On the representation of operators in bases of compactly supported wavelets
SIAM Journal on Numerical Analysis
Pointwise convergence of wavelet expansions
Journal of Approximation Theory
De-noising by soft-thresholding
IEEE Transactions on Information Theory
| Hi-index | 0.00 |
Wavelet shrinkage is a strategy to obtain a nonlinear approximation to a given signal and is widely used in data compression, signal processing, statistics, etc. Based on wavelet shrinkage estimators of the original function f, we construct the estimators of its Hilbert transform Hf with the help of a representation due to Beylkin, Coifman and Rokhlin. The almost everywhere convergence and norm convergence of the proposed estimators are established.