Beampattern Synthesis for Frequency Diverse Array via Reweighted ℓ₁ Iterative Phase Compensation

This paper addresses the issue of beampattern synthesis with flexible magnitude response and low sidelobe in a frequency diverse array radar. It is formulated as an optimization problem in terms of ℓ₁-norm minimization, which encourages the sparsity of array pattern. An ℓ₁ iterative phase compensation (IPC) technique is employed to transform the nonconvex constraint to phase compensation form. Then, to further reduce the sidelobe level, a reweighted ℓ₁-IPC algorithm is devised, in which a sparsity-enhanced scheme is utilized to convert the ℓ₁-norm to a new cost function that more closely resembles ℓ₁-norm. Numerical results are presented to demonstrate the effectiveness of the proposed approach in different scenarios.