While in a triggered experiment the matching of the RPC transmission line impedance with the one of the front-end electronics is less critical, for a triggerless data recording this becomes mandatory. As expected, impedance matching is not straightforward when other requirements in terms of time and position resolutions, efficiency and granularity, have to be fulfilled in the same time. A method and the very first results obtained with a RPC prototype built based on it, presented in this paper, show that the impedance matching, independent of its granularity, can be achieved using an innovative architecture of the RPC.