A Joint Power-time Resource Optimization Method for Multi-target Fairness in Heterogeneous Multi-radar Systems

To address the issue of degraded tracking performance of the worst-case target in heterogeneous multi-radar multi-target tracking under resource constraints, a joint power-dwell time optimization method for multi-target fairness is proposed. First, a heterogeneous multi-radar tracking model is established according to the resource characteristics of different radars, and the Bayesian Cramér-Rao lower bound (BCRLB) is adopted to characterize target tracking accuracy. Then, a joint optimization model is formulated by introducing a worst-case criterion and aiming to minimize the maximum BCRLB, thereby prioritizing the allocation of limited resources to targets with poor observation conditions. Finally, a primal-dual projected subgradient method is employed to solve the optimization problem. Simulation results demonstrate that the proposed method can effectively reduces the BCRLB of the worst-case target, narrow the tracking accuracy gap among targets, and improve the balance of multi-target tracking performance under resource-limited conditions.