crest-factor

title	Crest factor
tags	basic

Crest factor

The crest factor is defined as the ratio of the peak amplitude to the RMS of a signal. It can be intepreted as a measure for the impulsiveness of a signal.

$$ \text{CrestFactor} = \frac{\max |x|}{\sqrt{\frac{1}{N} \sum_{i=0}^{N-1}{x[i] ^ 2}}} $$

Applications

• Fault detection in bearings and gear boxes

References

• https://en.wikipedia.org/wiki/Crest_factor
• Caesarendra, W., & Tjahjowidodo, T. (2017). A Review of Feature Extraction Methods in Vibration-Based Condition Monitoring and Its Application for Degradation Trend Estimation of Low-Speed Slew Bearing. Machines, 5(4), 21. https://doi.org/10.3390/machines5040021
• Abouel-seoud, S. A. (2018). Fault detection enhancement in wind turbine planetary gearbox via stationary vibration waveform data. Journal of Low Frequency Noise Vibration and Active Control. https://doi.org/10.1177/1461348417725950