• DocumentCode
    921521
  • Title

    On the \\epsilon -entropy of certain Gaussian processes

  • Author

    Binia, Jacob

  • Volume
    20
  • Issue
    2
  • fYear
    1974
  • fDate
    3/1/1974 12:00:00 AM
  • Firstpage
    190
  • Lastpage
    196
  • Abstract
    A condition on the eigenvalues of two Gaussian processes is given that is sufficient for the boundedness of the difference of their \\varepsilon -entropies. It is also proved that the difference between the \\varepsilon -entropies of two strongly equivalent Gaussian processes is bounded. The relation between the \\varepsilon -entropies of equivalent (or strongly equivalent) Gaussian processes is used for obtaining the asymptotic behavior (as \\varepsilon goes to zero) of the \\varepsilon -entropy of certain processes.
  • Keywords
    Entropy functions; Gaussian processes; Eigenvalues and eigenfunctions; Entropy; Extraterrestrial measurements; Fourier transforms; Gaussian processes; Mutual information; Space technology;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1974.1055203
  • Filename
    1055203