Filtering Signals
 Integrating a Signal
Objective:
  To show the low-pass filtering effect of integrating a signal.
Steps:
Consider the square wave shown in the diagram. By adding the area 'under the curve' we can graphically observe the effect of integrating the signal. However, we need to resort to mathematics to determine the frequency content of the signal.
   
We have seen the mathematical representation of a square wave before (see here). If we integrate this series on a term by term basis we get the expression for a triangular wave.
From the differences in frequency response we discover the low-pass filtering effect of the integration process.

 

 
3 of 4
Background colour: