The system for igniting a fuel-air-mixture in a combustion engine by a method according to one of the previous claims, with one or several combustion chambers, which are limited by walls that are at earth potential, wherein an electrical resonant circuit is energized with an electrical high-frequency generator, in which an ignition electrode extending electrically insulated through one of the walls of the combustion chamber and protruding into the combustion chamber forms a capacitance in conjunction with the walls of the combustion chamber at earth potential, and wherein a control device is provided, which controls the energization of the resonant circuit in such a way that a corona discharge igniting the fuel-air-mixture is generated in the combustion chamber by avoiding a spark discharge between the ignition electrode and the walls of the combustion chamber, wherein means for observing the alternating current flowing in the resonant circuit, means for observing the alternating voltage energizing the resonant circuit and/or means for observing the impedance of the resonant circuit, and an analysing circuit, which generates characteristic values specifying the state of the combustion chamber and/or the state of the mixture present in the combustion chamber from the observations and/or from one or several measured values derived therefrom and/or from their chronological progression and keeps them ready for further processing on an interface.