Delay and Peak-Age Violation Probability in Short-Packet Transmissions
Paper in proceeding, 2018

This paper investigates the distribution of delay and peak age of information in a communication system where packets, generated according to an independent and identically distributed Bernoulli process, are placed in a single-server queue with first-come first-served discipline and transmitted over an additive white Gaussian noise (AWGN) channel. When a packet is correctly decoded, the sender receives an instantaneous error-free positive acknowledgment, upon which it removes the packet from the buffer. In the case of negative acknowledgment, the packet is retransmitted. By leveraging finite-blocklength results for the AWGN channel, we characterize the delay violation and the peak-age violation probability without resorting to approximations based on large deviation theory as in previous literature. Our analysis reveals that there exists an optimum blocklength that minimizes the delay violation and the peak-age violation probabilities. We also show that one can find two blocklength values that result in very similar average delay but significantly different delay violation probabilities. This highlights the importance of focusing on violation probabilities rather than on averages.

Queuing

Age of information

Delay

Finite blocklength

Author

Rahul Devassy

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Giuseppe Durisi

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Guido Ferrante

Chalmers, Electrical Engineering, Communication, Antennas and Optical Networks

Osvaldo Simeone

King's College London

Elif Uysal-Biyikoglu

Middle East Technical University (METU)

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

Vol. 2018-June 2471-2475 8437671
978-1-5386-4781-3 (ISBN)

2018 IEEE International Symposium on Information Theory (ISIT)
Vail, Colorado., USA,

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

Communication Systems

Signal Processing

DOI

10.1109/ISIT.2018.8437671

More information

Latest update

4/5/2022 6