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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Autores principales: Wen‐Gen Tang, Hong Jiang, Qi Zhang
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Lenguaje:EN
Publicado: Wiley 2021
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Acceso en línea:https://doaj.org/article/a10156ad7b444c5590efca0a1dcf09d5
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic array signal processing
compressed sensing
direction‐of‐arrival estimation
Telecommunication
TK5101-6720
spellingShingle 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
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