Piecewise smooth signal denoising via principal curve projections

Date
2008-10
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Source Title
Proceedings of the 2008 IEEE Workshop on Machine Learning for Signal Processing, MLSP 2008
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Publisher
IEEE
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Pages
426 - 431
Language
English
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Abstract

One common problem in signal denoising is that if the signal has a blocky, in other words a piecewise-smooth structure, the denoised signal may suffer from oversmoothed discontinuities or exhibit artifacts very similar to Gibbs phenomenon. In the literature, total variation methods and some modifications on the signal reconstructions based on wavelet coefficients are proposed to overcome these problems. We take a novel approach by introducing principal curve projections as an artifact-free signal denoising filter alternative. The proposed approach leads to a nonparametric denoising algorithm that does not lead to Gibbs effect or so-called staircase type unnatural artifacts in the denoised signal. ©2008 IEEE.

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Published Version (Please cite this version)