期刊
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
卷 68, 期 4, 页码 1522-1526出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2020.3025629
关键词
Covariance matrices; Sensor arrays; Interpolation; Direction-of-arrival estimation; Circuits and systems; Estimation; Minimization; Coarray interpolation; direction of arrival estimation; non uniform linear array; truncated nuclear norm
资金
- Department of Science and Technology, Government of India [CRG/2018/002919]
- TEOCO Chair of Indian Institute of Technology Gandhinagar
This paper presents a coarray interpolation method based on truncated nuclear norm minimization, which is more efficient compared to traditional methods and achieves better performance in direction of arrival estimation.
Non-uniform linear arrays have the ability to provide higher degrees of freedom (DOF) than conventional uniform linear arrays (ULAs) by making use of their virtual coarray. However, some non-uniform arrays such as coprime arrays have holes in their virtual array. In order to utilize the full DOF of such arrays, coarray interpolation is performed. Current interpolation techniques are mostly based on nuclear norm minimization of the coarray covariance matrix. However, these interpolation techniques are computationally inefficient, especially for larger matrices. In this brief, we propose a coarray interpolation method based on truncated nuclear norm minimization. This method approximates the rank of the matrix better and is computationally much more efficient as it uses a weighted iterative approach to interpolate a matrix. In numerical simulation, we perform direction of arrival (DOA) estimation using the proposed method and demonstrate its effectiveness both in terms of computation time and accuracy.
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