Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming
The frequency-domain constrained broadband space-time beamformer has been widely used in many fields because of its excellent performance and no need for pre-steering delay. However, the beam response of the frequency-domain constrained space-time broadband beamformer depends heavily on the phase ce...
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IEEE
2023-01-01
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Series: | IEEE Access |
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Online Access: | https://ieeexplore.ieee.org/document/10004954/ |
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author | Yang Wang Haiyun Xu Bin Wang Minglei Sun |
author_facet | Yang Wang Haiyun Xu Bin Wang Minglei Sun |
author_sort | Yang Wang |
collection | DOAJ |
description | The frequency-domain constrained broadband space-time beamformer has been widely used in many fields because of its excellent performance and no need for pre-steering delay. However, the beam response of the frequency-domain constrained space-time broadband beamformer depends heavily on the phase center location of the array. The wrong phase center location of the array will lead to undesirable wide main lobe and high side lobe. To choose the location of the phase center of the array correctly, this paper makes an in-depth theoretical discussion on this dependency based on the uniform linear array. First, the dependence of the quiescent beam response of the frequency-domain constrained space-time broadband beamformer on the phase center location of the array is theoretically derived, and it is proved that there is an optimal phase center location of the array which can make the beamformer obtain the best quiescent beam response. Then, a selection criterion of the optimal array phase center location is proposed, and based on this criterion, the closed-form solution of the optimal array phase center location is theoretically derived when the constraint matrix contains two pre-selected points. Finally, based on the closed-form solution, through correct extrapolation, the suboptimal solution for the optimal array phase center location is obtained when the constraint matrix contains any preselected points. Numerical simulations verify the correctness and effectiveness of the proposed methods. |
first_indexed | 2024-04-11T00:34:45Z |
format | Article |
id | doaj.art-4d3b8c18637e49ec998f16142c6f845c |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-04-11T00:34:45Z |
publishDate | 2023-01-01 |
publisher | IEEE |
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series | IEEE Access |
spelling | doaj.art-4d3b8c18637e49ec998f16142c6f845c2023-01-07T00:00:45ZengIEEEIEEE Access2169-35362023-01-01111295130510.1109/ACCESS.2022.323364510004954Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband BeamformingYang Wang0https://orcid.org/0000-0002-0710-8036Haiyun Xu1https://orcid.org/0000-0001-8630-9049Bin Wang2https://orcid.org/0000-0003-4142-7249Minglei Sun3PLA Strategic Support Force Information Engineering University, Zhengzhou, ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, ChinaThe frequency-domain constrained broadband space-time beamformer has been widely used in many fields because of its excellent performance and no need for pre-steering delay. However, the beam response of the frequency-domain constrained space-time broadband beamformer depends heavily on the phase center location of the array. The wrong phase center location of the array will lead to undesirable wide main lobe and high side lobe. To choose the location of the phase center of the array correctly, this paper makes an in-depth theoretical discussion on this dependency based on the uniform linear array. First, the dependence of the quiescent beam response of the frequency-domain constrained space-time broadband beamformer on the phase center location of the array is theoretically derived, and it is proved that there is an optimal phase center location of the array which can make the beamformer obtain the best quiescent beam response. Then, a selection criterion of the optimal array phase center location is proposed, and based on this criterion, the closed-form solution of the optimal array phase center location is theoretically derived when the constraint matrix contains two pre-selected points. Finally, based on the closed-form solution, through correct extrapolation, the suboptimal solution for the optimal array phase center location is obtained when the constraint matrix contains any preselected points. Numerical simulations verify the correctness and effectiveness of the proposed methods.https://ieeexplore.ieee.org/document/10004954/Quiescent beam responsearray phase centerspace-time broadband beamformerfrequency-domain constraints |
spellingShingle | Yang Wang Haiyun Xu Bin Wang Minglei Sun Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming IEEE Access Quiescent beam response array phase center space-time broadband beamformer frequency-domain constraints |
title | Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming |
title_full | Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming |
title_fullStr | Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming |
title_full_unstemmed | Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming |
title_short | Optimal Array Phase Center Study for Frequency-Domain Constrained Space-Time Broadband Beamforming |
title_sort | optimal array phase center study for frequency domain constrained space time broadband beamforming |
topic | Quiescent beam response array phase center space-time broadband beamformer frequency-domain constraints |
url | https://ieeexplore.ieee.org/document/10004954/ |
work_keys_str_mv | AT yangwang optimalarrayphasecenterstudyforfrequencydomainconstrainedspacetimebroadbandbeamforming AT haiyunxu optimalarrayphasecenterstudyforfrequencydomainconstrainedspacetimebroadbandbeamforming AT binwang optimalarrayphasecenterstudyforfrequencydomainconstrainedspacetimebroadbandbeamforming AT mingleisun optimalarrayphasecenterstudyforfrequencydomainconstrainedspacetimebroadbandbeamforming |