Decoupled narrowband robust adaptive beamforming based on the ADMM in a noisy channel
Yuyu Su, Tong Wang, Xuefang Lin · IET Radar Sonar & Navigation · 2020
The performance of adaptive beamforming suffers from the imprecise knowledge of the array or signal of interest. Many efforts have been made to develop various beamformers and increase their robustness to these unknown errors. This study proposes a new robust adaptive beamformer based on the alternating direction method of multipliers (ADMM). The proposed method is introduced first as an optimisation problem to estimate the steering vector (SV). Owing to its non‐convex property, it is converted to a real‐valued condition problem by introducing auxiliary variables. Then, the optimisation problem is reformulated as the augmented Lagrangian function. Finally, the estimated SV can be solved by the ADMM. Numerical results prove the effectiveness of the proposed method.