Detection of a signal with unknown amplitude and duration

  • A. P. Trifonov
  • Yu. É. Korchagin
  • P. A. Kondratovich

We synthesize a maximum-likely algorithm for detecting an arbitrary-shaped signal with unknown duration and amplitude, which is observed against the background of additive Gaussian white noise. The synthesized algorithm is analyzed on the assumption of sufficiently large signal-to-noise ratios. Asymptotically accurate expressions for the detection-error probabilities are found. The efficiency of the synthesized algorithm is estimated by numerical simulation and the applicability limits of the asymptotic expressions are determined.


Decision Statistic Asymptotic Expression Rectangular Pulse Gaussian Random Process Unknown Amplitude 


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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • A. P. Trifonov
    • 1
  • Yu. É. Korchagin
    • 1
  • P. A. Kondratovich
    • 1
  1. 1.Voronezh State UniversityVoronezhRussia

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