Broadcasting a Common Message with Variable-Length Stop-Feedback Codes
Paper i proceeding, 2015

We investigate the maximum coding rate achievable over a two-user broadcast channel for the scenario where a common message is transmitted using variable-length stop-feedback codes. Specifically, upon decoding the common message, each de- coder sends a stop signal to the encoder, which transmits continuously until it receives both stop signals. For the point-to-point case, Polyanskiy, Poor, and Verdu (2011) recently demonstrated that variable-length coding combined with stop feedback significantly increases the speed at which the maximum coding rate con- verges to capacity. This speed-up manifests itself in the absence of a square-root penalty in the asymptotic expansion of the maximum coding rate for large blocklengths, a result a.k.a. zero dispersion. In this paper, we show that this speed-up does not necessarily occur for the broadcast channel with common message. Specifically, there exist scenarios for which variable-length stop-feedback codes yield a positive dispersion.


Kasper Fløe Trillingsgaard

Aalborg Universitet

Wei Yang

Chalmers, Signaler och system, Kommunikation, Antenner och Optiska Nätverk

Giuseppe Durisi

Chalmers, Signaler och system, Kommunikation, Antenner och Optiska Nätverk

Petar Popovski

Aalborg Universitet

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

Vol. 2015-June 2505-2509 7282907
978-1-4673-7704-1 (ISBN)


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