Convergence and performances of the peeling wavelet denoising algorithm

Details Convergence and performances of the peeling wavelet denoising algorithm Convergence and performances of the peeling wavelet denoising algorithm

2009-11-20

arxiv.org/abs/0911.4097v1

Mathematics

Statistics Theory

20 pages

Scientific paper

This note is devoted to an analysis of the so-called peeling algorithm in wavelet denoising. Assuming that the wavelet coefficients of the signal can be modeled by generalized Gaussian random variables, we compute a critical thresholding constant for the algorithm, which depends on the shape parameter of the generalized Gaussian distribution. We also quantify the optimal number of steps which have to be performed, and analyze the convergence of the algorithm. Several versions of the obtained algorithm were implemented and tested against classical wavelet denoising procedures on benchmark and simulated biological signals.

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