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We investigate the probability that the peak age of information in apoint-to-point communication system operating over a multiantenna wirelessfading channel exceeds a predetermined value. The packets are scheduledaccording to a last-come first-serve policy with preemption in service, and aretransmitted over the channel using a simple automatic repetition requestprotocol. We consider quadrature phase shift keying modulation, pilot-assistedtransmission, maximum-likelihood channel estimation, and mismatched scalednearest-neighbor decoding. Our analysis, which exploits nonasymptotic tools ininformation theory, allows one to determine, for a given information packetsize, the physical layer parameters such as the SNR, the number of transmit andreceive antennas, the amount of frequency diversity to exploit, and the numberof pilot symbols, to ensure that the system operates below a target peak-ageviolation probability.

Peak-Age Violation Guarantees for the Transmission of Short Packets over Fading Channels