Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array
In estimating the two-dimensional (2D) direction-of-arrival (DOA) using a coprime planar array, the main issues are the high complexity of spectral peak search and the limited degree of freedom imposed by the number of sensors. In this paper, we present an algorithm based on the matrix completion th...
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doaj-8acf3b8ef6ec47cf9649803a74e98e622020-11-25T00:07:27ZengMDPI AGSensors1424-82202018-05-01186174110.3390/s18061741s18061741Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar ArrayHaiyun Xu0Yankui Zhang1Bin Ba2Daming Wang3Xiangzhi Li4National Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, ChinaNational Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, ChinaNational Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, ChinaNational Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, ChinaNational Digital System Engineering and Technological Research R&D Center, Zhengzhou 450001, ChinaIn estimating the two-dimensional (2D) direction-of-arrival (DOA) using a coprime planar array, the main issues are the high complexity of spectral peak search and the limited degree of freedom imposed by the number of sensors. In this paper, we present an algorithm based on the matrix completion theory in coprime planar array that reduces the computational complexity and obtains a high degree of freedom. The algorithm first analyzes the covariance matrix of received signals to estimate the covariance matrix of a virtual uniform rectangular array, which has the same aperture as the coprime planar array. Matrix completion theory is then applied to estimate the missing elements of the virtual array covariance matrix. Finally, a closed-form DOA solution is obtained using the unitary estimation signal parameters via rotational invariance techniques (Unitary-ESPRIT). Simulation results show that the proposed algorithm has a high degree of freedom, enabling the estimation of more signal DOAs than the number of sensors. The proposed algorithm has reduced computational complexity because the spectral peak search is replaced by Unitary-ESPRIT, but attains similarly high levels accuracy to those of the 2D multiple signal classification algorithm.http://www.mdpi.com/1424-8220/18/6/1741direction-of-arrivalcoprime planar arraymatrix completion theorydegree of freedom |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Haiyun Xu Yankui Zhang Bin Ba Daming Wang Xiangzhi Li |
spellingShingle |
Haiyun Xu Yankui Zhang Bin Ba Daming Wang Xiangzhi Li Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array Sensors direction-of-arrival coprime planar array matrix completion theory degree of freedom |
author_facet |
Haiyun Xu Yankui Zhang Bin Ba Daming Wang Xiangzhi Li |
author_sort |
Haiyun Xu |
title |
Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array |
title_short |
Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array |
title_full |
Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array |
title_fullStr |
Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array |
title_full_unstemmed |
Two-Dimensional Direction-of-Arrival Fast Estimation of Multiple Signals with Matrix Completion Theory in Coprime Planar Array |
title_sort |
two-dimensional direction-of-arrival fast estimation of multiple signals with matrix completion theory in coprime planar array |
publisher |
MDPI AG |
series |
Sensors |
issn |
1424-8220 |
publishDate |
2018-05-01 |
description |
In estimating the two-dimensional (2D) direction-of-arrival (DOA) using a coprime planar array, the main issues are the high complexity of spectral peak search and the limited degree of freedom imposed by the number of sensors. In this paper, we present an algorithm based on the matrix completion theory in coprime planar array that reduces the computational complexity and obtains a high degree of freedom. The algorithm first analyzes the covariance matrix of received signals to estimate the covariance matrix of a virtual uniform rectangular array, which has the same aperture as the coprime planar array. Matrix completion theory is then applied to estimate the missing elements of the virtual array covariance matrix. Finally, a closed-form DOA solution is obtained using the unitary estimation signal parameters via rotational invariance techniques (Unitary-ESPRIT). Simulation results show that the proposed algorithm has a high degree of freedom, enabling the estimation of more signal DOAs than the number of sensors. The proposed algorithm has reduced computational complexity because the spectral peak search is replaced by Unitary-ESPRIT, but attains similarly high levels accuracy to those of the 2D multiple signal classification algorithm. |
topic |
direction-of-arrival coprime planar array matrix completion theory degree of freedom |
url |
http://www.mdpi.com/1424-8220/18/6/1741 |
work_keys_str_mv |
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