In the process of collecting vibration data, a large component of one channel was clipped. The data was acquired on an analog recorder and has been subsequently digitized. (The analog tapes are still available.) The digitizer's sampling frequency was about 10-times that of the dominant waveform that was clipped so there is a significant amount of "good" data (nominally 10 points per cycle). What is the best way of reconstructing the signal in the clipped regions? It seems that a simple interpolation using y=A*Sin(w*t) should work -- but I've got a brain-block when trying to solve the simultaneous equations.
The frequency does vary with time but is stable over many (>50) cycles.
The data was from an intermediate state of a structure that cannot be recreated.
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