Journal
IEEE COMMUNICATIONS LETTERS
Volume 25, Issue 7, Pages 2265-2269Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCOMM.2021.3075227
Keywords
Estimation; Sensor arrays; Covariance matrices; Direction-of-arrival estimation; Sensors; Minimization; Optimization; Toeplitz matrix; direction of arrival (DoA); sparse array; parameter estimation; convex optimization
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Funding
- National Natural Science Foundation of China [62001103, U1936201]
- Basic Research Program of Jiangsu Province [BK20190338]
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The proposed method for direction finding using coprime array involves low-rank reconstruction of the covariance matrix, allowing for enhanced DoA estimation through the application of conventional spectral estimation algorithms. The approach outperforms competitive methods in terms of root-mean-square error.
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.
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