Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array

Beamspace processing has become much attractive in recent radar and wireless communication applications, since the advantages of complexity reduction and of performance improvements in array signal processing. In this paper, we concentrate on the beamspace DOA estimation of linear array via atomic n...

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Main Authors: Jie Pan, Fu Jiang
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/8/2222
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author Jie Pan
Fu Jiang
author_facet Jie Pan
Fu Jiang
author_sort Jie Pan
collection DOAJ
description Beamspace processing has become much attractive in recent radar and wireless communication applications, since the advantages of complexity reduction and of performance improvements in array signal processing. In this paper, we concentrate on the beamspace DOA estimation of linear array via atomic norm minimization (ANM). The existed generalized linear spectrum estimation based ANM approaches suffer from the high computational complexity for large scale array, since their complexity depends upon the number of sensors. To deal with this problem, we develop a low dimensional semidefinite programming (SDP) implementation of beamspace atomic norm minimization (BS-ANM) approach for DFT beamspace based on the super resolution theory on the semi-algebraic set. Then, a computational efficient iteration algorithm is proposed based on alternating direction method of multipliers (ADMM) approach. We develop the covariance based DOA estimation methods via BS-ANM and apply the BS-ANM based DOA estimation method to the channel estimation problem for massive MIMO systems. Simulation results demonstrate that the proposed methods exhibit the superior performance compared to the state-of-the-art counterparts.
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spelling doaj.art-f06bb3bf7ff94450be8466170c79c8902023-11-19T21:38:42ZengMDPI AGSensors1424-82202020-04-01208222210.3390/s20082222Low Complexity Beamspace Super Resolution for DOA Estimation of Linear ArrayJie Pan0Fu Jiang1College of Information Engineering, Yangzhou University, Yangzhou 225009, ChinaCollege of Information Engineering, Yangzhou University, Yangzhou 225009, ChinaBeamspace processing has become much attractive in recent radar and wireless communication applications, since the advantages of complexity reduction and of performance improvements in array signal processing. In this paper, we concentrate on the beamspace DOA estimation of linear array via atomic norm minimization (ANM). The existed generalized linear spectrum estimation based ANM approaches suffer from the high computational complexity for large scale array, since their complexity depends upon the number of sensors. To deal with this problem, we develop a low dimensional semidefinite programming (SDP) implementation of beamspace atomic norm minimization (BS-ANM) approach for DFT beamspace based on the super resolution theory on the semi-algebraic set. Then, a computational efficient iteration algorithm is proposed based on alternating direction method of multipliers (ADMM) approach. We develop the covariance based DOA estimation methods via BS-ANM and apply the BS-ANM based DOA estimation method to the channel estimation problem for massive MIMO systems. Simulation results demonstrate that the proposed methods exhibit the superior performance compared to the state-of-the-art counterparts.https://www.mdpi.com/1424-8220/20/8/2222DOA estimationatomic norm minimizationsemidefinite programmingbeamspace
spellingShingle Jie Pan
Fu Jiang
Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
Sensors
DOA estimation
atomic norm minimization
semidefinite programming
beamspace
title Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
title_full Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
title_fullStr Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
title_full_unstemmed Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
title_short Low Complexity Beamspace Super Resolution for DOA Estimation of Linear Array
title_sort low complexity beamspace super resolution for doa estimation of linear array
topic DOA estimation
atomic norm minimization
semidefinite programming
beamspace
url https://www.mdpi.com/1424-8220/20/8/2222
work_keys_str_mv AT jiepan lowcomplexitybeamspacesuperresolutionfordoaestimationoflineararray
AT fujiang lowcomplexitybeamspacesuperresolutionfordoaestimationoflineararray