Recursive polynomial weighted median filtering

In the paper, the recursive polynomial weighted median (RPWM) filtering is introduced. The derivation of a technique is based on the recursive polynomial and recursive median filtering. The specific case of the second-order of recursive polynomial weighted median filter was discussed in detail. The adaptive equations for the filter coefficients were also presented. It was tested that a specific unknown nonlinear system can better approximated with a RPWM filter than with a polynomial weighted median (PWM) one and where the RPWM filter output is more stable for an impulse like input signal interference. The equations for the adaptation of the nonnegative integer WM subfilters in a RPWM filter were also given. (C) 2010 Elsevier B.V. All rights reserved.