In an anomaly detector that detects an abnormal condition of an oscillation signal of a circuit such as a vibratory sensing circuit, the oscillation signal, having AC and DC components, is converted to a pair of first and second signals of either opposite-polarity DC amplitudes or opposite-phase alternating amplitudes. The first and second signals are combined to cancel the AC component of the oscillation signal to detect the DC component. The DC component is then compared with the upper and lower thresholds of a decision range to produce an alarm if the DC component goes outside the decision range. In one embodiment, the first and second signals are produced by detecting positive and negative peak values of the oscillation signal at intervals. In a second embodiment, the first signal is produced by high-pass filtering the oscillation signal as a replica of the AC component and the second signal is the oscillation signal itself.