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arXiv 2602.17019eess.SYcs.SY
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超越基于平均信道的速率近似:考虑预期速率的无人机轨迹和调度优化

Beyond Average-Channel-Based Rate Approximations: UAV Trajectory and Scheduling Optimization With Expected Rate Consideration

Dongguk University(东国大学)

Gitae Park, Kisong Lee

AI总结:

本文提出了一种考虑预期速率的无人机轨迹和调度优化方法,通过数值积分信道分布来近似预期SE,从而在满足约束条件下减少任务完成时间。

摘要:

本文研究了在最小预期频谱效率(SE)约束下,无人机(UAV)辅助无线通信系统中轨迹、用户调度和时间槽持续时间的联合优化。不同于大多数现有研究将随机信道增益替换为其均值来估算SE,从而在平均信道实现上评估SE并由于Jensen不等式而高估真实预期SE,我们通过数值积分SE over信道分布来近似预期SE。具体而言,而不是依赖基于平均信道的近似,我们开发了一种保守且可处理的基于四次方的近似方法,通过离散化相关的累积分布函数。所得有限和表示明确考虑了概率LoS结构和信道衰落效应,同时保持可处理性。利用这一下限,我们提出了一个最小化任务完成时间的问题,该问题满足所有地面节点的最小预期SE要求。所得到的问题是一个混合整数非凸优化问题,通过基于惩罚的块坐标下降框架来解决。所提出的算法交替优化调度决策和无人机轨迹以及自适应的时间槽持续时间,并利用连续凸近似和二次变换技术来保持对原始预期SE约束的可行性。仿真结果表明,所提出的方法严格满足最小预期SE约束,并在任务完成时间上显著优于传统基于平均信道的方法,这些方法被证明会产生不可行或过于保守的解决方案。

英文摘要:

This paper investigates the joint optimization of trajectory, user scheduling, and time-slot duration in unmanned aerial vehicle (UAV)-assisted wireless communication systems under minimum expected spectral efficiency (SE) constraints. Unlike most existing studies that approximate the expected SE by substituting the random channel gain with its mean value, thereby evaluating the SE at the average channel realization and overestimating the true expected SE due to Jensen's inequality, we approximate the expected SE by numerically integrating the SE over the channel distributions. Specifically, instead of relying on average-channel-based approximations, we develop a conservative yet tractable quadrature-based approximation by discretizing the associated cumulative distribution functions. The resulting finite-sum representation explicitly accounts for the probabilistic LoS structure and channel fading effects, while remaining tractable for optimization. Leveraging this lower bound, we formulate a mission completion time minimization problem subject to minimum expected-SE requirements for all ground nodes. The resulting problem is a mixed-integer nonconvex optimization, which is tackled via a penalty-based block coordinate descent framework. The proposed algorithm alternately optimizes the scheduling decisions and the UAV trajectory along with adaptive time-slot durations, and maintains feasibility with respect to the original expected-SE constraints by leveraging successive convex approximation and quadratic transform techniques. Simulation results demonstrate that the proposed method strictly satisfies the minimum expected-SE constraints and achieves a significantly shorter mission completion time than conventional average-channel-based approaches, which are shown to yield infeasible or overly conservative solutions.

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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