Multiridge detection and time-frequency reconstruction

Rene A. Carmona, Wen L. Hwang, Bruno Torrésani

Research output: Contribution to journalArticle

161 Scopus citations

Abstract

The ridges of the wavelet transform, the Gabor transform, or any time-frequency representation of a signal contain crucial information on the characteristics of the signal. Indeed, they mark the regions of the time-frequency plane where the signal concentrates most of its energy. We introduce a new algorithm to detect and identify these ridges. The procedure is based on an original form of Markov chain Monte Carlo algorithm especially adapted to the present situation. We show that this detection algorithm is especially useful for noisy signals with multiridge transforms. It is a common practice among practitioners to reconstruct a signal from the skeleton of a transform of the signal (i.e., the restriction of the transform to the ridges.) After reviewing several known procedures, we introduce a new reconstruction algorithm, and we illustrate its efficiency on speech signals and its robustness and stability on chirps perturbed by synthetic noises at different SNR's.

Original languageEnglish (US)
Pages (from-to)480-492
Number of pages13
JournalIEEE Transactions on Signal Processing
Volume47
Issue number2
DOIs
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

Keywords

  • Continuous wavelet transform
  • Redundancy
  • Signal detection
  • Signal reconstruction
  • Stochastic relaxation methods
  • Time-frequency analysis

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