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.
scientific article; zbMATH DE number 5907571
scientific article