Power-Aperture Product Resource Allocation for Radar ISAC

This article deals with the problem of power aperture product (PAP) management in a multifunction phased array radar (MPAR) performing sensing in both line of sight (LOS) and non line of sight (NLOS), and communications. To this end, two different quality metrics are introduced, namely the range where the cumulative detection probability (for sensing) and the channel capacity per bandwidth (for communications) attain a specified value. Then, suitable utility functions are defined to map the quality index relative to the corresponding perceived utility for each task. The resource allocation is hence formulated as a constrained optimization problem whose solution optimizes the global radar quality of service (QoS). The method is finally validated by means of numerical simulations.