Parametric analysis of weighted order statistic filters

In this paper, we study the convergence properties of weighted order statistic filters. Weighted order statistics filters are divided into five categories making their convergence properties easily understand. It is shown that any symmetric weighted order statistics filters will make the input sequence converge to a root or oscillate in a cycle of period 2. This result is significant since a restriction posed by earlier research is eliminated making the result applicable for the whole class of symmetric weighted order statistics filters. A condition to guarantee convergence of symmetric weighted order statistics filters is derived