How to integrate and differentiate sampled signals?

1. How do you know when to differentiate or integrate?
2. What is signal integration?
3. How do you differentiate a signal in Matlab?
4. What is sampling of signal?

How do you know when to differentiate or integrate?

Differentiation is used to study the small change of a quantity with respect to unit change of another. (Check the Differentiation Rules here). On the other hand, integration is used to add small and discrete data, which cannot be added singularly and representing in a single value.

What is signal integration?

Integration of any signal means the summation of that signal under particular time domain to get a modified signal.

How do you differentiate a signal in Matlab?

You want to differentiate a signal without increasing the noise power. MATLAB®'s function diff amplifies the noise, and the resulting inaccuracy worsens for higher derivatives. To fix this problem, use a differentiator filter instead.

What is sampling of signal?

In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal. A common example is the conversion of a sound wave to a sequence of "samples".