• DocumentCode
    567445
  • Title

    Generalized PHD filters via a general chain rule

  • Author

    Clark, Daniel ; Mahler, Ronald

  • Author_Institution
    Dept. of Electr., Electron. & Comput. Eng., Heriot-Watt Univ., Edinburgh, UK
  • fYear
    2012
  • fDate
    9-12 July 2012
  • Firstpage
    157
  • Lastpage
    164
  • Abstract
    This paper introduces a general chain rule (GCR) for Gâteaux differentials/Gâteaux derivatives, and describes its consequences for multitarget detection and tracking. After describing the GCR and its specific form for functionals and functional derivatives, we use it to derive two new PHD filters: (1) a PHD filter for general models of target-generated measurements with general clutter processes; and (2) a multisensor version of this filter.
  • Keywords
    clutter; filtering theory; object detection; sensor fusion; target tracking; GCR; Gâteaux differentials-Gâteaux derivatives; clutter processes; general chain rule; generalized PHD filters; multisensor version; multitarget detection; multitarget tracking; target-generated measurements; Approximation methods; Clutter; Current measurement; Equations; Filtering theory; Mathematical model; Target tracking; Gâteaux derivative; PHD filter; chain rule; finite-set statistics; functional derivative; random sets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Fusion (FUSION), 2012 15th International Conference on
  • Conference_Location
    Singapore
  • Print_ISBN
    978-1-4673-0417-7
  • Electronic_ISBN
    978-0-9824438-4-2
  • Type

    conf

  • Filename
    6289800