This paper proposes an $α$-fair multistatic integrated sensing and communication (ISAC) framework for multi-user multi-input multi-output (MIMO)-orthogonal frequency division multiplexing (OFDM) systems, where communication users act as passive bistatic receivers to enable multistatic sensing. Unlike existing works that optimize aggregate sensing metrics and thus favor geometrically advantageous targets, we minimize the $α$-fairness utility over per-target Cramér--Rao lower bounds (CRLBs) subject to per-user minimum data rate and transmit power constraints. The resulting non-convex problem is solved via the Riemannian conjugate gradient (RCG) method with a smooth penalty reformulation. Simulation results validate the effectiveness of the proposed scheme in achieving a favorable sensing fairness--communication trade-off.
翻译:本文针对多用户多输入多输出(MIMO)-正交频分复用(OFDM)系统,提出了一种α-公平的多基地集成感知与通信(ISAC)框架,其中通信用户作为无源双基地接收机以实现多基地感知。与现有优化聚合感知指标从而偏向几何优势目标的工作不同,本文在满足每用户最小数据速率和发射功率约束的条件下,最小化各目标克拉美-罗下界(CRLB)的α-公平效用函数。通过引入光滑罚函数重构,采用黎曼共轭梯度(RCG)方法求解该非凸问题。仿真结果验证了所提方案在实现感知公平性与通信性能折中方面的有效性。