Compressive Sensing Based Single-channel Robust Adaptive Beamforming Algorithm

To solve the degradation of robustness against array steering vector error with finite snapshot in the adaptive beamformer, a novel single-channel robust adaptive beamforming algorithm based on Compressive Sensing (CS) is derived. A single-channel array system is first presented, and then the array signal module based on CS is build, in which the sensing matrix satisfies the Restricted Isometry Property (RIP). The signal and interference matrix can be recovered by fast Robust Smoothed L0 (RSL0) norm algorithm. Finally, the effective beam can be formed with the objective function and constraint setting to be array sensitivity function and interference matrix respectively.Computer simulation shows that the presented algorithm can suppress interferences with any coherence in case of one single-channel of radio frequency and finite snapshots, confirming the validity and superiority of the proposed algorithm.