• DocumentCode
    1205818
  • Title

    A sharp false alarm upper-bound for a matched filter bank detector

  • Author

    Gerlach, Karl ; Sangston, Kevin J.

  • Author_Institution
    Radar Div., Naval Res. Lab., Washington, DC, USA
  • Volume
    40
  • Issue
    3
  • fYear
    1994
  • fDate
    5/1/1994 12:00:00 AM
  • Firstpage
    955
  • Lastpage
    960
  • Abstract
    A sharp upper bound on the probability of false alarm, PF , of a matched filter bank detector over the class of input variates that are zero mean and have a specified covariance matrix, R xx, is derived. This bound is a function of the detector threshold, T, and Rxx. It is shown that the bound is inversely proportional to T2. Hence there may be a wide variation of PF over the class since the PF for Gaussian inputs varies as exp(-T2)
  • Keywords
    filtering and prediction theory; matched filters; matrix algebra; signal detection; Gaussian inputs; covariance matrix; detector threshold; input variates; matched filter bank detector; probability of false alarm; sharp false alarm upper-bound; Autocorrelation; Detectors; Equations; Helium; Linear programming; Matched filters;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.335912
  • Filename
    335912
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1205818