Direction of Arrival Estimation for MIMO Radar via Unitary Nuclear Norm Minimization
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State Key Laboratory of Marine Resource Utilization in South China Sea, Hainan University, Haikou 570228, China
2
College of Information Science and Technology, Hainan University, Haikou 570228, China
3
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore 639798, Singapore
*
Author to whom correspondence should be addressed.
Academic Editors: Zhiguo Shi, Yujie Gu and Rongxing Lu
Sensors 2017, 17(4), 939; https://doi.org/10.3390/s17040939
Received: 25 February 2017
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Revised: 19 April 2017
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Accepted: 20 April 2017
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Published: 24 April 2017
(This article belongs to the Special Issue Recent Advances in Array Signal Processing and Its Applications in IoT Security)
In this paper, we consider the direction of arrival (DOA) estimation issue of noncircular (NC) source in multiple-input multiple-output (MIMO) radar and propose a novel unitary nuclear norm minimization (UNNM) algorithm. In the proposed method, the noncircular properties of signals are used to double the virtual array aperture, and the real-valued data are obtained by utilizing unitary transformation. Then a real-valued block sparse model is established based on a novel over-complete dictionary, and a UNNM algorithm is formulated for recovering the block-sparse matrix. In addition, the real-valued NC-MUSIC spectrum is used to design a weight matrix for reweighting the nuclear norm minimization to achieve the enhanced sparsity of solutions. Finally, the DOA is estimated by searching the non-zero blocks of the recovered matrix. Because of using the noncircular properties of signals to extend the virtual array aperture and an additional real structure to suppress the noise, the proposed method provides better performance compared with the conventional sparse recovery based algorithms. Furthermore, the proposed method can handle the case of underdetermined DOA estimation. Simulation results show the effectiveness and advantages of the proposed method.
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Keywords:
multiple-input multiple-output radar; noncircular signal; direction of arrival estimation; nuclear norm minimization; unitary transformation
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MDPI and ACS Style
Wang, X.; Huang, M.; Wu, X.; Bi, G. Direction of Arrival Estimation for MIMO Radar via Unitary Nuclear Norm Minimization. Sensors 2017, 17, 939. https://doi.org/10.3390/s17040939
AMA Style
Wang X, Huang M, Wu X, Bi G. Direction of Arrival Estimation for MIMO Radar via Unitary Nuclear Norm Minimization. Sensors. 2017; 17(4):939. https://doi.org/10.3390/s17040939
Chicago/Turabian StyleWang, Xianpeng, Mengxing Huang, Xiaoqin Wu, and Guoan Bi. 2017. "Direction of Arrival Estimation for MIMO Radar via Unitary Nuclear Norm Minimization" Sensors 17, no. 4: 939. https://doi.org/10.3390/s17040939
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