Time-varying averaging filter with functions k(t) and T(t)

In the article there is presented conclusion of analysis of filters examination. There was described 1st order filter properties, in which structure constant parameters were replaced by time-varying functions. It allows to shortening of the transient states with α — tolerance. Implementation of both varying parameters in that structure caused appearance of the overshoots. So that this simple structure indicates similar properties to higher order structure with constant parameters. Moreover, there was presented conclusion of examination of simulation of 2nd order filter, with using exactly this 1st order filter.