We propose a frame slotted ALOHA (FSA)-based protocol for a random access network where sources transmit status updates to their intended destinations. We evaluate the effect of such a protocol on the network's timeliness performance using the Age of Information (AoI) metric. Specifically, we leverage tools from stochastic geometry to model the spatial positions of the source-destination pairs and capture the entanglement amongst the nodes' spatial-temporal attributes through the interference they caused to each other. We derive analytical expressions for the average and variance of AoI over a typical transmission link in Poisson bipolar and cellular networks, respectively. Our analysis shows that in densely deployed networks, the FSA-based status updating protocol can significantly decrease the average AoI and in addition, stabilizes the age performance by substantially reducing the variance of AoI. Furthermore, under the same updating frequency, converting a slotted ALOHA protocol into an FSA-based one always leads to a reduction in the average AoI. Moreover, implementing FSA in conjunction with power control can further benefit the AoI performance, although the particular values of framesize and power control factor must be adequately tuned to achieve the optimal gain.

翻译：我们提出了一种基于帧时隙ALOHA（FSA）的协议，适用于源节点向目标节点传输状态更新的随机接入网络。利用信息年龄（AoI）指标，我们评估了该协议对网络时效性能的影响。具体而言，我们借助随机几何工具对源-目标对的空间位置进行建模，并通过节点间相互产生的干扰捕捉其时空属性的耦合关系。针对泊松双极网络和蜂窝网络中的典型传输链路，我们分别推导了AoI均值和方差的解析表达式。分析表明，在密集部署网络中，基于FSA的状态更新协议能够显著降低平均AoI，同时通过大幅减小AoI方差来稳定时效性能。此外，在相同更新频率下，将时隙ALOHA协议转换为FSA协议总能降低平均AoI。进一步地，将FSA与功率控制结合可提升AoI性能，但需适当调整帧长和功率控制因子的具体取值才能实现最优增益。