Signals and Systems

7.3 GRAPHICAL CONVOLUTION

In this article graphical convolution is explained here. Let us consider two sided signal. Let us consider a signal shown in Fig. 7.1. let x₁(t) and x₂(t) are identical to x(t). Therefore,

 

 

Fig. 7.1 Signal x(t)

 

for a given t.

 

The meaning of the words ‘graphically process’ is to find x₁(λ), x₂(t – λ) and to multiply these two. The multiplication of these two gives the area under the function for a given ‘t’. From Fig. 7.2, x₁(λ) is nothing but x(t) with the name of x-axis changed from t to λ. In Fig. 7.3, x₂(λ) ...