The relative study of vector median filters and marginal median filters

摘要

It is well known that median filtering is effective for restoring multi-channel signals corrupted by impulse noise. In the case of the multi-channel signal, some median filters can be defined. Vector median filters and marginal median filters (i.e., median filtering for each channel) are typical median filters for the multi-channel signal. However, we don't know which is better for restoring. In this paper, we relative study of the vector median filters and marginal median filters. Through this study, we show that the marginal median filter is superior to the vector median filter tinder the mean square error criterion.