The impact of constellation cardinality on gaussian channel capacity

Yihong Wu, Sergio Verdu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

38 Scopus citations

Abstract

Denote by Cm(snr) the Gaussian channel capacity with signal-to-noise ratio snr and input cardinality m. We show that as m grows, Cm(snr) approaches C(snr) = 1/2 log(1 + snr) exponentially fast. Lower and upper bounds on the exponent are given as functions of snr. We propose a family of input constellations based on the roots of the Hermite polynomials which achieves exponential convergence.

Original languageEnglish (US)
Title of host publication2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
Pages620-628
Number of pages9
DOIs
StatePublished - Dec 1 2010
Event48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010 - Monticello, IL, United States
Duration: Sep 29 2010Oct 1 2010

Publication series

Name2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010

Other

Other48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010
CountryUnited States
CityMonticello, IL
Period9/29/1010/1/10

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Control and Systems Engineering

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  • Cite this

    Wu, Y., & Verdu, S. (2010). The impact of constellation cardinality on gaussian channel capacity. In 2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010 (pp. 620-628). [5706965] (2010 48th Annual Allerton Conference on Communication, Control, and Computing, Allerton 2010). https://doi.org/10.1109/ALLERTON.2010.5706965