Direction of Arrival Estimation with Coprime Array Based on Toeplitz Covariance Matrix Reconstruction

Bing SUN; Huailin RUAN; Chenxi WU; Hua ZHONG

doi:10.11999/JEIT181041

Volume 41 Issue 8

Aug. 2019

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Bing SUN, Huailin RUAN, Chenxi WU, Hua ZHONG. Direction of Arrival Estimation with Coprime Array Based on Toeplitz Covariance Matrix Reconstruction[J]. Journal of Electronics & Information Technology, 2019, 41(8): 1924-1930. doi: 10.11999/JEIT181041

Citation:

Bing SUN, Huailin RUAN, Chenxi WU, Hua ZHONG. Direction of Arrival Estimation with Coprime Array Based on Toeplitz Covariance Matrix Reconstruction[J]. Journal of Electronics & Information Technology, 2019, 41(8): 1924-1930. doi: 10.11999/JEIT181041

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Direction of Arrival Estimation with Coprime Array Based on Toeplitz Covariance Matrix Reconstruction

doi: 10.11999/JEIT181041

College of Electronic Engineering, National University of Defense Technology, Hefei 230037, China

Funds: The National Natural Science Foundation of China (61171170), The Anhui Province Natural Science Foundation (1408085QF115)

Received Date: 2018-11-14
Rev Recd Date: 2019-03-14

Available Online: 2019-04-13

Publish Date: 2019-08-01

Abstract

Abstract

In order to improve the utilization of non-contiguous virtual array elements in the underdetermined DOA estimation of the coprime array, a DOA estimation method based on Toeplitz covariance matrix reconstruction is proposed. First, the virtual array element distribution characteristics of the matrix are analyzed from the perspective of the difference coarray. Additionally, according to the correspondence between the difference coarray and the wave path difference, the covariance matrix is extended to a Toeplitz array covariance matrix, of which some elements are zero. Then, the Toeplitz matrix is recovered to the full covariance matrix according to the low rank matrix completion theory. Finally, the root-MUSIC method is employed for the DOA estimation. Theoretical analysis and simulation results show that this method can increase the number of the resolvable signals by increasing the number of virtual array elements, eliminate the effect of the off-grid effect without discretization of the angle domain, and avoid regularization parameter selection. Therefore, the estimation accuracy and resolution are improved.
- Direction Of Arrival (DOA),
- Coprime array,
- Difference coarray,
- Matrix reconstruction

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References(21)

References

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