How to Mesure the smoothness of a signal

1. How to measure the smoothness of a function?
2. What is signal smoothing?
3. How do you smooth a digital signal?

How to measure the smoothness of a function?

the smoothness of a function is a property measured by the number of derivatives it has which are continuous. A smooth function is a function that has derivatives of all orders everywhere in its domain.

What is signal smoothing?

In smoothing, the data points of a signal are modified so individual points higher than the adjacent points (presumably because of noise) are reduced, and points that are lower than the adjacent points are increased leading to a smoother signal.

How do you smooth a digital signal?

The easiest way to smooth a signal is by moving window average. A more advanced way is to use a Savitzky-Golay filter.