Solving a Convolution Problem

1. What is convolution example?
2. Why do we calculate convolution?

What is convolution example?

The convolution can be defined for functions on Euclidean space and other groups (as algebraic structures). For example, periodic functions, such as the discrete-time Fourier transform, can be defined on a circle and convolved by periodic convolution. (See row 18 at DTFT § Properties.)

Why do we calculate convolution?

Convolution is important because it relates the three signals of interest: the input signal, the output signal, and the impulse response.