Robust adaptive wideband constant beamwidth digital beamforming based on spatial response variation constraint.

Abstract

In order to solve the problem that the main flap beam of the conventional adaptive beam forming algorithm cannot correctly point to the desired signal direction of the target under the array error, a robust adaptive broadband constant beamwidth digital beamforming method based on spatial response variation constraint is proposed. Firstly, the beamformer with constant beamwidth based on spatial response variation constraints have been designed. Secondly, for the array error, the relationship between the error vector norm between the real steering vector and the assumed steering vector and the array error matrix is derived, and an inequality optimization model is established. Finally, the proposed method is a non-convex problem, which is transformed into a convex programming model through matrix decomposition and the idea of changing elements, and is solved by the convex optimization toolbox. The simulation results show that the proposed method is more robust than some other methods.