A method and device for generating a simulated signal relating to a temperature in the exhaust system of a motor vehicle. By means of a characteristic curve or a characteristic diagram, a signal for a steady state exhaust gas temperature is generated as a function of the flow rate of gas through the internal combustion engine of the motor vehicle. This signal is further processed to generate a signal for a rapid portion and to form a signal for a slow portion of the exhaust gas temperature. The signals for the two portions are superimposed with a prescribable weighting to generate a signal for the exhaust gas temperature. The signal for the slow portion can be logically connected, before the superimposition, to a correction value which depends on the speed of the vehicle.