• DocumentCode
    768067
  • Title

    On the principal domain of the discrete bispectrum of a stationary signal

  • Author

    Hinich, Melvin J. ; Messer, Hagit

  • Author_Institution
    Appl. Res. Lab., Texas Univ., Austin, TX, USA
  • Volume
    43
  • Issue
    9
  • fYear
    1995
  • fDate
    9/1/1995 12:00:00 AM
  • Firstpage
    2130
  • Lastpage
    2134
  • Abstract
    The paper presents a simplifying, yet general approach to determining the symmetry structure of a bispectrum. The principal domain (PD) of the bispectrum and its region of positive support are derived in a way that illuminates the controversy surrounding the triangle in the PD, which is called the outer triangle (OT) by Hinich and Wolinsky (1988), where the bispectrum is zero for a stationary random sampled process that is not aliased. The basic statistical issues of testing for nonzero bispectral structure are reviewed
  • Keywords
    discrete systems; random processes; signal sampling; spectral analysis; aliased processed; bispectrum; discrete bispectrum; outer triangle; positive support; principal domain; stationary random sampled process; stationary sign; symmetry structure; Fourier transforms; Frequency; Power engineering and energy; Power engineering computing; Sampling methods; Senior members; Signal analysis; Signal processing; Spectral analysis; Testing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.414775
  • Filename
    414775