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自适应阈值ALOHA

Self-Adaptive Threshold ALOHA

Ahsen Topbas, Aimin Li, Elif Tugce Ceran

arXiv 2609.14800首次发表:更新:

发表机构

Middle East Technical University(中东理工大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出自适应阈值ALOHA(SATA)分布式随机接入策略,利用1比特反馈最小化信息年龄,无需节点协调,收敛至无冲突TDMA稳态,性能优于现有ALOHA变体。

AI 中文摘要

我们提出自适应阈值ALOHA(SATA),一种用于最小化信息年龄(AoI)的分布式随机接入策略。SATA使用1比特广播反馈,不需要节点间的显式协调或消息传递。我们证明,这种最小反馈足以让每个节点完美跟踪活跃用户数量,并相应调整其接入概率。对于任何初始网络状态,只要年龄阈值满足$\Gamma \geq n$(其中$n$为网络规模),SATA在有限时间内收敛到无冲突的时分多址(TDMA)稳态。我们推导了稳态下长期平均AoI和吞吐量的闭式表达式,并证明对于$\Gamma=n$,预期瞬态持续时间按$O(n\log n)$规模增长。仿真结果证实,SATA在广泛的网络规模范围内紧密接近TDMA性能,显著优于时隙ALOHA、阈值ALOHA和1-持久阈值时隙ALOHA。值得注意的是,随着网络规模增大,SATA与基准随机接入策略之间的性能差距变得更加明显。

英文摘要

We propose Self-Adaptive Threshold ALOHA (SATA), a distributed random-access policy to minimize the Age of Information (AoI). SATA uses 1-bit broadcast feedback and requires no explicit coordination or message passing among nodes. {We show that this minimal feedback is sufficient for each node to perfectly track the number of active users and adjust its access probabilities accordingly.} For any initial network state, SATA converges to a collision-free TDMA steady state in finite time whenever the age threshold satisfies $Γ\geq n$, where $n$ is the network size. We derive closed-form expressions for the long-term average AoI and throughput in steady state, and establish that, for $Γ=n$, the expected transient duration scales as $O(n\log n)$. Simulation results confirm that SATA closely approaches TDMA performance across a wide range of network sizes, significantly outperforming Slotted ALOHA, Threshold ALOHA, and 1-persistent Threshold Slotted ALOHA. Notably, the performance gap between SATA and the benchmark random-access policies becomes more pronounced as network size grows.

Comments5 pages, 3 figures

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