• DocumentCode
    1538019
  • Title

    The distributions of local extrema of Gaussian noise and of its envelope

  • Author

    Blachman, Nelson M.

  • Author_Institution
    33 Linda Ave., Oakland, CA, USA
  • Volume
    45
  • Issue
    6
  • fYear
    1999
  • fDate
    9/1/1999 12:00:00 AM
  • Firstpage
    2115
  • Lastpage
    2121
  • Abstract
    Cramer and Leadbetter´s (1967) result for the distribution of the local maxima of stationary Gaussian noise is studied and plotted. Its derivation is used for finding the distributions of the local maxima and minima of the envelope of narrowband Gaussian noise. These distributions, too, are studied and plotted, including the limiting cases of very wide and narrow noise spectra
  • Keywords
    Gaussian noise; spectral analysis; statistical analysis; local extrema distributions; local maxima distribution; local minima distribution; narrow noise spectra; narrowband Gaussian noise envelope; stationary Gaussian noise; wide narrow noise spectra; Frequency; Gaussian noise; Government; Narrowband; Noise level; Probability density function; Probability distribution; Wideband;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.782153
  • Filename
    782153