Title
MDL Denoising Revisited
Abstract
We refine and extend an earlier minimum description length (MDL) denoising criterion for wavelet-based denoising. We start by showing that the denoising problem can be reformulated as a clustering problem, where the goal is to obtain separate clusters for informative and noninformative wavelet coefficients, respectively. This suggests two refinements, adding a code-length for the model index, and extending the model in order to account for subband-dependent coefficient distributions. A third refinement is the derivation of soft thresholding inspired by predictive universal coding with weighted mixtures. We propose a practical method incorporating all three refinements, which is shown to achieve good performance and robustness in denoising both artificial and natural signals.
Year
DOI
Venue
2009
10.1109/TSP.2009.2021633
IEEE Transactions on Signal Processing
Keywords
DocType
Volume
signal denoising,wavelet transforms,mdl denoising,clustering problem,earlier minimum description length,model index,predictive universal coding,subband-dependent coefficient distributions,wavelet-based denoising,minimum description length (mdl) principle,denoising,wavelets,minimum description length,indexing terms
Journal
57
Issue
ISSN
Citations 
9
1053-587X
17
PageRank 
References 
Authors
1.24
23
3
Name
Order
Citations
PageRank
Teemu Roos143661.32
Petri Myllymaki2699.84
Jorma Rissanen31665798.14