Abstract
Gaussian channel inputs are required to achieve the capacity of additive white Gaussian noise (AWGN) channels. Equivalently, the ndimensional constellation boundary must be an nsphere. 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 MaxwellBoltzmann (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 finitelength rate losses. Then the analysis is justified by numerical simulations employing lowdensity paritycheck (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  8696 
ISBN (Electronic)  9789036545709 
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/Territory  Netherlands 
City  Enschede 
Period  31/05/18 → 1/06/18 
Internet address 
Fingerprint
Dive into the research topics of 'On constellation shaping for short block lengths'. Together they form a unique fingerprint.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