Direction of arrival estimation based on modified fast off‐grid L1‐SVD

Abstract This paper proposes a modified fast off‐grid L1‐SVD (M‐FOGL1SVD) method for direction of arrival (DOA) estimation. Unlike FOGL1SVD, after obtaining the positions of the nonzero rows of the signal sources, the off‐grid overcomplete basis matrix is used to update the signal sources, thus impr...

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Main Authors: Xiangjun Xu, Mingwei Shen, Xiaohuan Wu, Di Wu, Daiyin Zhu
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/ell2.12341
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author Xiangjun Xu
Mingwei Shen
Xiaohuan Wu
Di Wu
Daiyin Zhu
author_facet Xiangjun Xu
Mingwei Shen
Xiaohuan Wu
Di Wu
Daiyin Zhu
author_sort Xiangjun Xu
collection DOAJ
description Abstract This paper proposes a modified fast off‐grid L1‐SVD (M‐FOGL1SVD) method for direction of arrival (DOA) estimation. Unlike FOGL1SVD, after obtaining the positions of the nonzero rows of the signal sources, the off‐grid overcomplete basis matrix is used to update the signal sources, thus improving the estimation accuracy of it. In addition, to reduce the approximate error of the first‐order off‐grid model, a second‐order off‐grid model is introduced through a further Taylor expansion of the steering vector. Finally, the formula for solving the off‐grid gap under the novel model is derived. Extensive simulation results indicate that the proposed algorithm has better performance than FOGL1SVD in terms of DOA estimation precision.
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spelling doaj.art-e0a955df401247acba4b6e951d7b29e22022-12-22T04:04:38ZengWileyElectronics Letters0013-51941350-911X2022-01-01581323410.1049/ell2.12341Direction of arrival estimation based on modified fast off‐grid L1‐SVDXiangjun Xu0Mingwei Shen1Xiaohuan Wu2Di Wu3Daiyin Zhu4College of Computer and Information Engineering Hohai University Nanjing ChinaCollege of Computer and Information Engineering Hohai University Nanjing ChinaCollege of Telecommunications and Information Engineering Nanjing University of Posts and Telecommunications Nanjing ChinaKey Laboratory of Radar Imaging and Microwave Photonics and Ministry of Education Nanjing University of Aeronautics and Astronautics Nanjing ChinaKey Laboratory of Radar Imaging and Microwave Photonics and Ministry of Education Nanjing University of Aeronautics and Astronautics Nanjing ChinaAbstract This paper proposes a modified fast off‐grid L1‐SVD (M‐FOGL1SVD) method for direction of arrival (DOA) estimation. Unlike FOGL1SVD, after obtaining the positions of the nonzero rows of the signal sources, the off‐grid overcomplete basis matrix is used to update the signal sources, thus improving the estimation accuracy of it. In addition, to reduce the approximate error of the first‐order off‐grid model, a second‐order off‐grid model is introduced through a further Taylor expansion of the steering vector. Finally, the formula for solving the off‐grid gap under the novel model is derived. Extensive simulation results indicate that the proposed algorithm has better performance than FOGL1SVD in terms of DOA estimation precision.https://doi.org/10.1049/ell2.12341AlgebraSignal processing and detectionSignal processing theoryAlgebra
spellingShingle Xiangjun Xu
Mingwei Shen
Xiaohuan Wu
Di Wu
Daiyin Zhu
Direction of arrival estimation based on modified fast off‐grid L1‐SVD
Electronics Letters
Algebra
Signal processing and detection
Signal processing theory
Algebra
title Direction of arrival estimation based on modified fast off‐grid L1‐SVD
title_full Direction of arrival estimation based on modified fast off‐grid L1‐SVD
title_fullStr Direction of arrival estimation based on modified fast off‐grid L1‐SVD
title_full_unstemmed Direction of arrival estimation based on modified fast off‐grid L1‐SVD
title_short Direction of arrival estimation based on modified fast off‐grid L1‐SVD
title_sort direction of arrival estimation based on modified fast off grid l1 svd
topic Algebra
Signal processing and detection
Signal processing theory
Algebra
url https://doi.org/10.1049/ell2.12341
work_keys_str_mv AT xiangjunxu directionofarrivalestimationbasedonmodifiedfastoffgridl1svd
AT mingweishen directionofarrivalestimationbasedonmodifiedfastoffgridl1svd
AT xiaohuanwu directionofarrivalestimationbasedonmodifiedfastoffgridl1svd
AT diwu directionofarrivalestimationbasedonmodifiedfastoffgridl1svd
AT daiyinzhu directionofarrivalestimationbasedonmodifiedfastoffgridl1svd