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   -> Volume 4, Issue 4


Preprint: Characterization of signals by the ridges ...
 
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Rene Carmona
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PostPosted: Mon Dec 02, 2002 6:07 pm    
Subject: Preprint: Characterization of signals by the ridges ...
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Preprint: Characterization of signals by the ridges ...

Preprint Available by anonymous ftp from

chelsea.math.uci.edu

Title: Characterization of signals by the ridges of their wavelet transforms

Authors: Rene A. Carmona, Wen L. Hwang and Bruno Torresani

Abstract: Many procedures have been developed to characterize a signal
by some of the salient features of a specific transform, whether it is
the Fourier, the Gabor, the Wigner or more recently the wavelet
transform. Ridges in the modulus of the transform determine regions in
the transform domain with a high concentration of energy. For this
reason they are regarded as natural candidates for the
characterization and the reconstruction of the original signal. We
present a couple of new algorithmic procedures for the detection of
ridges in the modulus of the (continuous) wavelet transform of
one-dimensional signals. These detection procedures are shown to be
robust to additive noise. We also derive and test a new reconstruction
procedure. The latter uses 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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