• DocumentCode
    3480481
  • Title

    Zakai equation of non-linear filtering with dependent noises and unbounded observation coefficients

  • Author

    Florchinger, Patrick

  • Author_Institution
    Dept. de Math., Metz Univ., France
  • fYear
    1991
  • fDate
    11-13 Dec 1991
  • Firstpage
    2756
  • Abstract
    The author gives an existence and uniqueness result to the solution of the Zakai equation associated with a nonlinear filtering problem with dependent noises and a scalar observation process whose coefficients are unbounded. It is proved that a specified unnormalized filter solves a Zakai equation, and results of P. Cannarsa and V. Vespri (1985) are used to state a uniqueness result to the solution of that equation in convenient Holder spaces
  • Keywords
    filtering and prediction theory; noise; signal processing; Holder spaces; Zakai equation; dependent noises; nonlinear filtering; signal processing; unbounded observation coefficients; unnormalized filter; Differential equations; Filtering; Filters; Nonlinear equations; Random variables; Stochastic processes; Stochastic resonance; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
  • Conference_Location
    Brighton
  • Print_ISBN
    0-7803-0450-0
  • Type

    conf

  • DOI
    10.1109/CDC.1991.261858
  • Filename
    261858