Waveform Design for MIMO Dual-Functional Radar-Communication System Using MUI Energy Minimization With PAPR and CRB Constraints

In this letter, we design a multiple-input multiple-output (MIMO) dual-functional radar-communication (DFRC) waveform which can simultaneously detect multiple MIMO radar targets and serve downlink users. A nonconvex optimization problem is established to minimize the downlink multi-user interference (MUI) energy under the constraints of total power, peak average power ratio (PAPR) and Cramer-Rao bound (CRB) of direction-of-arrival (DOA) estimation. We propose a multivariable-iteration-based alternating direction method of multipliers (MI-ADMM) algorithm to solve such a nonconvex problem by transforming it into several convex subproblems. Thus, we only need to solve each convex subproblem alternately during each iteration. Additionally, we analyze the complexity of the proposed algorithm. Numerical simulations show the impacts of PAPR and CRB constraints on the performance of the DFRC system. The results demonstrate that the DFRC waveform can achieve a great trade-off between the performance of MIMO radar and communication.