On constellation shaping for short block lengths

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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 languageEnglish
Title of host publicationProceedings of the 2018 Symposium on Information Theory and Signal Processing in the Benelux
EditorsLuuk Spreeuwers, Jasper Goseling
Place of PublicationEnschede
PublisherTwente University
Pages86-96
ISBN (Electronic)978-90-365-4570-9
Publication statusPublished - Jun 2018
Event2018 Symposium on Information Theory and Signal Processing in the Benelux (SITB 2018) - University of Twente, Enschede, Netherlands
Duration: 31 May 20181 Jun 2018
https://www.utwente.nl/en/eemcs/sitb2018/

Conference

Conference2018 Symposium on Information Theory and Signal Processing in the Benelux (SITB 2018)
Abbreviated titleSITB 2018
CountryNetherlands
CityEnschede
Period31/05/181/06/18
Internet address

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  • Prizes

    The Best Young PhD Researcher Paper Award

    Gültekin, Yunus Can (Recipient), 2018

    Prize: OtherCareer, 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.