Convolution

Convolution(Q210857)

Convolution is a mathematical operation that expresses the product of two functions. It refers to both the result function and to the process of computing it. After one function is reversed and shifted it could be seen as the integral of the product of the two functions.

The equation of convolution of f() of t and g() of t: $f(t)*g(t)=\int _{0}^{t}f(\tau )f(t-\tau )d\tau$

- from " The Convolution of Two Functions Definition & Properties"

In this equation, the star between f(t) and g(t) is not multiplication * this star takes two different functions and combines them into one function. The t in the equation is just a variable, and the tau $\tau$ were just the dummy variable of integration.