• DocumentCode
    1059893
  • Title

    Z-complementary Binary Sequences

  • Author

    Fan, Pingzhi ; Yuan, Weina ; Tu, Yifeng

  • Author_Institution
    Southwest Jiaotong Univ., Chengdu
  • Volume
    14
  • Issue
    8
  • fYear
    2007
  • Firstpage
    509
  • Lastpage
    512
  • Abstract
    In this letter, Z-complementary sequences are introduced. These sequences include the conventional complementary sequences as special cases. It is shown that, different from the normal complementary pair of binary sequences which exist only for very limited lengths, i.e., 2a10b26c for a,b,cges0, a Z-complementary pair of binary sequences exists for many more lengths. In addition, for a Z-complementary set with zero correlation zone Z, P binary sequences, each having length N, the maximum number of distinct Z-complementary mates is smaller than or equal to P[N/Z].
  • Keywords
    binary sequences; Z-complementary binary sequences; complementary mates; zero correlation zone; Acoustic applications; Acoustic devices; Acoustic pulses; Autocorrelation; Binary sequences; Infrared spectra; Navigation; Optical fiber communication; Radar applications; Spectroscopy; Complementary mates; Z-complementary binary sequences; zero correlation zone;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2007.891834
  • Filename
    4276731