Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling
Abstract Mutual coupling (MC) between array elements can lead to severe accuracy degradation in direction‐of‐arrival (DOA) estimation. In this study, an off‐grid compressed sensing (CS) approach for DOA estimation in the presence of unknown MC is proposed using block Newtonised orthogonal matching p...
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2021
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oai:doaj.org-article:a10156ad7b444c5590efca0a1dcf09d52021-11-09T10:16:47ZBlock Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling1751-96831751-967510.1049/sil2.12068https://doaj.org/article/a10156ad7b444c5590efca0a1dcf09d52021-12-01T00:00:00Zhttps://doi.org/10.1049/sil2.12068https://doaj.org/toc/1751-9675https://doaj.org/toc/1751-9683Abstract Mutual coupling (MC) between array elements can lead to severe accuracy degradation in direction‐of‐arrival (DOA) estimation. In this study, an off‐grid compressed sensing (CS) approach for DOA estimation in the presence of unknown MC is proposed using block Newtonised orthogonal matching pursuit (NOMP). First, the model of DOA estimation with MC is block sparsely represented to fully utilise the whole array aperture. Then, a block NOMP algorithm with multiple measurement vectors (MMV) is developed to achieve the estimates of DOA, in which the Newton refinement procedure is presented by deriving the first‐ and second‐order derivatives of the block steering matrix with respect to the angle grid. Compared with the subspace‐based and sparse recovery‐based methods with MC, the proposed block NOMP approach has robustness in a small number of snapshots and owns no grid‐mismatch effect. Meanwhile, in comparison to several existing off‐grid DOA estimation methods with MC, it can achieve higher estimation accuracy and similarly low computational complexity. The superior performance of the proposed approach is shown via numerical simulations.Wen‐Gen TangHong JiangQi ZhangWileyarticlearray signal processingcompressed sensingdirection‐of‐arrival estimationTelecommunicationTK5101-6720ENIET Signal Processing, Vol 15, Iss 9, Pp 666-673 (2021) |
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array signal processing compressed sensing direction‐of‐arrival estimation Telecommunication TK5101-6720 |
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array signal processing compressed sensing direction‐of‐arrival estimation Telecommunication TK5101-6720 Wen‐Gen Tang Hong Jiang Qi Zhang Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
description |
Abstract Mutual coupling (MC) between array elements can lead to severe accuracy degradation in direction‐of‐arrival (DOA) estimation. In this study, an off‐grid compressed sensing (CS) approach for DOA estimation in the presence of unknown MC is proposed using block Newtonised orthogonal matching pursuit (NOMP). First, the model of DOA estimation with MC is block sparsely represented to fully utilise the whole array aperture. Then, a block NOMP algorithm with multiple measurement vectors (MMV) is developed to achieve the estimates of DOA, in which the Newton refinement procedure is presented by deriving the first‐ and second‐order derivatives of the block steering matrix with respect to the angle grid. Compared with the subspace‐based and sparse recovery‐based methods with MC, the proposed block NOMP approach has robustness in a small number of snapshots and owns no grid‐mismatch effect. Meanwhile, in comparison to several existing off‐grid DOA estimation methods with MC, it can achieve higher estimation accuracy and similarly low computational complexity. The superior performance of the proposed approach is shown via numerical simulations. |
format |
article |
author |
Wen‐Gen Tang Hong Jiang Qi Zhang |
author_facet |
Wen‐Gen Tang Hong Jiang Qi Zhang |
author_sort |
Wen‐Gen Tang |
title |
Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
title_short |
Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
title_full |
Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
title_fullStr |
Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
title_full_unstemmed |
Block Newtonised orthogonal matching pursuit for off‐grid DOA estimation in the presence of unknown mutual coupling |
title_sort |
block newtonised orthogonal matching pursuit for off‐grid doa estimation in the presence of unknown mutual coupling |
publisher |
Wiley |
publishDate |
2021 |
url |
https://doaj.org/article/a10156ad7b444c5590efca0a1dcf09d5 |
work_keys_str_mv |
AT wengentang blocknewtonisedorthogonalmatchingpursuitforoffgriddoaestimationinthepresenceofunknownmutualcoupling AT hongjiang blocknewtonisedorthogonalmatchingpursuitforoffgriddoaestimationinthepresenceofunknownmutualcoupling AT qizhang blocknewtonisedorthogonalmatchingpursuitforoffgriddoaestimationinthepresenceofunknownmutualcoupling |
_version_ |
1718441133811433472 |