• DocumentCode
    934122
  • Title

    Properties of binary autoregressive sequences

  • Author

    Budihardjo, P.S. ; Mark, J.W.

  • Author_Institution
    University of Waterloo, Waterloo, Ont., Canada
  • Volume
    63
  • Issue
    4
  • fYear
    1975
  • fDate
    4/1/1975 12:00:00 AM
  • Firstpage
    728
  • Lastpage
    729
  • Abstract
    It is shown that 1) a binary autoregressive sequence generated by yn= xn⊕ yn-N, where N = 2Kand K = 0, 1,..., is wide-sense Markov and 2) under the condition Pr [xn= 1] = p < 0.5, the error associated with a one-step prediction of a first-order Markov sequence yn= Xn⊕ yn-1grows with the order N of the predictor. The error attains its minimum value when N = 1.
  • Keywords
    Autocorrelation; Binary sequences; Equations; Random variables;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1975.9816
  • Filename
    1451746
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=934122