  In this work we consider a multiple-input multiple-output (MIMO)
dual-function radar-communication (DFRC) system, which senses multiple spatial
directions and serves multiple users. Upon resorting to an orthogonal frequency
division multiplexing (OFDM) transmission format and a differential phase shift
keying (DPSK) modulation, we study the design of the radiated waveforms and of
the receive filters employed by the radar and the users. The approach is
communication-centric, in the sense that a radar-oriented objective is
optimized under constraints on the average transmit power, the power leakage
towards specific directions, and the error rate of each user, thus safeguarding
the communication quality of service (QoS). We adopt a unified design approach
allowing a broad family of radar objectives, including both estimation- and
detection-oriented merit functions. We devise a suboptimal solution based on
alternating optimization of the involved variables, a convex restriction of the
feasible search set, and minorization-maximization, offering a single algorithm
for all of the radar merit functions in the considered family. Finally, the
performance is inspected through numerical examples.
