Transmit Beamformer Design for Beampattern Synthesis in Phased-Array Radar Systems

This paper presents a phased-array transmit beamformer design for beampattern matching and interference suppression. We propose an optimization framework jointly addressing these two objectives. The resulting non-convex problem is solved via alternating minimization, where each subproblem admits a closed-form solution, one of which recovers the classical maximum-gain and null-steering phased-array beamformers. To design an algorithm ensuring theoretical convergence guarantees, the beamformer design is then reformulated as a non-convex set feasibility problem, closely related to the original formulation. This problem is addressed using a provably convergent projected gradient descent method and further enhanced with acceleration techniques that substantially improve empirical convergence. Extensive simulations validate the excellent performance and computational efficiency of the proposed method.

Source: arXiv:2608.21197v1 - http://arxiv.org/abs/2608.21197v1 PDF: https://arxiv.org/pdf/2608.21197v1 Original Link: http://arxiv.org/abs/2608.21197v1