• DocumentCode
    2421187
  • Title

    The impact of constellation cardinality on Gaussian channel capacity

  • Author

    Wu, Yihong ; Verd, Sergio

  • Author_Institution
    Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA
  • fYear
    2010
  • fDate
    Sept. 29 2010-Oct. 1 2010
  • Firstpage
    620
  • Lastpage
    628
  • 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.
  • Keywords
    Gaussian channels; channel capacity; polynomials; Gaussian channel capacity; Hermite polynomials; SNR; constellation cardinality; exponential convergence; lower bounds; signal-to-noise ratio; upper bounds; Approximation methods; Channel capacity; Convolution; Entropy; Polynomials; Random variables; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2010 48th Annual Allerton Conference on
  • Conference_Location
    Allerton, IL
  • Print_ISBN
    978-1-4244-8215-3
  • Type

    conf

  • DOI
    10.1109/ALLERTON.2010.5706965
  • Filename
    5706965
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2421187