Characterization of signals by the ridges of their wavelet transforms

Rene A. Carmona; W. L. Hwang

doi:10.1109/78.640725

Characterization of signals by the ridges of their wavelet transforms

Rene A. Carmona, W. L. Hwang

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321 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	2586-2590
Number of pages	5
Journal	IEEE Transactions on Signal Processing
Volume	45
Issue number	10
DOIs	https://doi.org/10.1109/78.640725
State	Published - 1997

All Science Journal Classification (ASJC) codes

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.640725

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abstract = "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.",

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AB - 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.

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Characterization of signals by the ridges of their wavelet transforms

Abstract

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