Wavelet shrinkage estimators of Hilbert transform
type: Item
instance of: scholarly article
title: Wavelet shrinkage estimators of Hilbert transform
zbMATH Open document ID: 1235.42031
author: Di-Rong Chen
author: Yao Zhao
published in: Journal of Approximation Theory
publication date: 2011-06-14T00:00:00Z
review text: Wavelet shrinkage is a nonlinear approximation strategy and is widely used in many applications. Based on wavelet shrinkage estimators of the original function \(f\), this paper constructs an estimator of its Hilbert transform \(Hf\) and then establishes the almost everywhere convergence and norm convergence of the proposed estimators. A numerical example is also provided to illustrate the performance of the proposed wavelet shrinkage estimators of the Hilbert transform.
reviewed by: Bin Han
Mathematics Subject Classification ID: 42C20
zbMATH DE Number: 5907571
zbMATH Keywords: wavelet shrinkage
zbMATH Keywords: Hilbert transform
zbMATH Keywords: nonstandard form
zbMATH Keywords: maximal operator
describes a project that uses: S+WAVELETS
MaRDI profile type: Publication
full work available at URL: j.jat.2011.02.005
OpenAlex ID: W2047647056
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DOI: 10.1016/J.JAT.2011.02.005
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description: scientific article; zbMATH DE number 5907571