Extreme Age of Information for Wireless-Powered Communication Systems

TL;DR

This paper analyzes the maximum age of information in wireless-powered systems with multiple antennas, showing it follows a Gumbel distribution and providing insights into its extreme behavior.

Contribution

It introduces an analytical framework for the extreme AoI in wireless-powered systems using extreme value theory, deriving closed-form expressions and performance metrics.

Findings

Extreme AoI converges to Gumbel distribution.

Closed-form expressions for distribution parameters.

Analytical evaluation of extreme AoI risk.

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.