A status updating system is considered in which a source updates a destination over an erasure channel. The utility of the updates is measured through a function of their age-of-information (AoI), which assesses their freshness. Correlated with the status updates is another process that needs to be kept private from the destination. Privacy is measured through a leakage function that depends on the amount and time of the status updates received: stale updates are more private than fresh ones. Different from most of the current AoI literature, a post-sampling waiting time is introduced in order to provide a privacy cover at the expense of AoI. More importantly, it is also shown that, depending on the leakage budget and the channel statistics, it can be useful to retransmit stale status updates following erasure events without resampling fresh ones.

翻译：本文考虑一个状态更新系统，其中信源通过擦除信道向信宿更新状态。更新的效用通过其信息年龄（AoI）函数来衡量，该函数评估信息的时效性。与状态更新相关的另一个过程需要向信宿保密。隐私通过泄漏函数来衡量，该函数取决于所接收状态更新的数量和时间：过时更新比新鲜更新具有更高的隐私性。与当前大多数AoI文献不同，本文引入采样后等待时间以在牺牲AoI的代价下提供隐私掩护。更重要的发现是，根据泄漏预算和信道统计特性，在擦除事件发生后重传过时状态更新（无需重新采样新鲜状态）可能是有益的。