Noise and Uncertainty Analysis for Time and Frequency Domain Vibration Measurements using Acceleration Sensors

Displacement measurement systems based on acceleration sensors provide an interesting sensing approach for vibration monitoring. Hereby the displacement is computed by a double integration of the acceleration signals. The main challenge hereby are offset signals in the acceleration signal. Hence a lower cutoff frequency has to be determined for this sensing principle. However, not only DC components in the acceleration signal have to be considered, but also the measurement noise in the acceleration signal has to be taken into account. In this work we present a noise and uncertainty analysis for accelerometer based displacement measurement using a MEMS based sensor. We hereby investigate time domain and frequency domain displacement measurements. Theoretical results and comparative numerical studies are presented.