Characterization of signals by the ridges of their wavelettransforms

  • Authors:
  • R.A. Carmona;W.L. Hwang;B. Torresani

  • Affiliations:
  • Stat. & Oper. Res. Program, Princeton Univ., NJ;-;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1997

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Abstract

The characterization and the separation of amplitude and frequency modulated signals is a classical problem of signal analysis and signal processing. We present a couple of new algorithmic procedures for the detection of ridges in the modulus of the (continuous) wavelet transform of one-dimensional (1-D) signals. These detection procedures are shown to be robust to additive white noise. We also derive and test a new reconstruction procedure. The latter uses only information from the restriction of the wavelet transform to a sample of points from the ridge. This provides a very efficient way to code the information contained in the signal