• DocumentCode
    1255082
  • Title

    Tests of Gaussianity and linearity for random fields using estimated higher order spectra

  • Author

    Yuan, J.

  • Author_Institution
    Dept. of Math., Univ. of Manchester Inst. of Sci. & Technol., UK
  • Volume
    46
  • Issue
    1
  • fYear
    1998
  • fDate
    1/1/1998 12:00:00 AM
  • Firstpage
    247
  • Lastpage
    250
  • Abstract
    We present frequency domain tests of Gaussianity and linearity for random fields and study their power both analytically and by simulation. Our tests conform to the likelihood ratio principle, and the test statistics (chi-squared in both cases) are simple and intuitively plausible. Using these tests, we found certain texture images to be both non-Gaussian and nonlinear
  • Keywords
    Gaussian processes; frequency-domain analysis; higher order statistics; image texture; maximum likelihood estimation; random processes; spectral analysis; Gaussianity tests; chi-squared statistics; estimated higher order spectra; frequency domain tests; likelihood ratio principle; linearity tests; multidimensional signal processing; nonGaussian images; nonlinear images; random fields; simulation; test statistics; texture images; Analytical models; Frequency domain analysis; Frequency estimation; Gaussian processes; Higher order statistics; Linearity; Spectral analysis; Statistical analysis; Stochastic processes; Testing;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.651229
  • Filename
    651229