Joint Spatial-Temporal Transmission With OFDM Waveforms and Receive Adaptive Filter Design for MIMO Radar-Communications

This paper focuses on the joint transmit and receive design for MIMO radar-communications with orthogonal frequency division multiplexing (OFDM) waveforms. The main objective of this joint design is to seek a maximum signal-to-interference-plus-noise ratio (SINR) at receiver from the radar side, and meanwhile, to guarantee accurate information embedding (IE) performance via OFDM transmission with controlled peak-to-mean envelope power ratio (PMEPR) from the communication side. To achieve this goal, we start from building an appropriate model that incorporates all subcarrier-related characteristics of multi-OFDM waveforms. Based on this model, we formulate the design as a non-convex optimization problem. The objective function therein corresponds to the output SINR, while the constraints include subcarrier-modulated IE, PMEPR control, constant-modulus property of subcarriers, and target-steering requirement linked to OFDM waveforms. To tackle the problem, we first construct a majorization function to transform its objective function into a quadratic form. Then, we apply the consensus alternating direction method of multipliers framework to solve the reformulated problem via iterations, wherein an augmented Lagrangian is elaborated. Closed-form solutions are obtained at each iteration, whose performances are verified by comprehensive simulations.