• DocumentCode
    1089770
  • Title

    Some properties of optimal thresholds in decentralized detection

  • Author

    Irving, William W. ; Tsitsiklis, John N.

  • Author_Institution
    Dept. of Electr. Eng., MIT, Cambridge, MA, USA
  • Volume
    39
  • Issue
    4
  • fYear
    1994
  • fDate
    4/1/1994 12:00:00 AM
  • Firstpage
    835
  • Lastpage
    838
  • Abstract
    A decentralized Bayesian hypothesis testing problem is considered. It is analytically demonstrated that for the known signal in the Gaussian noise binary hypothesis problem, when there are two sensors with statistically independent identically distributed Gaussian observations (conditioned on the true hypothesis), there is no loss in optimality in using the same decision rule at both sensors. Also, a multiple hypothesis problem is considered; some structure is analytically established for an optimal set of decision rules
  • Keywords
    Bayes methods; optimisation; probability; sensor fusion; signal detection; Gaussian noise binary hypothesis; decentralized Bayesian hypothesis testing problem; decentralized detection; decision rules; distributed Gaussian observations; distributed sensor systems; optimal thresholds; sensor fusion; signal processing; Control systems; Design engineering; Design methodology; Linear programming; Output feedback; Polynomials; Process control; Robust control; Robustness; Uncertain systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.286264
  • Filename
    286264