Nonlinear cell-average multiscale signal representations: Application to signal denoising

Authors:
Basarab Mateï;Sylvain Meignen
Affiliations:
LAGA Laboratory, Paris XIII University, France;LJK Laboratory, University of Grenoble, France
Venue:
Signal Processing
Year:
2012

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Abstract

In this paper, we present a new class of nonlinear cell-average multiscale signal representations. After having introduced the general multiscale framework, we recall convergence and stability results for such multiscale representations and then build a particular example which appears to be relevant for piecewise smooth functions denoising.