Li, Q. orcid.org/0000-0003-2503-690X, Huang, L. orcid.org/0000-0003-4534-7625, Liu, W. orcid.org/0000-0003-2968-2888 et al. (2 more authors) (2023) Acquisition of visible satellites based on antenna arrays via joint ℓ1,1-norms minimization. IEEE Transactions on Vehicular Technology, 72 (6). pp. 8105-8110. ISSN 0018-9545
Abstract
This work tackles the acquisition of visible satellites based on an antenna array in the presence of impulsive noise. First, the joint angle and number estimation of visible satellites is formulated as a joint ℓ1,1 -norms minimization problem by exploiting the spatial sparsity of visible satellites. Then, in order to obtain a closed-form solution, a generalized conjugate function for complex-valued matrix variable is introduced and the joint ℓ1,1 -norms minimization is transformed into a Lagrangian dual function maximization. Furthermore, the dual ascent framework and subgradient technique are employed to obtain a suitable iterative solution, where the convergence rate and steady-state value can be flexibly adjusted. Numerical results are presented to demonstrate the effectiveness of the proposed approach.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Satellites; Optimization; Satellite antennas; Minimization; Iterative methods; Estimation; Closed-form solutions; Antenna arrays; acquisition of visible satellites; Lagrangian multiplier; dual ascent; impulsive noise; ℓ1,1-norm |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Electronic and Electrical Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 07 Feb 2023 10:40 |
Last Modified: | 27 Sep 2024 10:33 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Refereed: | Yes |
Identification Number: | 10.1109/tvt.2023.3239910 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:196066 |