This invention relates to a robust adaptive
beamforming method based on group sparse reconstruction for
radar and communication systems. The method includes: establishing an array steering vector by combining the geometry of a uniform
linear array, and constructing a sparse
signal model for practical
engineering applications with accompanying amplitude and phase errors; subsequently, establishing a joint optimization model by performing operator transformations on the received
signal model to minimize the Frobenius norm of the interference
signal and the fitting error of the observed data; based on this, introducing auxiliary variables and reconstructing the original objective function into an
unconstrained optimization problem centered on minimizing the augmented Lagrangian function, and using convex constraints to avoid zero solutions, decomposing the
optimization problem into three related sub-problems using the alternating direction
multiplier method framework and solving them sequentially; finally, reconstructing the interference plus
noise covariance matrix using the acquired interference signal and amplitude and
phase error parameters, and using this to estimate the
optimal weight vector to achieve robust adaptive
beamforming. This invention not only accurately estimates array amplitude and phase errors and interference signals, effectively solving the performance
degradation problem caused by the limited number of snapshots in practical applications; but also, the group sparse prior effectively utilizes the
temporal correlation of signals between snapshots, further improving the reconstruction performance of interference signals.