A digital filtering system is fed by input signal and produces an output signal from either a relatively low bandwidth filter or a relatively wide bandwidth filter selectively in accordance with the time rate of change in the input signal. The output signal is produced by the relatively low bandwidth filter when the input signal is slowly varying and the output signal is produced by the relatively wide bandwidth filter when the input signal changes rapidly, after which the output is produced from the relatively low bandwidth filter when the input signal reverts to its more slowly varying characteristics.