Journal
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS
Volume 57, Issue 5, Pages 3506-3519Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAES.2021.3090903
Keywords
Array signal processing; Uncertainty; Optimization; Covariance matrices; Matrix decomposition; Direction-of-arrival estimation; Signal processing algorithms; Adaptive beamforming; alternating direction method of multipliers (ADMM); Lagrange multiplier; sidelobe-level control; uncertainty set
Funding
- National Natural Science Foundation of China [61725106, 61901467]
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This study investigates adaptive beamforming with sidelobe-level control in the presence of signal steering vector uncertainty. The proposed iterative optimization algorithms using the ADMM framework successfully handle uncertainty set and sidelobe constraints with low computational complexity. Theoretical analyses and simulations confirm the performance advantages of the algorithms in low sample support, steering vector mismatch, and real-time snapshot update scenarios.
Adaptive beamforming with sidelobe-level control in the presence of signal steering vector uncertainty is investigated. Unlike the traditional multiconstrained optimization strategy using the interior point method, iterative optimization algorithms with the aid of the alternating direction method of multipliers (ADMM) framework are proposed. The uncertainty set constraint and the sidelobe constraint are formulated into two optimization subproblems and handled with the Lagrange multiplier method. By introducing matrix decomposition techniques, subproblem 1 is transformed into a polynomial root-finding problem that can be solved with low computational complexity. For subproblem 2, a closed-form solution can be obtained directly. Furthermore, for the continuously receiving snapshots case, iterative gradient minimization is introduced and embedded into the ADMM iterations to give an approximate solution free from matrix decompositions. Theoretical analyses and simulations verify the low complexities and performance advantages of the proposed algorithms in the low sample support, steering vector mismatch, and real-time snapshot update scenarios.
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