Reconstruction of Targets Based on Adaptive Complex ℓ₁Reweighted Minimization via Homotopy

The stepped frequency (SF) signal plays an important role in the high-resolution radar system. In a complex radar environment, some echo pulses may be lost or be interfered with. Directly apply a conventional reconstructive algorithm to obtain high-resolution range profile (HRRP) will lead to high sidelobes in this case. In this paper, the adaptive complex ℓ1 reweighted minimization via homotopy (ACRW-H) is applied to deal with the problem above. The algorithm adaptively selects accurate regularization parameters (RPs) while updating the estimation to reconstruct HRRP when echo pulses are incomplete. Both simulation and real data experiments are presented to verify the effectiveness of the proposed method. It is shown that this algorithm gives better accuracy than some existing algorithms like OMP and ℓ1 minimization. The robustness to noise of the proposed method is also investigated.