Email this article Stabilized hard thresholding for an unknown noise level
- Authors: Shestakov O.V.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Institute of Informatics Problems, Federal Research Center for Computer Science and Control
- Issue: Vol 41, No 2 (2017)
- Pages: 70-75
- Section: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176179
- DOI: https://doi.org/10.3103/S0278641917020078
- ID: 176179
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Abstract
The effect wa ys of estimating noise variance on the statistical characteristics of the stabilized hard thresholding of signal wavelet coefficients is studied. An unbiased estimator of the mean-square risk is analyzed. It is shown that under certain conditions, the estimator distribution tends to a normal law with variance that depends on the type of noise variance estimate.
About the authors
O. V. Shestakov
Faculty of Computational Mathematics and Cybernetics; Institute of Informatics Problems, Federal Research Center for Computer Science and Control
Author for correspondence.
Email: oshestakov@cs.msu.su
Russian Federation, Moscow, 119991; Moscow, 119333
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