Wavelet shrinkage estimators of Hilbert transform
Copyright policy )Wavelet shrinkage estimators of Hilbert transform
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.
- Beihang University China (People's Republic of)
Wavelets shrinkage, Mathematics(all), Numerical Analysis, Applied Mathematics, wavelet shrinkage, nonstandard form, Hilbert transform, Maximal operator, Nonstandard form, Other transformations of harmonic type, maximal operator, Analysis
Wavelets shrinkage, Mathematics(all), Numerical Analysis, Applied Mathematics, wavelet shrinkage, nonstandard form, Hilbert transform, Maximal operator, Nonstandard form, Other transformations of harmonic type, maximal operator, Analysis
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