• DocumentCode
    1119536
  • Title

    Coincidence of the Rao Test, Wald Test, and GLRT in Partially Homogeneous Environment

  • Author

    De Maio, A. ; Iommelli, S.

  • Author_Institution
    Dipt. di Ing. Elettron. e delle Tele- Comun., Univ. degli Studi di Napoli "Federico II, Naples
  • Volume
    15
  • fYear
    2008
  • fDate
    6/30/1905 12:00:00 AM
  • Firstpage
    385
  • Lastpage
    388
  • Abstract
    This letter deals with the problem of detecting a signal known up to a scaling factor in the presence of partially homogeneous Gaussian disturbance with unknown covariance matrix. It is proved that the Rao test and the Wald test coincide with the generalized likelihood ratio test (GLRT) previously derived. Otherwise stated, the Rao test, the Wald test, and the GLRT are all equivalent to the uniformly most powerful invariant (UMPI) detector.
  • Keywords
    Gaussian processes; covariance matrices; signal detection; GLRT; Rao Test; Wald test; covariance matrix; generalized likelihood ratio test; partially homogeneous Gaussian disturbance; scaling factor; signal detection; Adaptive detection; Rao test; Wald test; generalized likelihood ratio test (GLRT);
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2008.920016
  • Filename
    4481246