Multi-constraint Spectral Co-design for Colocated MIMO Radar and MIMO Communications

Single waveform design for automotive joint radar-communications (JRC) is being increasingly considered recently, as it addresses the problem of spectrum sharing between the two systems. The paper addresses the challenge of designing a waveform in MIMO-radar MIMO-communications (MRMC) set-up in a broadcast environment to ensure certain performance of the two systems is guaranteed. It develops an optimization problem to enhance mutual information metrics for radar and communications considering the worst case Doppler/angle at a range bin. The intractable optimization problem is decomposed and relaxed into two convex sub-problems, which are subsequently solved through an iterative method. The benefits of the proposed waveform are illustrated through numerical simulations.