The class of generalized hampel filters

The standard median filter has only one tuning parameter - the width of the moving window on which it is based - and this has led to the development of a number of extremely useful extensions, including the recursive median filter, weighted median filters, and recursive weighted median filters. The Hampel filter is a member of the class of decision filters that, as we note here, may be viewed as another generalization of the median filter. This paper exploits this relationship, defining and briefly exploring the class of generalized Hampel filters, obtained by applying the median filter extensions listed above.