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Broadcasting a Common Message with Variable-Length Stop-Feedback Codes

Kasper Fløe Trillingsgaard ; Wei Yang (Institutionen för signaler och system, Kommunikationssystem) ; Giuseppe Durisi (Institutionen för signaler och system, Kommunikationssystem) ; Petar Popovski
2015 IEEE International Symposium on Information Theory (2015)
[Konferensbidrag, refereegranskat]

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.

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Denna post skapades 2015-04-25. Senast ändrad 2016-06-10.
CPL Pubid: 215766


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