Identification of Chirps with Continuous Wavelet Transform

  • René Carmona
  • Wen Liang Hwang
  • Bruno Torrésani
Part of the Lecture Notes in Statistics book series (LNS, volume 103)


Chirps are signals (or sums of signals) that may be characterized by a local (i.e. time-dependent) amplitude and a local frequency. Time-frequency representations such as wavelet representations are well adapted to the characterization problem of such chirps. Ridges in the modulus of the transform determine regions in the transform domain with a high concentration of energy, and are regarded as natural candidates for the characterization and the reconstruction of the original signal. A couple of algorithmic procedures for the estimation of ridges from the modulus of the (continuous) wavelet transform of one-dimensional signals are described, together with a new reconstruction procedure, using only information of the restriction of the wavelet transform to a sample of points from the ridge. This provides with a very efficient way to code the information contained in the signal.


Como Rene Keystone 


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Copyright information

© Springer-Verlag New York 1995

Authors and Affiliations

  • René Carmona
    • 1
  • Wen Liang Hwang
    • 1
  • Bruno Torrésani
    • 2
  1. 1.Department of MathematicsUniversity of California at IrvineIrvineUSA
  2. 2.CNRS-Luminy, Case 907CPTMarseille Cedex 09France

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