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arXiv 2406.01331cs.ITeess.SPmath.IT
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多用户反向散射系统中通感一体化的性能折中

Performance Trade-off of Integrated Sensing and Communications for Multi-User Backscatter Systems

Yuanming Tian, Dan Wang, Chuan Huang, Wei Zhang

AI总结:

本文研究多用户反向散射系统中通感一体化的定位与通信性能折中,通过结合分数规划与Schur补技术将非凸CRB最小化问题转化为凸问题,揭示了两者间的性能折中关系。

摘要:

本文研究多用户反向散射通信(BackCom)系统中通感一体化(ISAC)的性能折中,其中多天线ISAC发射机向多个单天线无源反向散射设备(BD)发送激励信号,多天线ISAC接收机基于所有BD的反向散射信号执行联合感知(定位)与通信任务。具体而言,定位性能由反向散射信号传输时延和到达方向(DoA)的Cramér-Rao下界(CRB)衡量,通过推导相应的Fisher信息矩阵(FIM)获得其闭式表达式,通信性能由所有BD的总传输速率表征。为刻画定位与通信性能间的折中,构建了带通信速率约束的CRB最小化问题,并证明其通常非凸。利用隐藏凸性,提出结合分数规划(FP)与Schur补技术将原问题转化为等价凸形式。数值结果揭示了所提方法实现的CRB与总传输速率间的折中。

英文摘要:

This paper studies the performance trade-off in a multi-user backscatter communication (BackCom) system for integrated sensing and communications (ISAC), where the multi-antenna ISAC transmitter sends excitation signals to power multiple single-antenna passive backscatter devices (BD), and the multi-antenna ISAC receiver performs joint sensing (localization) and communication tasks based on the backscattered signals from all BDs. Specifically, the localization performance is measured by the Cramér-Rao bound (CRB) on the transmission delay and direction of arrival (DoA) of the backscattered signals, whose closed-form expression is obtained by deriving the corresponding Fisher information matrix (FIM), and the communication performance is characterized by the sum transmission rate of all BDs. Then, to characterize the trade-off between the localization and communication performances, the CRB minimization problem with the communication rate constraint is formulated, and is shown to be non-convex in general. By exploiting the hidden convexity, we propose an approach that combines fractional programming (FP) and Schur complement techniques to transform the original problem into an equivalent convex form. Finally, numerical results reveal the trade-off between the CRB and sum transmission rate achieved by our proposed method.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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