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Detecting a transient signal by bispectral analysis

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Advances in Communications and Signal Processing

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 129))

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Abstract

This paper presents a method for detecting an unknown transient signal a(t) of duration T in broadband noise. All that is known about the signal is that its frequency band is in the interval (fa,fb), and that the value of T is within some error band. Thus, matched filtering detection is not appropriate for this problem since the signal waveform is unknown. The method uses a newly discovered mathematical property of the bispectrum of a bandlimited continuous time random process. It is shown that the detectability of the signal is a function of (Tfo)2/3ρ where ρ denotes the signal-to-noise ratio and fo=fb−fa. This result implies that the bispectrum based test may be used to detect a weak signal of unknown form when standard energy detection methods will have small detection probabilities.

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Authors and Affiliations

  1. The University of Texas at Austin, USA

    Melvin J. Hinich

Authors
  1. Melvin J. Hinich
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Editor information

William A. Porter Subhash C. Kak

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© 1989 Springer-Verlag

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Hinich, M.J. (1989). Detecting a transient signal by bispectral analysis. In: Porter, W.A., Kak, S.C. (eds) Advances in Communications and Signal Processing. Lecture Notes in Control and Information Sciences, vol 129. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042723

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  • DOI: https://doi.org/10.1007/BFb0042723

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51424-4

  • Online ISBN: 978-3-540-46259-0

  • eBook Packages: Springer Book Archive

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