A circuit arrangement includes a phase locked loop configured to produce a controlled frequency. The phase locked loop has an actuating input and a control loop output, with it being possible to tap off the frequency at the control loop output. In addition, a frequency meter is provided, which is connected to the control loop output of the phase locked loop. The frequency meter is configured to measure the frequency of the phase locked loop. Finally, a computation unit is provided in order to determine a gradient associated with the phase locked loop and generate a correction value based thereon, wherein the correction value is employed to mitigate a deterioration in the loop bandwidth due to variations in the gradient.