• DocumentCode
    1367493
  • Title

    Periods of interleaved and nonuniformly decimated sequences

  • Author

    Golic, Jovan Dj

  • Author_Institution
    Sch. of Electr. Eng., Belgrade Univ., Serbia
  • Volume
    44
  • Issue
    3
  • fYear
    1998
  • fDate
    5/1/1998 12:00:00 AM
  • Firstpage
    1257
  • Lastpage
    1260
  • Abstract
    Periods of interleaved and nonuniformly decimated integer sequences are analyzed. A characterization of the period of an interleaved sequence in terms of the constituent periodic integer sequences is first derived. This is then used to generalize the result of Blakley and Purdy (1981) on the period of a decimated integer sequence obtained by a periodic nonuniform decimation. The technique developed and results may be interesting for analyzing the period of various pseudorandom sequences, especially in stream cipher and spread-spectrum applications
  • Keywords
    cryptography; interleaved codes; random processes; sequences; spread spectrum communication; cryptography; interleaved decimated sequences; nonuniformly decimated integer sequences; periodic integer sequences; periodic nonuniform decimation; pseudorandom sequences; sequence period; spread-spectrum applications; stream cipher; Application software; Clocks; Computer science; Cryptography; Electrical engineering; Interleaved codes; Random number generation; Random sequences; Shift registers; Spread spectrum radar;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.669307
  • Filename
    669307