Constant modulus waveform design for colocated MIMO radar: A convex relaxation approach

Abstract This paper considers the waveform design for colocated MIMO radar to improve target detectability embedded in signal-dependent interferences, and maximize the SINR (signal-to-interference-plus-noise ratio). Due to constant modulus constraint, the problem is indeed non-convex and NP-hard. To address the challenge of this intractable problem, we propose a novel optimization framework for solving the problem based on convex relaxation. In the proposed algorithm, the original optimization problem is reformulated heuristically by introducing an auxiliary variable. Then it can be relaxed to a convex optimization problem and efficiently solved by alternative optimizing. Numerical results show that the proposed algorithm improves the beampattern performance significantly by generating much deeper notches at the interference directions, then obtains higher SINR over the state-of-the-art method.