A Simple Method for Estimating Parameters of Damped Oscillation.

Mechanical vibration signals can be approximated to the linear combination ofdamped oscillating waveforms in many cases. In this paper, a simple method is proposed for estimating the parameters of damped oscillation. First, a periodogram of damped oscillation is induced theoretically. Interpolating the periodogram, the angular frequency of the damped oscillation can be estimated accuratelly even when the length of signals is short. The damping factor of the damped oscillation is also estimated using the periodogram. From the results of computer simulation shown that the error between the estimated angular frequency and the true value is less than 10% even when the signal to noise ratio of the oscillating waveforms is equal to 0 dB.