• DocumentCode
    959222
  • Title

    A Compact Definition of Walsh Functions

  • Author

    Butin, H.

  • Author_Institution
    Telecommunications Division, Thomson-CSF, Gennevilliers, France.
  • Issue
    6
  • fYear
    1972
  • fDate
    6/1/1972 12:00:00 AM
  • Firstpage
    590
  • Lastpage
    592
  • Abstract
    A polynomial definition of the Walsh functions (very similar to that used by Titsworth [9] or Pearl [7]) is shown to be equivalent to Pichler-Harmuth´s formulas [3]. It gives an easy way to derive some properties of Walsh functions, such as their relationship with the Gray code or the shifting theorem.
  • Keywords
    Binary codes; Polynomials; Reflective binary codes; Gray code; Rademacher functions; Walsh functions; sequency;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.1972.5009014
  • Filename
    5009014
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=959222