Broadcasting a Common Message with Variable-Length Stop-Feedback Codes
Paper in proceedings, 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.

Author

Kasper Fløe Trillingsgaard

Aalborg University

Wei Yang

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Giuseppe Durisi

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Petar Popovski

Aalborg University

IEEE International Symposium on Information Theory - Proceedings

21578095 (ISSN)

2505-2509 7282907
978-1-4673-7704-1 (ISBN)

Areas of Advance

Information and Communication Technology

Subject Categories

Telecommunications

DOI

10.1109/ISIT.2015.7282907

ISBN

978-1-4673-7704-1

More information

Latest update

2/26/2018