Waveform Signal – Crest Factor

Share on facebook
Share on twitter
Share on linkedin

The crest factor is also referred to as the peak-to-average ratio, or the the peak-to-average power ratio, for a waveform. It is the ratio between the peak amplitude of a waveform and the RMS value, as shown in the following equation:

C = Peak amplitude
         RMS Value

The crest factor can be an important parameter in signals that have periodic or random spikes dispersed throughout the signal. 

A machine with an out of balance condition will produce a pure sinusoidal wave as shown in Figure 1. If the waveform has a peak amplitude of 10, the crest factor is calculated as: 

C = Peak amplitude =        10         = 1.414
         RMS Value          10 x 0.707

Waveform Signal
Figure 1: Pure sinusoidal waveform for a machine with a mass imbalance

If the same machine, described above, had a bearing fault that is causing periodic impacting, the signal may look like the waveform in Figure 2. This waveform has a much higher crest factor because its peak amplitude is much greater, while the RMS value of the signal does not increase significantly. 

Waveform Signal
Figure 2: A spiky waveform with a high crest factor

 

If the same machine, described above, had a bearing fault that is causing periodic impacting, the signal may look like the waveform in Figure 2. This waveform has a much higher crest factor because its peak amplitude is much greater, while the RMS value of the signal does not increase significantly.