Extreme Age of Information for Wireless-Powered Communication Systems

Abstract

The extreme or maximum age of information (AoI) is analytically studied for wireless communication systems. In particular, a wireless powered single-antenna source node and a receiver (connected to the power grid) equipped with multiple antennas are considered when operated under independent Rayleigh-faded channels. Via the extreme value theory and its corresponding statistical features, we demonstrate that the extreme AoI converges to the Gumbel distribution whereas its corresponding parameters are obtained in straightforward closed-form expressions. Capitalizing on this result, the risk of the extreme AoI realization is analytically evaluated according to some relevant performance metrics, while some useful engineering insights are manifested. Index TermsAge of information (AoI), extreme value theory, low-latency, wireless power transfer. I. INTRODUCTIONAge of information (AoI) represents an insightful performance metric for wireless communication systems, which indicates the timeliness of data delivery. Doing so, it has numerous applications in a set of various recent and upcoming real-time networking paradigms, e.g., Internet-of-things, vehicular and machine-type communications, healthcare, infrastructure and