• DocumentCode
    918991
  • Title

    A simple proof of the entropy-power inequality

  • Author

    Verdu, Sergio ; Guo, Di

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Northwestern Univ., Evanston, IL, USA
  • Volume
    52
  • Issue
    5
  • fYear
    2006
  • fDate
    5/1/2006 12:00:00 AM
  • Firstpage
    2165
  • Lastpage
    2166
  • Abstract
    This correspondence gives a simple proof of Shannon´s entropy-power inequality (EPI) using the relationship between mutual information and minimum mean-square error (MMSE) in Gaussian channels.
  • Keywords
    Gaussian channels; entropy; information theory; least mean squares methods; Gaussian channel; MMSE; Shannons EPI; entropy-power inequality; minimum mean-square error; mutual information; Additive noise; Entropy; Gaussian channels; Gaussian noise; Gaussian processes; Mutual information; Probability density function; Random variables; Signal to noise ratio; Vectors; Differential entropy; entropy-power inequality (EPI); minimum mean-square error (MMSE);
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.872978
  • Filename
    1624647
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=918991