Age-Optimal Channel Coding Blocklength for an M/G/1 Queue with HARQ

Date

2018-08-24

Author

Sac, Hakan
Bacinoglu, Tan
Uysal, Elif
Durisi, Giuseppe

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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We consider a communication system in which a source transmits information updates to a destination node through a binary erasure channel (BEC). When a packet containing an information update, which consists of a fixed number of information bits, arrives at the transmitter, it gets queued in a buffer, to be encoded and sent over the channel. Before transmitting a packet, the transmitter selects a channel coding blocklength n and then uses an automatic repeat request (ARQ) protocol, whereby packets that are decoded incorrectly are repeated. The choice of the coding blocklength thus affects the end-to-end status age. However, this dependency is nontrivial since, on the one hand, the duration of a single transmission attempt is directly proportional to n, so the smaller n the better. On the other hand, a smaller value of the blocklength n yields a higher probability of decoding error, which increases the end-toend status age. Employing recent finite-blocklength information-theoretic bounds and approximations on the rate achievable on a BEC for a given blocklength and a given error probability, we study the age-optimal design of this system. We find that for any nontrivial BEC, there exists an optimal blocklength that minimizes the average age and average peak age of information.

Subject Keywords

Monitoring, Decoding, Delays, Encoding, Automatic repeat request, Protocols, Random variables

URI

https://hdl.handle.net/11511/32919

DOI

https://doi.org/10.1109/spawc.2018.8445909

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Department of Electrical and Electronics Engineering, Conference / Seminar

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Citation Formats

H. Sac, T. Bacinoglu, E. Uysal, and G. Durisi, “Age-Optimal Channel Coding Blocklength for an M/G/1 Queue with HARQ,” 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32919.