Research into periodic signal processing by the median filters

We discuss a specific nature of the phase-synchronized-weighted (Synphase-Weighted) Median Filters when processing frequency-modulated (possibly, swip) signals recorded at a discrete time. It is shown that the response of the Synphase-Weighted Median Filters weaker depends on the filter length than the response of conventional median filters. The conclusions obtained are confirmed by the results of numerical statistical modeling. The algorithm of processing of a signal with a frequency band 5 Hz is presented.