Abstract: A new expression for weighted order statistic(WOS) filters has been developed. The importance of this expression is that it makes it very easy to solve the optimization problem of WOS filters under MAE, MSE and LNE criteria. From this expression, the adaptive algorithms for optimizing WOS filters on the LNE criterion(with MAE and MSE criteria as its special cases) have been proposed. The effectiveness of the algorithm is verified by experiments, so the optimization problem of WOS has been resolved.

Key words: nonlinear filtering, order statistic, filter designing, optimization algorithm