... observation about the phenomena is that the size of pseudo-Gibbs depends mainly on the location of adiscontinuity in the signal. For example, when using the Haarwavelets as basis, a discontinuity ... of the shift, but there isno guarantee that this will always be the case. If the signalhas several discontinuities, they may interfere with eachother, that is, the best shift for one discontinuity ... after denoising the data can be shifted back. Unfortunately, we do not know the location of the discontinuity. One method solving thissituation is optimization: develops a measure of artifacts...