOA) estimation methods of non-Gaussian sources may suffer from poor performance for limited snapshots or difficulty in setting parameters. In this paper, a novel FOCs vector-based sparse DOA estimation method is proposed. Firstly, by utilizing the concept of a fourth-order difference co-array (FODCA), an advanced FOCs vector denoising or dimension reduction procedure is presented for arbitrary array geometries. Then, a novel single measurement vector (SMV) model is established by the denoised FOCs vector, and efficiently solved by an off-grid sparse Bayesian inference (OGSBI) method. The estimation errors of FOCs are integrated in the SMV model, and are approximately estimated in a simple way. A necessary condition regarding the number of identifiable sources of our method is presented that, in order to uniquely identify all sources, the number of sources K must fulfill . The proposed method suits any geometry, does not need prior knowledge of the number of sources, is insensitive to associated parameters, and has maximum identifiability , where M is the number of sensors in the array. Numerical simulations illustrate the superior performance of the proposed method.
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Keywords:
direction of arrival estimation; fourth-order cumulants; non-Gaussian sources; fourth-order difference co-array; sparse Bayesian learning
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MDPI and ACS Style
Fan, Y.; Wang, J.; Du, R.; Lv, G. Sparse Method for Direction of Arrival Estimation Using Denoised Fourth-Order Cumulants Vector. Sensors 2018, 18, 1815. https://doi.org/10.3390/s18061815
AMA Style
Fan Y, Wang J, Du R, Lv G. Sparse Method for Direction of Arrival Estimation Using Denoised Fourth-Order Cumulants Vector. Sensors. 2018; 18(6):1815. https://doi.org/10.3390/s18061815
Chicago/Turabian StyleFan, Yangyu, Jianshu Wang, Rui Du, and Guoyun Lv. 2018. "Sparse Method for Direction of Arrival Estimation Using Denoised Fourth-Order Cumulants Vector" Sensors 18, no. 6: 1815. https://doi.org/10.3390/s18061815
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