A fast computation method for time scale signal denoising

Vittoria Bruni, Benedetto Piccoli, Domenico Vitulano

Research output: Contribution to journalArticle

23 Scopus citations

Abstract

This paper presents a novel and fast scheme for signal denoising in the wavelet domain. It exploits the time scale structure of the wavelet coefficients by modeling them as superposition of simple atoms, whose spreading in the time scale plane formally is the solution of a couple of differential equations. In this paper, we will show how the numerical solution of such equations can be avoided leading to a speed up of the scale linking computation. This result is achieved through a suitable projection space of the wavelet local extrema, requiring just least squares and filtering operations. Intensive experimental results show the competitive performances of the proposed approach in terms of signal to noise ratio (SNR), visual quality and computing time.

Original languageEnglish (US)
Pages (from-to)63-83
Number of pages21
JournalSignal, Image and Video Processing
Volume3
Issue number1
DOIs
StatePublished - May 1 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

Keywords

  • Image and signal denoising
  • Modulus maxima representation
  • Time frequency atoms
  • Time scale trajectories
  • Wavelet transform

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