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Sensors 2016, 16(5), 693; doi:10.3390/s16050693

The Real-Valued Sparse Direction of Arrival (DOA) Estimation Based on the Khatri-Rao Product

College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
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Author to whom correspondence should be addressed.
Academic Editor: Vittorio M. N. Passaro
Received: 22 December 2015 / Revised: 2 May 2016 / Accepted: 9 May 2016 / Published: 14 May 2016
(This article belongs to the Section Physical Sensors)
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Abstract

There is a problem that complex operation which leads to a heavy calculation burden is required when the direction of arrival (DOA) of a sparse signal is estimated by using the array covariance matrix. The solution of the multiple measurement vectors (MMV) model is difficult. In this paper, a real-valued sparse DOA estimation algorithm based on the Khatri-Rao (KR) product called the L1-RVSKR is proposed. The proposed algorithm is based on the sparse representation of the array covariance matrix. The array covariance matrix is transformed to a real-valued matrix via a unitary transformation so that a real-valued sparse model is achieved. The real-valued sparse model is vectorized for transforming to a single measurement vector (SMV) model, and a new virtual overcomplete dictionary is constructed according to the KR product’s property. Finally, the sparse DOA estimation is solved by utilizing the idea of a sparse representation of array covariance vectors (SRACV). The simulation results demonstrate the superior performance and the low computational complexity of the proposed algorithm. View Full-Text
Keywords: sparse direction of arrival (DOA) estimation; multiple measurement vectors (MMV); Khatri-Rao (KR) product; unitary transformation; array covariance vectors sparse direction of arrival (DOA) estimation; multiple measurement vectors (MMV); Khatri-Rao (KR) product; unitary transformation; array covariance vectors
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Chen, T.; Wu, H.; Zhao, Z. The Real-Valued Sparse Direction of Arrival (DOA) Estimation Based on the Khatri-Rao Product. Sensors 2016, 16, 693.

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