Constant Modulus Waveform Design for MIMO Radar via Manifold Optimization

Abstract This paper concentrates on MIMO (multiple-input multiple-output) radar waveform design to improve SINR (signal-to-interference-plus-noise ratio). Due to the constant modulus constraint, the problem is essentially an NP-hard and high dimensional problem. Many conventional methods generally transform the original problem to a convex optimization problem through relaxation. To address it more efficiently, we propose a new approach based on a Riemannian manifold, which is the product of complex circles and a Euclidean space. The original constraint problem in our proposed method is considered as unconstrained over a restricted search space. Then, the reformulated problem is solved by Riemannian conjugate gradient (RCG) algorithm efficiently. Numerical results reveal that the proposed algorithm can achieve higher SINR via different input SNR while consumes a lower computation time.