  In this paper, we introduce the design of a multi-antenna Joint
Radar-Communication (JRC) system with Rate Splitting Multiple Access (RSMA) and
low resolution Digital-to-Analog Converter (DAC) units. Using RSMA, the
communication messages are split into private and common parts, then precoded
and quantized before transmission. We use a problem formulation to design the
JRC system with RSMA and low resolution DACs by maximizing communication
sum-rate and the proximity of the resulting JRC waveform to an optimal radar
beampattern under an average transmit power constraint. We solve the joint
sum-rate maximization and beampattern error minimization problem using
Alternating Direction Method of Multipliers (ADMM) method. The numerical
results show that RSMA achieves a significantly higher sum-rate compared to
Space Division Multiple Access (SDMA) while providing the same Normalized Mean
Square Error (NMSE) for the designed radar beampattern.
