The Open Signal Processing Journal

2010, 3 : 6-12
Published online 2010 January 29. DOI: 10.2174/18768253010030100006
Publisher ID: TOSIGPJ-3-6

Hysteresis Thresholding: A Graph-Based Wavelet Block Denoising Algorithm

Radu Ranta and Valerie Louis-Dorr
Centre de Recherche en Automatique de Nancy (CRAN), Nancy-Universite, CNRS, 2 avenue de la Foret de Haye F-54516 Vandoeuvre-les-Nancy, France.

ABSTRACT

This communication aims to combine several previously proposed wavelet denoising algorithms into a novel heuristic block method. The proposed “hysteresis” thresholding uses two thresholds simultaneously in order to combine detection and minimal alteration of informative features of the processed signal. This approach exploits the graph structure of the wavelet decomposition to detect clusters of significant wavelet coefficients. The new algorithm is compared with classical denoising methods on simulated benchmark signals.

Keywords:

Wavelets, block denoising, transitive closure.