Rank Minimization-Based Toeplitz Reconstruction for DoA Estimation Using Coprime Array

In this letter, we address the problem of direction finding using coprime array, which is one of the most preferred sparse array configurations. Motivated by the fact that non-uniform element spacing hinders full utilization of the underlying information in the receive signals, we propose a directio...

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Bibliographic Details
Published in:IEEE communications letters 2021-07, Vol.25 (7), p.2265-2269
Main Authors: Liu, Shengheng, Mao, Zihuan, Zhang, Yimin D., Huang, Yongming
Format: Article
Language:English
Subjects:
Algorithms
Arrays
convex optimization
Covariance matrices
Covariance matrix
Direction finding
Direction of arrival
direction of arrival (DoA)
Direction-of-arrival estimation
Estimation
Minimization
Optimization
parameter estimation
Reconstruction
Sensor arrays
Sensors
sparse array
Spatial resolution
Toeplitz matrix
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Summary:In this letter, we address the problem of direction finding using coprime array, which is one of the most preferred sparse array configurations. Motivated by the fact that non-uniform element spacing hinders full utilization of the underlying information in the receive signals, we propose a direction-of-arrival (DoA) estimation algorithm based on low-rank reconstruction of the Toeplitz covariance matrix. The atomic-norm representation of the measurements from the interpolated virtual array is considered, and the equivalent dual-variable rank minimization problem is formulated and solved using a cyclic optimization approach. The recovered covariance matrix enables the application of conventional subspace-based spectral estimation algorithms, such as MUSIC, to achieve enhanced DoA estimation performance. The estimation performance of the proposed approach, in terms of the degrees-of-freedom and spatial resolution, is examined. We also show the superiority of the proposed method over the competitive approaches in the root-mean-square error sense.
ISSN:1089-7798
1558-2558
DOI:10.1109/LCOMM.2021.3075227