• DocumentCode
    918706
  • Title

    RKHS approach to detection and estimation problems--IV: Non-Gaussian detection

  • Author

    Duttweiler, Donald L. ; Kailath, Thomas

  • Author_Institution
    AT&T Bell Labs., Holmdel, NJ
  • Volume
    19
  • Issue
    1
  • fYear
    1973
  • fDate
    1/1/1973 12:00:00 AM
  • Firstpage
    19
  • Lastpage
    28
  • Abstract
    We introduce the reproducing-kernel Hilbert space (RKHS) associated with the characteristic functional of a random process and use it to develop a general RKHS theory for non-Gaussian detection. Previously known results for choosing between processes with Gaussian and Poisson statistics are obtained as specializations of this theory.
  • Keywords
    Hilbert spaces; Signal detection; Stochastic processes; Correlators; Gaussian distribution; Gaussian processes; Hilbert space; Multidimensional systems; Object detection; Probability density function; Probability distribution; Random processes; Receivers;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1973.1054928
  • Filename
    1054928