Phase-Only Transmit Beampattern Synthesis With Maximum Mainlobe Gain via Manifold ADMM

Phase-only beampattern synthesis is widely used in radar, communication and other fields, which manipulates only the phases of the array antenna weights to achieve the expected beampattern. This letter proposes a manifold alternating direction method of multipliers-based method to yield phase-only beampattern with mainlobe gain maximization and sidelobe level control, in which the subproblem with phase-only constraint is solved by the Riemannian gradient descent algorithm. Numerical results illustrate that the proposed method can obtain desired beampattern with high mainlobe gain and suppressed sidelobe level. Compared with other representative methods, the proposed method has lower computational time when the antenna number increases.