• DocumentCode
    3095762
  • Title

    Higher order cumulants and cumulant spectra

  • Author

    Hinich, Melvin

  • Author_Institution
    Texas Univ., Austin, TX, USA
  • fYear
    1990
  • fDate
    10-12 Oct. 1990
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    An exposition of higher order cumulants is given using the case of M=6. The basic relationship between the cumulant spectrum of a stationary time series and its polyspectrum is presented. Then the variance and covariance of the sample bispectrum is derived using a relationship between cumulant spectra of the finite Fourier transform for M=2 and 4, and the bispectrum and trispectrum of the time series.<>
  • Keywords
    Fourier transforms; spectral analysis; time series; bispectrum covariance; bispectrum variance; cumulant spectrum; finite Fourier transform; higher order cumulants; polyspectrum; signal processing; spectral analysis; stationary time series; trispectrum; Fourier transforms; Random variables; Signal processing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Spectrum Estimation and Modeling, 1990., Fifth ASSP Workshop on
  • Conference_Location
    Rochester, NY, USA
  • Type

    conf

  • DOI
    10.1109/SPECT.1990.205534
  • Filename
    205534