This paper investigates the Age of Incorrect Information (AoII) in a communication system whose channel suffers a random delay. We consider a slotted-time system where a transmitter observes a dynamic source and decides when to send updates to a remote receiver through the communication channel. The threshold policy, under which the transmitter initiates transmission only when the AoII exceeds the threshold, governs the transmitter's decision. In this paper, we analyze and calculate the performance of the threshold policy in terms of the achieved AoII. Using the Markov chain to characterize the system evolution, the expected AoII can be obtained precisely by solving a system of linear equations whose size is finite and depends on the threshold. We also give closed-form expressions of the expected AoII under two particular thresholds. Finally, calculation results show that there are better strategies than the transmitter constantly transmitting new updates.
翻译:本文对频道受到随机延误的通信系统中的错误信息时代( AoII) 进行了调查。 我们考虑一个时间档系统,让发报机观察动态源,并决定何时通过通信频道向远程接收器发送更新信息。 起始政策规定发报机只有在AoII 超过门槛时才启动传输, 指导发报机的决定。 在本文中, 我们用已实现的 AoII 来分析和计算门槛政策的性能。 利用 Markov 链来描述系统的演变, 可以通过解决一个其大小有限和取决于门槛的线性方程式系统来准确获得预期的AoII 。 我们还给出了两个特定门槛下预期的AoII 的封闭式表达方式。 最后, 计算结果显示, 有比发报机不断传送新的更新更好的战略 。</s>