Phase-synchronized-weighted median filter and some questions of estimation of quality of its response to a frequency-modulated signal

We discuss the specific features of the phase-synchronized-weighted median filters when processing the frequency-modulated (sweep) signals. The estimation of the response quality of such a filter is found, and a functional, enabling us to reduce the problem of the choice of the filter structure to the problem of minimization the functional, is introduced. The conclusions obtained are confirmed by the results of numerical statistical modelling.