• DocumentCode
    2936539
  • Title

    A simple formula for the rate of maxima in the envelope of normal processes having unsymmetrical spectra

  • Author

    Abdi, Ali ; Nader-Esfahani, Said

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Tehran Univ., Iran
  • fYear
    1995
  • fDate
    17-22 Sep 1995
  • Firstpage
    425
  • Abstract
    In the early days of statistical communication theory, pioneering works of Rice (1954), Middleton, Lawson, Uhlenbeck, etc. developed certain fundamental statistical properties of the normal process envelope (NPE). But, still there is a large number of unresolved problems about the NPE. One of these unresolved problems is the rate of maxima in a NPE having unsymmetrical spectrum. We present a new formula for rate of maxima in the envelope of a normal process. In contrast to the Rice formula, our result is simple; and also is not limited to a process with even symmetry in its one-sided spectrum
  • Keywords
    normal distribution; spectral analysis; statistical analysis; normal process envelope; one-sided spectrum; rate of maxima; statistical communication theory; statistical properties; unsymmetrical spectra; Fluctuations; Frequency; Linear systems; Mathematical analysis; Polynomials; Stochastic processes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
  • Conference_Location
    Whistler, BC
  • Print_ISBN
    0-7803-2453-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1995.550412
  • Filename
    550412