Abstract
Gaussian channel inputs are required to achieve the capacity of additive white Gaussian noise (AWGN) channels. Equivalently, the n-dimensional constellation boundary must be an n-sphere. In this work, constellation shaping is discussed for short block lengths. Two different approaches are considered: Sphere shaping and constant composition distribution matching (CCDM). It is shown that both achieve the maximum rate and generate Maxwell-Boltzmann (MB) distributed inputs. However sphere shaping achieves this maximum faster than CCDM and performs more efficiently in the short block length regime. This is shown by computing the finite-length rate losses. Then the analysis is justified by numerical simulations employing low-density parity-check (LDPC) codes of the IEEE 802.11 standard.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 2018 Symposium on Information Theory and Signal Processing in the Benelux |
| Editors | Luuk Spreeuwers, Jasper Goseling |
| Place of Publication | Enschede |
| Publisher | Twente University |
| Pages | 86-96 |
| ISBN (Electronic) | 978-90-365-4570-9 |
| Publication status | Published - Jun 2018 |
| Event | 2018 Symposium on Information Theory and Signal Processing in the Benelux (SITB 2018) - University of Twente, Enschede, Netherlands Duration: 31 May 2018 → 1 Jun 2018 https://www.utwente.nl/en/eemcs/sitb2018/ |
Conference
| Conference | 2018 Symposium on Information Theory and Signal Processing in the Benelux (SITB 2018) |
|---|---|
| Abbreviated title | SITB 2018 |
| Country | Netherlands |
| City | Enschede |
| Period | 31/05/18 → 1/06/18 |
| Internet address |
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Prizes
The Best Young PhD Researcher Paper Award
Gültekin, Yunus Can (Recipient), 2018
Prize: Other › Career, activity or publication related prizes (lifetime, best paper, poster etc.) › Scientific
Cite this
Gultekin, Y. C., van Houtum, W. J., & Willems, F. M. J. (2018). On constellation shaping for short block lengths. In L. Spreeuwers, & J. Goseling (Eds.), Proceedings of the 2018 Symposium on Information Theory and Signal Processing in the Benelux (pp. 86-96). Twente University.