Limit-cycle oscillations are caused by the compounding of quantization errors that occurs when previous digital filter outputs are used as inputs to the digital filter for the current operation. Where a signal in a digital waveform has become a constant common value applied to the input of the digital filter (indicative that the digital waveform has suspended conveyance of data), limit-cycle oscillations often appear as "random" outputs, with values different from the common value, that occur long after the signal in the digital waveform has become the constant common value. Limit-cycle oscillations are manifested as noise in the filtered digital waveform. Such noise hampers the ability of the system to extract the signal from the filtered digital waveform. The present invention identifies the occurrence of a limit-cycle oscillation as an output different from the common value. The identified limit-cycle oscillation is set equal to the common value.