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Chapitre D'ouvrage Année : 1995

Identification of Chirps with Continuous Wavelet Transform

Résumé

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.
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Dates et versions

hal-01304136 , version 1 (19-04-2016)

Identifiants

Citer

René Carmona, Wen-Liang Hwang, Bruno Torrésani. Identification of Chirps with Continuous Wavelet Transform. Anestis Antoniadis, Georges Oppenheim. Wavelets and Statistics, 103, Springer, pp.95-108, 1995, Lecture Notes in Statistics, 978-0-387-94564-4. ⟨10.1007/978-1-4612-2544-7_7⟩. ⟨hal-01304136⟩
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