• DocumentCode
    1103842
  • Title

    The Decomposition of the States of a Linear Feedback Shift Register Into Cycles of Equal Length

  • Author

    Perlman, Marvin

  • Author_Institution
    IEEE
  • Issue
    11
  • fYear
    1970
  • Firstpage
    1029
  • Lastpage
    1035
  • Abstract
    This paper presents a derivation of a linear feedback function for an r-stage feedback shift register that results in branchless less cycles of equal length. The linear recurrence relationship and generating function, which characterize the r-stage feedback shift register´s behavior, are used to prove that each of the 2r states lie in cycles of equal length.
  • Keywords
    Characteristic polynomial, feedback shift register, generating function, linear recurrence relationship.; Character generation; Clocks; Helium; Linear feedback shift registers; Logic; Polynomials; Propulsion; Shift registers; Space technology; State feedback; Characteristic polynomial, feedback shift register, generating function, linear recurrence relationship.;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1970.222828
  • Filename
    1671421
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1103842