An Efficient Fast Beamforming Algorithm for Sidelobe Suppression and Gain Loss Limitation

This work investigates a deterministic transmit beamforming algorithm for sidelobe suppression under a predefined mainlobe gain loss. By enforcing the unit-norm constraint via the Lagrange multiplier method, the problem is formulated as a quadratic eigenvalue problem that yields a numerical solution without iterative optimization. The algorithm also supports asymmetric sidelobe control and null steering, offering flexible beampattern shaping. Simulation results under various gain loss constraints demonstrate that the proposed method achieves up to 28.70% relative reduction in the sidelobe power compared with classical tapering window functions and 16.13% compared with gradient-based algorithms, while achieving comparable peak sidelobe levels.