Mimo Radar Transmit Beampattern Matching Via Manifold Optimization

The Multiple-Input Multiple-Output (MIMO) radar transmit beampattern matching under the Constant Modulus Constraint (CMC) is a key technology. Most existing approaches address this problem by relaxation, which result in performance degradation. Different from these methods, we notice that the CMC is the product of complex circles. Based on this characterisic, a Riemannian Complex Circle Manifold (RCCM) method without relaxation is developed. More precisely, the aforementioned problem is firstly reformulated as an unconstraint quartic function over the RCCM. After that, an efficient Riemannian conjugate gradient algorithm is developed to solve it. Compared with the existing methods, the proposed method obtains better performance with lower computational cost.