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Grid-Less DOA Estimation Using Sparse Linear Arrays Based on Wasserstein Distance

delete2019-06-01
delete12
PRE
AI
M
Mianzhi Wang
Z
Zhen Zhang
A
Arye Nehorai *
DOI:10.1109/LSP.2019.2909091delete
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摘要

摘要

En 中文
Sparse linear arrays, such as nested and co-prime arrays, are capable of resolving O(M-2) sources using only O(M) sensors by exploiting their so-called difference coarray model. One popular approach to exploit the difference coarray model is to construct an augmented covariance matrix from the sample covariance matrix. By applying common direction-of-arrival (DOA) estimation algorithms to this augmented covariance matrix, more sources than the number of sensors can be identified. In this letter, inspired by the optimal transport theory, we develop a new approach to construct this augmented covariance matrix. We formulate a structured covariance estimation problem that minimizes the Bures-Wasserstein distance between the sample covariance matrix and the subsampled augmented covariance matrix, which can be either casted to a semi-definite programming problem, or directly solved using gradient-based methods. Our approach contributes to a new grid-less DOA estimation algorithm for sparse linear arrays. Numerical examples show that our approach achieves state-of-art estimation performance.
Keyword:
Direction-of-arrival estimation
sparse linear arrays
co-prime and nested arrays
Wasserstein distance
convex optimization
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

W
washington university (wustl)
学者数:
5.5W
论文数: 4.5W
被引数: 70
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