• DocumentCode
    1087151
  • Title

    On the distribution function of a random power series with Bernoulli variables as coefficients

  • Author

    Sugiyama, Hirosi ; Huzii, Akira

  • Author_Institution
    Dept. of Inf. Sci., Shounan Inst. of Technol., Fujisawa, Japan
  • Volume
    41
  • Issue
    6
  • fYear
    1995
  • fDate
    11/1/1995 12:00:00 AM
  • Firstpage
    2007
  • Lastpage
    2008
  • Abstract
    An explicit formula is given for the distribution function of the Bernoulli random power series when the argument is the pth root of 1/2. It is expressed as a spline of degree p. One application is to the study of intersymbol interference in communication theory
  • Keywords
    convolution; information theory; intersymbol interference; series (mathematics); splines (mathematics); statistical analysis; Bernoulli variables; communication theory; distribution function; intersymbol interference; random power series; spline; Convolution; Distribution functions; Error probability; Fourier transforms; Information science; Intersymbol interference; Materials science and technology; Random variables; Spline; Writing;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.476326
  • Filename
    476326
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1087151