• DocumentCode
    3045330
  • Title

    Maximizing the entropy of a sum of independent random variables

  • Author

    Ordentlich, Erik

  • Author_Institution
    Hewlett-Packard Labs., Palo Alto, CA, USA
  • fYear
    1997
  • fDate
    29 Jun-4 Jul 1997
  • Firstpage
    277
  • Abstract
    We show that the differential entropy of a sum of independent symmetric random variables supported on [-1,1] is maximal when one is uniformly distributed and the remaining are Bernoulli ±1
  • Keywords
    entropy; information theory; multi-access systems; optimisation; random processes; differential entropy; entropy maximization; independent symmetric random variables sum; multiple access system; Additive noise; Entropy; Fasteners; Mathematics; Probability distribution; Random variables; Signal to noise ratio; Throughput; Time sharing computer systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory. 1997. Proceedings., 1997 IEEE International Symposium on
  • Conference_Location
    Ulm
  • Print_ISBN
    0-7803-3956-8
  • Type

    conf

  • DOI
    10.1109/ISIT.1997.613195
  • Filename
    613195
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3045330