Differentiation
Differentiation is the operation that differentiates a signal according to time.
The processing steps applied to the signal when using Differentiation are as follows:
Up-sample 4x: the time signal is resampled to four times its original sampling frequency.
Differentiation algorithms may create artifacts at high frequencies. By up-sampling the signal before differentiation, you ensure that the artifacts will be created outside the frequency band of interest.
Differentiate: the time signal is then differentiated using the Central Difference Gradient method.
This method appears to be the most appropriate when dealing with velocity and displacement time data.
Down-sample x1/4: the current time signal is resampled to the sampling frequency of the original signal.
To avoid aliasing, the resampling function applies a low-pass filter before the resampling itself. This ensures that the potential high-frequency artifacts are removed from the signal.