Stochastic Geometry Analysis of Radar-Communication Co-Existence in Vehicular Networks

We employ tools of stochastic geometry to investigate the co-existence of millimeter wave (mm-wave) radar and communication features in vehicular networks with time and frequency resource sharing. First, we highlight the importance and applicability of signal to interference and noise ratio (SINR) as a metric to characterize the radar performance. Then, we define and characterize the probability of the joint event that the radar detection rate and the data communication rate exceed predetermined thresholds. We study the trends of the joint success probability either with time-division or frequency-division resource sharing between the radar and the communication functionalities. Furthermore, we define and optimize a metric called the effective range resolution (ERR) that jointly takes into account the detection probability with the bandwidth dedicated to the radar system. Our study highlights that although a frequency-division co-existence may improve radar detection probability due to reduced interference, it may eventually result in a higher ERR due to the reduced bandwidth. Accordingly, we provide key system design insights and prescribe different operation regimes for the co-existence system.